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Products in the "Mathematics" Category from Infinity Books Japan
Items in the "Mathematics" category at Infinity Books Japan
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20230604T05:46:3305:00

https://www.infinitybooksjapan.com/product/sku/RWARE0000063053
10453955642RWARE00000630539780817639143
20230604T05:46:3305:00
Trigonometry
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the socalled transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of science. It is a very old subject. Many of the geometric results that we now state in trigonometric terms were given a purely geometric exposition by Euclid. Ptolemy, an early astronomer, began to go beyond Euclid, using the geometry of the time to construct what we now call tables of values of trigonometric functions. Trigonometry is an important introduction to calculus, where one stud ies what mathematicians call analytic properties of functions. One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself. This way of thinking is useful not just in calculus, but in many mathematical situations. So trigonometry is a part of precalculus, and is related to other precalculus topics, such as exponential and logarithmic functions, and complex numbers.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the socalled transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of science. It is a very old subject. Many of the geometric results that we now state in trigonometric terms were given a purely geometric exposition by Euclid. Ptolemy, an early astronomer, began to go beyond Euclid, using the geometry of the time to construct what we now call tables of values of trigonometric functions. Trigonometry is an important introduction to calculus, where one stud ies what mathematicians call analytic properties of functions. One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself. This way of thinking is useful not just in calculus, but in many mathematical situations. So trigonometry is a part of precalculus, and is related to other precalculus topics, such as exponential and logarithmic functions, and complex numbers.
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Gelfand, I.M.
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062985
10453955563RWARE00000629859780486246116
20230604T05:46:3305:00
ShortCut Math
Double or triple your calculation speed! ShortCut Math is a concise, remar kably clear compendium of timesaving tricks that provide faster, easier way s to add, subtract, multiply, and divide. Easy to understand, get results quickly, save time, no special ability requ ired! Can you multiply 362 x .5 quickly in your head? Could you readily cal culate the square of 41? How much is 635 divided by 2½? Can 727,648 be even ly divided by 8? If any of these questions took you more than a few seconds to solve, you need this book. ShortCut Math is a concise, remarkably clea r compendium of about 150 math shortcuts. By using the simple foolproof me thods in this volume, you can double or triple your calculation speed  eve n if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in m inutes: Adding by 10 Groups; NoCarry Addition; Subtraction Without Borrowi ng; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Num bers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract An y Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more. The shortcuts in this book require no special math ability. If you can do o rdinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon  no long drills or exercises. For each problem, the author provides an explanation of the method and a s tepbystep solution. Then the shortcut is applied, with a proof and an exp lanation of why it works. Students, teachers, businesspeople, accountants, bank tellers, checkout clerks  anyone who uses numbers and wishe.
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Double or triple your calculation speed! ShortCut Math is a concise, remar kably clear compendium of timesaving tricks that provide faster, easier way s to add, subtract, multiply, and divide. Easy to understand, get results quickly, save time, no special ability requ ired! Can you multiply 362 x .5 quickly in your head? Could you readily cal culate the square of 41? How much is 635 divided by 2½? Can 727,648 be even ly divided by 8? If any of these questions took you more than a few seconds to solve, you need this book. ShortCut Math is a concise, remarkably clea r compendium of about 150 math shortcuts. By using the simple foolproof me thods in this volume, you can double or triple your calculation speed  eve n if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in m inutes: Adding by 10 Groups; NoCarry Addition; Subtraction Without Borrowi ng; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Num bers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract An y Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more. The shortcuts in this book require no special math ability. If you can do o rdinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon  no long drills or exercises. For each problem, the author provides an explanation of the method and a s tepbystep solution. Then the shortcut is applied, with a proof and an exp lanation of why it works. Students, teachers, businesspeople, accountants, bank tellers, checkout clerks  anyone who uses numbers and wishe.
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Kelly, Gerard W.
