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Mathematical Physics with Partial Differential Equations

Mathematical Physics with Partial Differential Equations
  • Author : James Kirkwood
  • Publisher :Unknown
  • Release Date :2018-02-26
  • Total pages :492
  • ISBN : 9780128147603
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Summary : Mathematical Physics with Partial Differential Equations, Second Edition, is designed for upper division undergraduate and beginning graduate students taking mathematical physics taught out by math departments. The new edition is based on the success of the first, with a continuing focus on clear presentation, detailed examples, mathematical rigor and a careful selection of topics. It presents the familiar classical topics and methods of mathematical physics with more extensive coverage of the three most important partial differential equations in the field of mathematical physics—the heat equation, the wave equation and Laplace’s equation. The book presents the most common techniques of solving these equations, and their derivations are developed in detail for a deeper understanding of mathematical applications. Unlike many physics-leaning mathematical physics books on the market, this work is heavily rooted in math, making the book more appealing for students wanting to progress in mathematical physics, with particularly deep coverage of Green’s functions, the Fourier transform, and the Laplace transform. A salient characteristic is the focus on fewer topics but at a far more rigorous level of detail than comparable undergraduate-facing textbooks. The depth of some of these topics, such as the Dirac-delta distribution, is not matched elsewhere. New features in this edition include: novel and illustrative examples from physics including the 1-dimensional quantum mechanical oscillator, the hydrogen atom and the rigid rotor model; chapter-length discussion of relevant functions, including the Hermite polynomials, Legendre polynomials, Laguerre polynomials and Bessel functions; and all-new focus on complex examples only solvable by multiple methods. Introduces and evaluates numerous physical and engineering concepts in a rigorous mathematical framework Provides extremely detailed mathematical derivations and solutions with extensive proofs and weighting for application potential Explores an array of detailed examples from physics that give direct application to rigorous mathematics Offers instructors useful resources for teaching, including an illustrated instructor's manual, PowerPoint presentations in each chapter and a solutions manual

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics
  • Author : S. L. Sobolev
  • Publisher :Unknown
  • Release Date :2016-06-06
  • Total pages :440
  • ISBN : 9781483181363
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Summary : Pure and Applied Mathematics, Volume 56: Partial Differential Equations of Mathematical Physics provides a collection of lectures related to the partial differentiation of mathematical physics. This book covers a variety of topics, including waves, heat conduction, hydrodynamics, and other physical problems. Comprised of 30 lectures, this book begins with an overview of the theory of the equations of mathematical physics that has its object the study of the integral, differential, and functional equations describing various natural phenomena. This text then examines the linear equations of the second order with real coefficients. Other lectures consider the Lebesgue–Fubini theorem on the possibility of changing the order of integration in a multiple integral. This book discusses as well the Dirichlet problem and the Neumann problem for domains other than a sphere or half-space. The final lecture deals with the properties of spherical functions. This book is a valuable resource for mathematicians.

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics
  • Author : Arthur Godon Webster
  • Publisher :Unknown
  • Release Date :2016-06-15
  • Total pages :464
  • ISBN : 9780486805153
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Summary : A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers. Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.

Partial Differential Equations in Classical Mathematical Physics

Partial Differential Equations in Classical Mathematical Physics
  • Author : Isaak Rubinstein,Lev Rubinstein
  • Publisher :Unknown
  • Release Date :1998-04-28
  • Total pages :677
  • ISBN : 0521558468
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Summary : The book's combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs.

Methods of Mathematical Physics

Methods of Mathematical Physics
  • Author : Richard Courant,David Hilbert
  • Publisher :Unknown
  • Release Date :2008-09-26
  • Total pages :852
  • ISBN : 9783527617241
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Summary : Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.

