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Mathematical Physics With Partial Differential Equations

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Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics Book
Author : S. L. Sobolev
Publisher : Elsevier
Release : 2016-06-06
ISBN : 1483181367
Language : En, Es, Fr & De

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Book Description :

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.

Mathematical Physics with Partial Differential Equations

Mathematical Physics with Partial Differential Equations Book
Author : James Kirkwood
Publisher : Academic Press
Release : 2018-02-26
ISBN : 0128147601
Language : En, Es, Fr & De

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Book Description :

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 in Classical Mathematical Physics

Partial Differential Equations in Classical Mathematical Physics Book
Author : Isaak Rubinstein,Lev Rubinstein
Publisher : Cambridge University Press
Release : 1998-04-28
ISBN : 9780521558464
Language : En, Es, Fr & De

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Book Description :

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 Book
Author : Richard Courant,David Hilbert
Publisher : John Wiley & Sons
Release : 2008-09-26
ISBN : 3527617248
Language : En, Es, Fr & De

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Book Description :

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 of Mathematical Physics

Partial Differential Equations of Mathematical Physics Book
Author : Arthur Godon Webster
Publisher : Courier Dover Publications
Release : 2016-06-15
ISBN : 0486805158
Language : En, Es, Fr & De

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Book Description :

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 Physics

Partial Differential Equations in Physics Book
Author : Anonim
Publisher : Academic Press
Release : 1949-01-01
ISBN : 9780080873091
Language : En, Es, Fr & De

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Book Description :

The topic with which I regularly conclude my six-term series of lectures in Munich is the partial differential equations of physics. We do not really deal with mathematical physics, but with physical mathematics; not with the mathematical formulation of physical facts, but with the physical motivation of mathematical methods. The oftmentioned “prestabilized harmony between what is mathematically interesting and what is physically important is met at each step and lends an esthetic - I should like to say metaphysical -- attraction to our subject. The problems to be treated belong mainly to the classical matherhatical literature, as shown by their connection with the names of Laplace, Fourier, Green, Gauss, Riemann, and William Thomson. In order to show that these methods are adequate to deal with actual problems, we treat the propagation of radio waves in some detail in Chapter VI.

Partial Differential Equations of Mathematical Physics and Integral Equations

Partial Differential Equations of Mathematical Physics and Integral Equations Book
Author : Ronald B. Guenther,John W. Lee
Publisher : Courier Corporation
Release : 2012-09-19
ISBN : 0486137627
Language : En, Es, Fr & De

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Book Description :

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.

Partial Differential Equations and Mathematical Physics

Partial Differential Equations and Mathematical Physics Book
Author : Kunihiko Kajitani,Jean Vaillant
Publisher : Springer Science & Business Media
Release : 2002-12-13
ISBN : 9780817643096
Language : En, Es, Fr & De

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Book Description :

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.

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics Book
Author : H. Bateman
Publisher : Cambridge University Press
Release : 1932-12-01
ISBN : 9780521091633
Language : En, Es, Fr & De

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Book Description :

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.

Mathematical Methods in Physics

Mathematical Methods in Physics Book
Author : Victor Henner,Tatyana Belozerova,Kyle Forinash
Publisher : CRC Press
Release : 2009-06-18
ISBN : 1439865167
Language : En, Es, Fr & De

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Book Description :

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

Partial Differential Equations I

Partial Differential Equations I Book
Author : Michael Eugene Taylor,Eberhard Zeidler
Publisher : Springer Science & Business Media
Release : 1996
ISBN : 9780387946535
Language : En, Es, Fr & De

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Book Description :

This book is intended to be a comprehensive introduction to the subject of partial differential equations. It should be useful to graduate students at all levels beyond that of a basic course in measure theory. It should also be of interest to professional mathematicians in analysis, mathematical physics, and differential geometry. This work will be divided into three volumes, the first of which focuses on the theory of ordinary differential equations and a survey of basic linear PDEs.

Partial Differential Equations for Scientists and Engineers

Partial Differential Equations for Scientists and Engineers Book
Author : Stanley J. Farlow
Publisher : Courier Corporation
Release : 2012-03-08
ISBN : 0486134733
Language : En, Es, Fr & De

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Book Description :

Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.

