Partial Differential Equations

Partial Differential Equations
Title Partial Differential Equations PDF eBook
Author Mark S. Gockenbach
Publisher SIAM
Pages 665
Release 2010-12-02
Genre Mathematics
ISBN 0898719356

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A fresh, forward-looking undergraduate textbook that treats the finite element method and classical Fourier series method with equal emphasis.

A First Course in the Numerical Analysis of Differential Equations

A First Course in the Numerical Analysis of Differential Equations
Title A First Course in the Numerical Analysis of Differential Equations PDF eBook
Author A. Iserles
Publisher Cambridge University Press
Pages 481
Release 2009
Genre Mathematics
ISBN 0521734908

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lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.

Partial Differential Equations

Partial Differential Equations
Title Partial Differential Equations PDF eBook
Author Lawrence C. Evans
Publisher American Mathematical Soc.
Pages 778
Release 2010
Genre Mathematics
ISBN 0821849743

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This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, a significantly expanded bibliography. About the First Edition: I have used this book for both regular PDE and topics courses. It has a wonderful combination of insight and technical detail...Evans' book is evidence of his mastering of the field and the clarity of presentation (Luis Caffarelli, University of Texas) It is fun to teach from Evans' book. It explains many of the essential ideas and techniques of partial differential equations ...Every graduate student in analysis should read it. (David Jerison, MIT) I use Partial Differential Equations to prepare my students for their Topic exam, which is a requirement before starting working on their dissertation. The book provides an excellent account of PDE's ...I am very happy with the preparation it provides my students. (Carlos Kenig, University of Chicago) Evans' book has already attained the status of a classic. It is a clear choice for students just learning the subject, as well as for experts who wish to broaden their knowledge ...An outstanding reference for many aspects of the field. (Rafe Mazzeo, Stanford University.

Modern Elementary Differential Equations

Modern Elementary Differential Equations
Title Modern Elementary Differential Equations PDF eBook
Author Richard Bellman
Publisher Courier Corporation
Pages 260
Release 1995-01-01
Genre Mathematics
ISBN 9780486686431

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Designed to introduce students to the theory and applications of differential equations and to help them formulate scientific problems in terms of such equations, this undergraduate-level text emphasizes applications to problems in biology, economics, engineering, and physics. This edition also includes material on discontinuous solutions, Riccati and Euler equations, and linear difference equations.

Ordinary Differential Equations with Applications

Ordinary Differential Equations with Applications
Title Ordinary Differential Equations with Applications PDF eBook
Author Sze-Bi Hsu
Publisher World Scientific
Pages 258
Release 2006
Genre Mathematics
ISBN 9812563199

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During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).This useful book, which is based around the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques.Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook or as a valuable resource for researchers.

Numerical Methods for Ordinary Differential Equations

Numerical Methods for Ordinary Differential Equations
Title Numerical Methods for Ordinary Differential Equations PDF eBook
Author J. C. Butcher
Publisher John Wiley & Sons
Pages 442
Release 2004-08-20
Genre Mathematics
ISBN 0470868260

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This new book updates the exceptionally popular Numerical Analysis of Ordinary Differential Equations. "This book is...an indispensible reference for any researcher."-American Mathematical Society on the First Edition. Features: * New exercises included in each chapter. * Author is widely regarded as the world expert on Runge-Kutta methods * Didactic aspects of the book have been enhanced by interspersing the text with exercises. * Updated Bibliography.

Partial Differential Equations

Partial Differential Equations
Title Partial Differential Equations PDF eBook
Author Walter A. Strauss
Publisher John Wiley & Sons
Pages 467
Release 2007-12-21
Genre Mathematics
ISBN 0470054565

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Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.