Partial Differential Equations for Mathematical Physicists

Partial Differential Equations for Mathematical Physicists
  • Author : Bijan Kumar Bagchi
  • Publisher :Unknown
  • Release Date :2019-07-02
  • Total pages :224
  • ISBN : 9781000228939
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Summary : Partial Differential Equations for Mathematical Physicists is intended for graduate students, researchers of theoretical physics and applied mathematics, and professionals who want to take a course in partial differential equations. This book offers the essentials of the subject with the prerequisite being only an elementary knowledge of introductory calculus, ordinary differential equations, and certain aspects of classical mechanics. We have stressed more the methodologies of partial differential equations and how they can be implemented as tools for extracting their solutions rather than dwelling on the foundational aspects. After covering some basic material, the book proceeds to focus mostly on the three main types of second order linear equations, namely those belonging to the elliptic, hyperbolic, and parabolic classes. For such equations a detailed treatment is given of the derivation of Green's functions, and of the roles of characteristics and techniques required in handling the solutions with the expected amount of rigor. In this regard we have discussed at length the method of separation variables, application of Green's function technique, and employment of Fourier and Laplace's transforms. Also collected in the appendices are some useful results from the Dirac delta function, Fourier transform, and Laplace transform meant to be used as supplementary materials to the text. A good number of problems is worked out and an equally large number of exercises has been appended at the end of each chapter keeping in mind the needs of the students. It is expected that this book will provide a systematic and unitary coverage of the basics of partial differential equations. Key Features An adequate and substantive exposition of the subject. Covers a wide range of important topics. Maintains mathematical rigor throughout. Organizes materials in a self-contained way with each chapter ending with a summary. Contains a large number of worked out problems.

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics
  • Author : H. Bateman
  • Publisher :Unknown
  • Release Date :1932-12-01
  • Total pages :548
  • ISBN : 0521091632
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Summary : Harry Bateman (1882-1946) was an esteemed mathematician particularly known for his work on special functions and partial differential equations. This book, first published in 1932, has been reprinted many times and is a classic example of Bateman's work. Partial Differential Equations of Mathematical Physics was developed chiefly with the aim of obtaining exact analytical expressions for the solution of the boundary problems of mathematical physics.

Partial Differential Equations of Mathematical Physics and Integral Equations

Partial Differential Equations of Mathematical Physics and Integral Equations
  • Author : Ronald B. Guenther,John W. Lee
  • Publisher :Unknown
  • Release Date :2012-09-19
  • Total pages :576
  • ISBN : 9780486137629
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Summary : Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.

Mathematical Methods in Physics

Mathematical Methods in Physics
  • Author : Victor Henner,Tatyana Belozerova,Kyle Forinash
  • Publisher :Unknown
  • Release Date :2009-06-18
  • Total pages :859
  • ISBN : 9781439865163
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Summary : This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that

Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume

Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume
  • Author : Fritz Gesztesy
  • Publisher :Unknown
  • Release Date :2018
  • Total pages :229
  • ISBN : 3037196866
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Summary :

Equations of Mathematical Physics

Equations of Mathematical Physics
  • Author : A. N. Tikhonov,A. A. Samarskii
  • Publisher :Unknown
  • Release Date :2013-09-16
  • Total pages :800
  • ISBN : 9780486173368
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Summary : DIVThorough, rigorous advanced-undergraduate to graduate-level treatment of problems leading to partial differential equations. Hyperbolic, parabolic, elliptic equations; wave propagation in space, heat conduction in space, more. Problems. Appendixes. /div

Partial Differential Equations arising from Physics and Geometry

Partial Differential Equations arising from Physics and Geometry
  • Author : Mohamed Ben Ayed,Mohamed Ali Jendoubi,Yomna Rébaï,Hasna Riahi,Hatem Zaag
  • Publisher :Unknown
  • Release Date :2019-04-30
  • Total pages :486
  • ISBN : 9781108431637
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Summary : Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.

Lectures on Partial Differential Equations

Lectures on Partial Differential Equations
  • Author : Vladimir I. Arnold
  • Publisher :Unknown
  • Release Date :2013-06-29
  • Total pages :162
  • ISBN : 9783662054413
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Summary : Choice Outstanding Title! (January 2006) This richly illustrated text covers the Cauchy and Neumann problems for the classical linear equations of mathematical physics. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging! What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.