Methods of Mathematical Physics

Methods of Mathematical Physics Book
Author : Richard Courant,David Hilbert
Publisher : Wiley-VCH
Release : 1989
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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.

Lectures on Partial Differential Equations

Lectures on Partial Differential Equations Book
Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
Release : 2013-06-29
ISBN : 3662054418
Language : En, Es, Fr & De

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Book Description :

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.

Applied Partial Differential Equations

Applied Partial Differential Equations Book
Author : J. David Logan
Publisher : Springer Science & Business Media
Release : 2004-05-11
ISBN : 9780387209357
Language : En, Es, Fr & De

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Book Description :

"This second edition contains new and additional exercises, and it includes a new chapter on the applications of PDEs to biology: age structured models, pattern formation, epidemic wave fronts, and advection-diffusion processes. The student who reads through this book and solves many of the exercises will have a sound knowledge base for upper division mathematics, science, and engineering courses where detailed models and applications are introduced."--BOOK JACKET.

Partial Differential Equations for Mathematical Physicists

Partial Differential Equations for Mathematical Physicists Book
Author : Bijan Kumar Bagchi
Publisher : CRC Press
Release : 2019-07-02
ISBN : 1000228932
Language : En, Es, Fr & De

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Book Description :

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.

Differential Equations Asymptotic Analysis and Mathematical Physics

Differential Equations  Asymptotic Analysis  and Mathematical Physics Book
Author : Michael Demuth,Bert-Wolfgang Schulze
Publisher : John Wiley & Sons
Release : 1997
ISBN : 9783055017698
Language : En, Es, Fr & De

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Book Description :

This volume contains a collection of original papers, associated with the International Conference on Partial Differential Equations, held in Potsdam, July 29 to August 2, 1996. The conference has taken place every year on a high scientific level since 1991; this event is connected with the activities of the Max Planck Research Group for Partial Differential Equations at Potsdam. Outstanding researchers and specialists from Armenia, Belarus, Belgium, Bulgaria, Canada, China, France, Germany, Great Britain, India, Israel, Italy, Japan, Poland, Romania, Russia, Spain, Sweden, Switzerland, Ukraine, and the USA contribute to this volume. The main topics concern recent progress in partial differential equations, microlocal analysis, pseudo-differential operators on manifolds with singularities, aspects in differential geometry and index theory, operator theory and operator algebras, stochastic spectral analysis, semigroups, Dirichlet forms, Schrodinger operators, semiclassical analysis, and scattering theory.

Equations of Mathematical Physics

Equations of Mathematical Physics Book
Author : A. N. Tikhonov,A. A. Samarskii
Publisher : Courier Corporation
Release : 2013-09-16
ISBN : 0486173364
Language : En, Es, Fr & De

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Book Description :

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

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 Book
Author : Fritz Gesztesy
Publisher : Unknown
Release : 2018
ISBN : 9783037196861
Language : En, Es, Fr & De

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Book Description :

Download Non Linear Partial Differential Equations Mathematical Physics and Stochastic Analysis The Helge Holden Anniversary Volume book written by Fritz Gesztesy, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Partial Differential Equations

Partial Differential Equations Book
Author : Jeffrey Rauch
Publisher : Springer Science & Business Media
Release : 1991
ISBN : 9780387974729
Language : En, Es, Fr & De

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Book Description :

This book is based on a course I have given five times at the University of Michigan, beginning in 1973. The aim is to present an introduction to a sampling of ideas, phenomena, and methods from the subject of partial differential equations that can be presented in one semester and requires no previous knowledge of differential equations. The problems, with hints and discussion, form an important and integral part of the course. In our department, students with a variety of specialties-notably differen tial geometry, numerical analysis, mathematical physics, complex analysis, physics, and partial differential equations-have a need for such a course. The goal of a one-term course forces the omission of many topics. Everyone, including me, can find fault with the selections that I have made. One of the things that makes partial differential equations difficult to learn is that it uses a wide variety of tools. In a short course, there is no time for the leisurely development of background material. Consequently, I suppose that the reader is trained in advanced calculus, real analysis, the rudiments of complex analysis, and the language offunctional analysis. Such a background is not unusual for the students mentioned above. Students missing one of the "essentials" can usually catch up simultaneously. A more difficult problem is what to do about the Theory of Distributions.