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062269
10453954807RWARE00000622699780553384734
20230604T05:46:3305:00
Super Crunchers: Why ThinkingByNumbers is the New Way To Be Smart
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. NEW YORK TIMES BESTSELLER ? With new information on crunching your own numb ers to get the edge the experts have An international sensationand still the talk of the relevant blogosphere this Wall Street Journal and New York Times business bestseller examines t he "power" in numbers. Today more than ever, number crunching affects your life in ways you might not even imagine. Intuition and experience are no lo nger enough to make the grade. In order to succeedeven survivein our da tabased world, you need to become statistically literate. Cuttingedge organizations are already crunching increasingly larger databases to find the unseen connections among seemingly unconnected things to predict human behavior with staggeringly accurate results. From Internet sites like Google and Amazon that use filters to keep track of your tastes and your purchasing history, to insurance companies and government agencies that every day make decisions affecting your life, the brave new world of the super crunchers is happening right now. No one who wants to stay ahead of the curve should make another keystroke without reading Ian Ayres's engrossing and enlightening book.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. NEW YORK TIMES BESTSELLER ? With new information on crunching your own numb ers to get the edge the experts have An international sensationand still the talk of the relevant blogosphere this Wall Street Journal and New York Times business bestseller examines t he "power" in numbers. Today more than ever, number crunching affects your life in ways you might not even imagine. Intuition and experience are no lo nger enough to make the grade. In order to succeedeven survivein our da tabased world, you need to become statistically literate. Cuttingedge organizations are already crunching increasingly larger databases to find the unseen connections among seemingly unconnected things to predict human behavior with staggeringly accurate results. From Internet sites like Google and Amazon that use filters to keep track of your tastes and your purchasing history, to insurance companies and government agencies that every day make decisions affecting your life, the brave new world of the super crunchers is happening right now. No one who wants to stay ahead of the curve should make another keystroke without reading Ian Ayres's engrossing and enlightening book.
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Ayres, Ian
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062247
10453954776RWARE00000622479780486676203
20230604T05:46:3305:00
Partial Differential Equations for Scientists and Engineers (Dover Books on Mathematics)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Most physical phenomena, whether in the domain of fluid dynamics, electrici ty, magnetism, mechanics, optics, or heat flow, can be described in general by partial differential equations. Indeed, such equations are crucial to m athematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete de scription of physical systems resides in the general area of partial differ ential equations. This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusiontype problems, hyperbolictype problems, elliptictype problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Most physical phenomena, whether in the domain of fluid dynamics, electrici ty, magnetism, mechanics, optics, or heat flow, can be described in general by partial differential equations. Indeed, such equations are crucial to m athematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete de scription of physical systems resides in the general area of partial differ ential equations. This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusiontype problems, hyperbolictype problems, elliptictype problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.
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Farlow, Stanley J.
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062246
10453954775RWARE00000622469780486686400
20230604T05:46:3305:00
A First Course in Partial Differential Equations: with Complex Variables an d Transform Methods (Dover Books on Mathematics)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This popular text was created for a oneyear undergraduate course or beginn ing graduate course in partial differential equations, including the elemen tary theory of complex variables. It employs a framework in which the gener al properties of partial differential equations, such as characteristics, d omains of independence, and maximum principles, can be clearly seen. The on ly prerequisite is a good course in calculus. Incorporating many of the techniques of applied mathematics, the book also contains most of the concepts of rigorous analysis usually found in a cours e in advanced calculus. These techniques and concepts are presented in a se tting where their need is clear and their application immediate. Chapters I through IV cover the onedimensional wave equation, linear secondorder pa rtial differential equations in two variables, some properties of elliptic and parabolic equations and separation of variables, and Fourier series. Ch apters V through VIII address nonhomogeneous problems, problems in higher d imensions and multiple Fourier series, SturmLiouville theory, and general Fourier expansions and analytic functions of a complex variable. The last four chapters are devoted to the evaluation of integrals by complex variable methods, solutions based on the Fourier and Laplace transforms, and numerical approximation methods. Numerous exercises are included throughout the text, with solutions at the back.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This popular text was created for a oneyear undergraduate course or beginn ing graduate course in partial differential equations, including the elemen tary theory of complex variables. It employs a framework in which the gener al properties of partial differential equations, such as characteristics, d omains of independence, and maximum principles, can be clearly seen. The on ly prerequisite is a good course in calculus. Incorporating many of the techniques of applied mathematics, the book also contains most of the concepts of rigorous analysis usually found in a cours e in advanced calculus. These techniques and concepts are presented in a se tting where their need is clear and their application immediate. Chapters I through IV cover the onedimensional wave equation, linear secondorder pa rtial differential equations in two variables, some properties of elliptic and parabolic equations and separation of variables, and Fourier series. Ch apters V through VIII address nonhomogeneous problems, problems in higher d imensions and multiple Fourier series, SturmLiouville theory, and general Fourier expansions and analytic functions of a complex variable. The last four chapters are devoted to the evaluation of integrals by complex variable methods, solutions based on the Fourier and Laplace transforms, and numerical approximation methods. Numerous exercises are included throughout the text, with solutions at the back.