Ordinary and Partial Differential Equations

Ordinary and Partial Differential Equations
  • Author : Ravi P. Agarwal,Donal O'Regan
  • Publisher :Unknown
  • Release Date :2008-11-13
  • Total pages :410
  • ISBN : 9780387791463
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Summary : In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.

Physical Mathematics and Nonlinear Partial Differential Equations

Physical Mathematics and Nonlinear Partial Differential Equations
  • Author : James H. Lightbourne
  • Publisher :Unknown
  • Release Date :2020-12-18
  • Total pages :280
  • ISBN : 9781000154238
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Summary : This volume consists of the proceedings of the conference on Physical Mathematics and Nonlinear Partial Differential Equations held at West Virginia University in Morgantown. It describes some work dealing with weak limits of solutions to nonlinear systems of partial differential equations.

Physics and Partial Differential Equations

Physics and Partial Differential Equations
  • Author : Tatsien Li,Tiehu Qin
  • Publisher :Unknown
  • Release Date :2013-08-14
  • Total pages :264
  • ISBN : 9781611972269
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Summary : Now available in English for the first time, Physics and Partial Differential Equations, Volume I bridges physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines. Readers who are more familiar with mathematics than physics will discover the connection between various physical and mechanical disciplines and their related mathematical models, which are described by partial differential equations (PDEs). The authors establish the fundamental equations for fields such as electrodynamics; fluid dynamics, magnetohydrodynamics, and reacting fluid dynamics; elastic, thermoelastic, and viscoelastic mechanics; the kinetic theory of gases; special relativity; and quantum mechanics. Readers who are more familiar with physics than mathematics will benefit from in-depth explanations of how PDEs work as effective mathematical tools to more clearly express and present the basic concepts of physics. The book describes the mathematical structures and features of these PDEs, including the types and basic characteristics of the equations, the behavior of solutions, and some commonly used approaches to solving PDEs. Each chapter can be read independently and includes exercises and references.

Introduction to Partial Differential Equations

Introduction to Partial Differential Equations
  • Author : Gerald B. Folland
  • Publisher :Unknown
  • Release Date :2020-05-26
  • Total pages :229
  • ISBN : 9780691213033
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Summary : The description for this book, Introduction to Partial Differential Equations. (MN-17), Volume 17, will be forthcoming.

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Kernel Functions and Elliptic Differential Equations in Mathematical Physics
  • Author : Stefan Bergman,Menahem Schiffer
  • Publisher :Unknown
  • Release Date :2013-01-23
  • Total pages :464
  • ISBN : 9780486154657
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Summary : Covers the theory of boundary value problems in partial differential equations and discusses a portion of the theory from a unifying point of view while providing an introduction to each branch of its applications. 1953 edition.

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics
  • Author : Tyn Myint U.,Manhattan College
  • Publisher :Unknown
  • Release Date :1969
  • Total pages :305
  • ISBN : OCLC:127509826
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Summary :

Partial Differential Equations in Physics

Partial Differential Equations in Physics
  • Author : Arnold Sommerfeld
  • Publisher :Unknown
  • Release Date :1961
  • Total pages :335
  • ISBN : 8187169494
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Summary :

Partial Differential Equations and Mathematical Physics

Partial Differential Equations and Mathematical Physics
  • Author : Kunihiko Kajitani,Jean Vaillant
  • Publisher :Unknown
  • Release Date :2002-12-13
  • Total pages :243
  • ISBN : 0817643095
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Summary : A wide range of topics in partial differential equations, complex analysis, and mathematical physics are presented to commemorate the memory of the great French mathematician Jean Leray. The 17 research articles are written by some of the world's leading mathematicians who explore important current subjects. Most articles contain complete proofs and excellent bibliographies. For graduate students and mathematical physicists as well as mathematicians in analysis and PDEs.