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Weinberger, H. F.
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062244
10453954773RWARE00000622449780521176835
20230604T05:46:3305:00
A Student's Guide to Fourier Transforms: With Applications in Physics and E ngineering (Student's Guides)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multidimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van CittertZernike theorem, Babinet's principle and dipole arrays.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multidimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van CittertZernike theorem, Babinet's principle and dipole arrays.
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James, J. F.
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062237
10453954766RWARE00000622379780387975207
20230604T05:46:3305:00
Computational Inelasticity (Interdisciplinary Applied Mathematics, 7)
A description of the theoretical foundations of inelasticity, its numerical formulation and implementation, constituting a representative sample of st ateoftheart methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplast icity, convex optimisation theory, integration algorithms for the constitut ive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalisation of the theory to nonsmooth yield surface, mathematical numerical analysis issues of general return mapping algorithm s, the generalisation to finitestrain inelasticity theory, objective integ ration algorithms for rate constitutive equations, the theory of hyperelast icbased plasticity models and small and large deformation viscoelasticity. Of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.
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A description of the theoretical foundations of inelasticity, its numerical formulation and implementation, constituting a representative sample of st ateoftheart methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplast icity, convex optimisation theory, integration algorithms for the constitut ive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalisation of the theory to nonsmooth yield surface, mathematical numerical analysis issues of general return mapping algorithm s, the generalisation to finitestrain inelasticity theory, objective integ ration algorithms for rate constitutive equations, the theory of hyperelast icbased plasticity models and small and large deformation viscoelasticity. Of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.
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Simo, J.C.
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062236
10453954765RWARE00000622369780387966373
20230604T05:46:3305:00
The Boltzmann Equation and Its Applications (Applied Mathematical Sciences, 67)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Statistical mechanics may be naturally divided into two branches, one dealing with equilibrium systems, the other with nonequilibrium systems. The equilibrium properties of macroscopic systems are defined in principle by suitable averages in welldefined Gibbs's ensembles. This provides a frame work for both qualitative understanding and quantitative approximations to equilibrium behaviour. Nonequilibrium phenomena are much less understood at the present time. A notable exception is offered by the case of dilute gases. Here a basic equation was established by Ludwig Boltzmann in 1872. The Boltzmann equation still forms the basis for the kinetic theory of gases and has proved fruitful not only for a study of the classical gases Boltzmann had in mind but also, properly generalized, for studying electron transport in solids and plasmas, neutron transport in nuclear reactors, phonon transport in superfluids, and radiative transfer in planetary and stellar atmospheres. Research in both the new fields and the old one has undergone a considerable advance in the last thirty years.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Statistical mechanics may be naturally divided into two branches, one dealing with equilibrium systems, the other with nonequilibrium systems. The equilibrium properties of macroscopic systems are defined in principle by suitable averages in welldefined Gibbs's ensembles. This provides a frame work for both qualitative understanding and quantitative approximations to equilibrium behaviour. Nonequilibrium phenomena are much less understood at the present time. A notable exception is offered by the case of dilute gases. Here a basic equation was established by Ludwig Boltzmann in 1872. The Boltzmann equation still forms the basis for the kinetic theory of gases and has proved fruitful not only for a study of the classical gases Boltzmann had in mind but also, properly generalized, for studying electron transport in solids and plasmas, neutron transport in nuclear reactors, phonon transport in superfluids, and radiative transfer in planetary and stellar atmospheres. Research in both the new fields and the old one has undergone a considerable advance in the last thirty years.
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Cercignani, Carlo
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062232
10453954761RWARE00000622329783319356808
20230604T05:46:3305:00
Numerical Methods for Nonlinear Partial Differential Equations (Springer Se ries in Computational Mathematics, 47)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. The description of many interesting phenomena in science and engineering leads to infinitedimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. The description of many interesting phenomena in science and engineering leads to infinitedimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.
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Bartels, Sören
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062222
10453954751RWARE00000622229780486835907
20230604T05:46:3305:00
Understanding Vector Calculus: Practical Development and Solved Problems (D over Books on Mathematics)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This concise text was created as a workbook for learning to use vector calc ulus in practical calculations and derivations. Its only prerequisite is a familiarity with onedimensional differential and integral calculus. Though it often makes use of physical examples, knowledge of physics itself is no t required to study the mathematics of vector calculus. The approach is sui table for advanced undergraduates and graduate students in mathematics, phy sics, and other areas of science. The twopart treatment opens with a brief text that develops vector calculu s from the very beginning and then addresses some more detailed application s. Topics include vector differential operators, vector identities, integra l theorems, Dirac delta function, Green's functions, general coordinate sys tems, and dyadics. The second part consists of answered problems, all close ly related to the development of vector calculus in the text. Those who stu dy this book and work out the problems will find that rather than memorizin g long equations or consulting references, they will be able to work out ca lculations as they go. Dover original publication.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This concise text was created as a workbook for learning to use vector calc ulus in practical calculations and derivations. Its only prerequisite is a familiarity with onedimensional differential and integral calculus. Though it often makes use of physical examples, knowledge of physics itself is no t required to study the mathematics of vector calculus. The approach is sui table for advanced undergraduates and graduate students in mathematics, phy sics, and other areas of science. The twopart treatment opens with a brief text that develops vector calculu s from the very beginning and then addresses some more detailed application s. Topics include vector differential operators, vector identities, integra l theorems, Dirac delta function, Green's functions, general coordinate sys tems, and dyadics. The second part consists of answered problems, all close ly related to the development of vector calculus in the text. Those who stu dy this book and work out the problems will find that rather than memorizin g long equations or consulting references, they will be able to work out ca lculations as they go. Dover original publication.
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Franklin, Jerrold
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062218
10453954747RWARE00000622189783642086694
20230604T05:46:3305:00
Numerical Bifurcation Analysis for ReactionDiffusion Equations (Springer S eries in Computational Mathematics, 28)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reactiondiffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reactiondiffusion equations.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reactiondiffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reactiondiffusion equations.
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Mei, Zhen
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062217
10453954746RWARE00000622179783642057076
20230604T05:46:3305:00
Numerical Solution of TimeDependent AdvectionDiffusionReaction Equations (Springer Series in Computational Mathematics, 33)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Unique book on ReactionAdvectionDiffusion problems Editorial Reviews Review From the reviews: "The numerical solution of timedependent advectiondiffusionreaction prob lems draws on different areas of numerical analysis ... . We appreciate tha t the quite thorough, yet not pedantic, analytic part of the presentation i s intimately interwoven with numerical tests and examples which will enable the reader to judge on the relative merits of the various approaches and r eally aid him in developing proper software for the problem at hand." (H. M utsham, Monatshefte für Mathematik, Vol. 144 (2), 2005) "Let me say at the outset that I highly recommend this book to practitioner s ... endusers, and those new to the field. One of its strengths is its in depth presentation of temporal and spatial discretizations and their inter action ... . With each topic, key theoretical results are presented. ... I found the present authors' choice of problems to be one of the highlights o f the book." (Peter Moore, SIAM Review, Vol. 46 (3), 2004) "This excellent research monograph contains a comprehensive discussion of numerical techniques for advectionreactiondiffusion partial differential equations (PDEs). The emphasis is on a method of lines approach, the analysis is careful and complete, and the numerical tests designed to verify the theoretical discussions of stability, convergence, monotonicity, etc. involve solving 'real life' equations. ... As is to be expected in such a carefully prepared.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Unique book on ReactionAdvectionDiffusion problems Editorial Reviews Review From the reviews: "The numerical solution of timedependent advectiondiffusionreaction prob lems draws on different areas of numerical analysis ... . We appreciate tha t the quite thorough, yet not pedantic, analytic part of the presentation i s intimately interwoven with numerical tests and examples which will enable the reader to judge on the relative merits of the various approaches and r eally aid him in developing proper software for the problem at hand." (H. M utsham, Monatshefte für Mathematik, Vol. 144 (2), 2005) "Let me say at the outset that I highly recommend this book to practitioner s ... endusers, and those new to the field. One of its strengths is its in depth presentation of temporal and spatial discretizations and their inter action ... . With each topic, key theoretical results are presented. ... I found the present authors' choice of problems to be one of the highlights o f the book." (Peter Moore, SIAM Review, Vol. 46 (3), 2004) "This excellent research monograph contains a comprehensive discussion of numerical techniques for advectionreactiondiffusion partial differential equations (PDEs). The emphasis is on a method of lines approach, the analysis is careful and complete, and the numerical tests designed to verify the theoretical discussions of stability, convergence, monotonicity, etc. involve solving 'real life' equations. ... As is to be expected in such a carefully prepared.
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Hundsdorfer, Willem
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062216
10453954745RWARE00000622169781441926111
20230604T05:46:3305:00
The Mathematical Theory of Finite Element Methods (Texts in Applied Mathema tics, 15)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This is the third and yet further updated edition of a highly regarded math ematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. Her volume formalizes basic tools that are commonly used by resea rchers in the field but not previously published. The book is ideal for mat hematicians as well as engineers and physical scientists. It can be used fo r a course that provides an introduction to basic functional analysis, appr oximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes. Editorial Reviews Review Second Edition S.C. Brenner and L.R. Scott The Mathematical Theory of Finite Element Methods "[This is] a wellwritten book. A great deal of material is covered, and st udents who have taken the trouble to master at least some of the advanced m aterial in the later chapters would be well placed to embark on research in the area." ZENTRALBLATT MATH From the reviews of the third edition: "An excelent survey of the deep mathematical roots of finite element methods as well as of some of the newest and most formal results concerning these methods. ... The approach remains very clear and precise ... . A significant number of examples and exercises improve considerably the acc.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This is the third and yet further updated edition of a highly regarded math ematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. Her volume formalizes basic tools that are commonly used by resea rchers in the field but not previously published. The book is ideal for mat hematicians as well as engineers and physical scientists. It can be used fo r a course that provides an introduction to basic functional analysis, appr oximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes. Editorial Reviews Review Second Edition S.C. Brenner and L.R. Scott The Mathematical Theory of Finite Element Methods "[This is] a wellwritten book. A great deal of material is covered, and st udents who have taken the trouble to master at least some of the advanced m aterial in the later chapters would be well placed to embark on research in the area." ZENTRALBLATT MATH From the reviews of the third edition: "An excelent survey of the deep mathematical roots of finite element methods as well as of some of the newest and most formal results concerning these methods. ... The approach remains very clear and precise ... . A significant number of examples and exercises improve considerably the acc.
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Brenner, Susanne
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062215
10453954744RWARE00000622159781441924636
20230604T05:46:3305:00
Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Application s (Texts in Applied Mathematics, 54)
This book offers an introduction to the key ideas, basic analysis, and effi cient implementation of discontinuous Galerkin finite element methods (DGF EM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant re sults from approximation theory, convergence theory for numerical PDE's, an d orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE's: Ma xwell's equations, Euler equations, incompressible NavierStokes equations, and Poisson and Helmholtz equations. Editorial Reviews Review From the reviews: "This book provides comprehensive coverage of the major aspects of the DGF EM, from derivation, analysis and implementation of the method to simulatio n of application problems. It is a highly valuable volume in the literature on the DGFEM. It is also suitable as a textbook for a graduatelevel cour se for students in computational and applied mathematics, physics and engin eering." Mathematical Reviews "The book under review presents basic ideas, theoretical analysis, MATLAB implementation and applications of the DGFEM. ... The representative references quoted are useful for any reader interested in applying the method in a particular area. ... This book provides comprehensive coverage of the major aspects of the DGFEM ... . It is a highly valuable volume in the literature on the DGFEM. It is also suitable as a textbook for a graduatelevel course for students in computational and applied mathematics, physics, and engineering." (Weimin Han, Mathematical Reviews,
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This book offers an introduction to the key ideas, basic analysis, and effi cient implementation of discontinuous Galerkin finite element methods (DGF EM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant re sults from approximation theory, convergence theory for numerical PDE's, an d orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE's: Ma xwell's equations, Euler equations, incompressible NavierStokes equations, and Poisson and Helmholtz equations. Editorial Reviews Review From the reviews: "This book provides comprehensive coverage of the major aspects of the DGF EM, from derivation, analysis and implementation of the method to simulatio n of application problems. It is a highly valuable volume in the literature on the DGFEM. It is also suitable as a textbook for a graduatelevel cour se for students in computational and applied mathematics, physics and engin eering." Mathematical Reviews "The book under review presents basic ideas, theoretical analysis, MATLAB implementation and applications of the DGFEM. ... The representative references quoted are useful for any reader interested in applying the method in a particular area. ... This book provides comprehensive coverage of the major aspects of the DGFEM ... . It is a highly valuable volume in the literature on the DGFEM. It is also suitable as a textbook for a graduatelevel course for students in computational and applied mathematics, physics, and engineering." (Weimin Han, Mathematical Reviews,
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Hesthaven, Jan S.
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062212
10453954741RWARE00000622129783540331216
20230604T05:46:3305:00
Galerkin Finite Element Methods for Parabolic Problems (Springer Series in Computational Mathematics, 25)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This book provides insight into the mathematics of Galerkin finite element method as applied to parabolic equations. The revised second edition has be en influenced by recent progress in application of semigroup theory to stab ility and error analysis, particulatly in maximumnorm. Two new chapters ha ve also been added, dealing with problems in polygonal, particularly noncov ex, spatial domains, and with time discretization based on using Laplace tr ansformation and quadrature. Editorial Reviews From the Back Cover This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution. The book gives an excellent insight in the present ideas and methods of analysis. The second edition has been influenced by recent progress in application of semigroup theory to stability and error analysis, particulatly in maximumnorm. Two new chapters have also been added, dealing with problems in polygonal, particularly noncovex, spatial domains, and with time discretization based on using Laplace transformation and quadrature.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This book provides insight into the mathematics of Galerkin finite element method as applied to parabolic equations. The revised second edition has be en influenced by recent progress in application of semigroup theory to stab ility and error analysis, particulatly in maximumnorm. Two new chapters ha ve also been added, dealing with problems in polygonal, particularly noncov ex, spatial domains, and with time discretization based on using Laplace tr ansformation and quadrature. Editorial Reviews From the Back Cover This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution. The book gives an excellent insight in the present ideas and methods of analysis. The second edition has been influenced by recent progress in application of semigroup theory to stability and error analysis, particulatly in maximumnorm. Two new chapters have also been added, dealing with problems in polygonal, particularly noncovex, spatial domains, and with time discretization based on using Laplace transformation and quadrature.
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Thomee, Vidar
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062210
10453954739RWARE00000622109781107008267
20230604T05:46:3305:00
Continuum Mechanics and Thermodynamics: From Fundamental Concepts to Govern ing Equations
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Continuum mechanics and thermodynamics are foundational theories of many fields of science and engineering. This book presents a fresh perspective on these fundamental topics, connecting micro and nanoscopic theories and emphasizing topics relevant to understanding solidstate thermomechanical behavior. Providing clear, indepth coverage, the book gives a selfcontained treatment of topics directly related to nonlinear materials modeling. It starts with vectors and tensors, finite deformation kinematics, the fundamental balance and conservation laws, and classical thermodynamics. It then discusses the principles of constitutive theory and examples of constitutive models, presents a foundational treatment of energy principles and stability theory, and concludes with example closedform solutions and the essentials of finite elements. Together with its companion book, Modeling Materials, (Cambridge University Press, 2011), this work presents the fundamentals of multiscale materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Continuum mechanics and thermodynamics are foundational theories of many fields of science and engineering. This book presents a fresh perspective on these fundamental topics, connecting micro and nanoscopic theories and emphasizing topics relevant to understanding solidstate thermomechanical behavior. Providing clear, indepth coverage, the book gives a selfcontained treatment of topics directly related to nonlinear materials modeling. It starts with vectors and tensors, finite deformation kinematics, the fundamental balance and conservation laws, and classical thermodynamics. It then discusses the principles of constitutive theory and examples of constitutive models, presents a foundational treatment of energy principles and stability theory, and concludes with example closedform solutions and the essentials of finite elements. Together with its companion book, Modeling Materials, (Cambridge University Press, 2011), this work presents the fundamentals of multiscale materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
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Tadmor, Ellad B.
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062206
10453954735RWARE00000622069780486469003
20230604T05:46:3305:00
Numerical Solution of Partial Differential Equations by the Finite Element Method (Dover Books on Mathematics)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science and engineeringrelated specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and timedependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in nontechnical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science and engineeringrelated specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and timedependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in nontechnical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.
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Johnson, Claes
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062205
10453954734RWARE00000622059783540887058
20230604T05:46:3305:00
Partial Differential Equations with Numerical Methods (Texts in Applied Mat hematics, 45)
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the twopoint boundary value problem for ordinary differential equations. Similarly, the chapters on timedependent problems are preceded by a chapter on the initialvalue problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.
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A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the twopoint boundary value problem for ordinary differential equations. Similarly, the chapters on timedependent problems are preceded by a chapter on the initialvalue problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.
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Larsson, Stig
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062198
10453954727RWARE00000621989780521856980
20230604T05:46:3305:00
Modeling Materials: Continuum, Atomistic and Multiscale Techniques
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Material properties emerge from phenomena on scales ranging from Angstroms to millimeters, and only a multiscale treatment can provide a complete understanding. Materials researchers must therefore understand fundamental concepts and techniques from different fields, and these are presented in a comprehensive and integrated fashion for the first time in this book. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale techniques, the book explains many of the key theoretical ideas behind multiscale modeling. Classical topics are blended with new techniques to demonstrate the connections between different fields and highlight current research trends. Example applications drawn from modern research on the thermomechanical properties of crystalline solids are used as a unifying focus throughout the text. Together with its companion book, Continuum Mechanics and Thermodynamics (Cambridge University Press, 2011), this work presents the complete fundamentals of materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
Visit www.infinitybooksjapan.com
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Material properties emerge from phenomena on scales ranging from Angstroms to millimeters, and only a multiscale treatment can provide a complete understanding. Materials researchers must therefore understand fundamental concepts and techniques from different fields, and these are presented in a comprehensive and integrated fashion for the first time in this book. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale techniques, the book explains many of the key theoretical ideas behind multiscale modeling. Classical topics are blended with new techniques to demonstrate the connections between different fields and highlight current research trends. Example applications drawn from modern research on the thermomechanical properties of crystalline solids are used as a unifying focus throughout the text. Together with its companion book, Continuum Mechanics and Thermodynamics (Cambridge University Press, 2011), this work presents the complete fundamentals of materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
Visit www.infinitybooksjapan.com
Tadmor, Ellad B.
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan

https://www.infinitybooksjapan.com/product/sku/RWARE0000062197
10453954726RWARE00000621979780898716146
20230604T05:46:3305:00
Understanding and Implementing the Finite Element Method
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes, minimal highlighting. The spine remains undamaged. The finite element method is the most powerful generalpurpose technique for computing accurate solutions to partial differential equations. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics. The book is practical in nature. It includes a carefully documented collection of MATLAB programs implementing the ideas presented. Readers will benefit from a detailed explanation of data structures and specific coding strategies and will learn how to write a finite element code from scratch. Students can use the MATLAB codes to experiment with the method and extend them in various ways.
Visit www.infinitybooksjapan.com
A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes, minimal highlighting. The spine remains undamaged. The finite element method is the most powerful generalpurpose technique for computing accurate solutions to partial differential equations. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics. The book is practical in nature. It includes a carefully documented collection of MATLAB programs implementing the ideas presented. Readers will benefit from a detailed explanation of data structures and specific coding strategies and will learn how to write a finite element code from scratch. Students can use the MATLAB codes to experiment with the method and extend them in various ways.
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Gockenbach, Mark S.
Sun, 04 Jun 2023 05:46:33 0500
Infinity Books Japan