Introduction to Partial Differential Equations

(1 Customer Reviews)
, 2013-11-20, 650 pages

Editorial Reviews

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging both computational and conceptual, and supplementary material that motivates the student to delve further into the subject.

No previous experience with the subject of partial differential equations or Fourier is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, , boundary value problems, Green’s functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solitons, Huygens’.

Principle, quantum mechanical , and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.

Peter J. Olver is professor of mathematics at the University of Minnesota. His wide-ranging research interests are centered on the development of symmetry-based methods for differential equations and their manifold applications. He is the author of over 130 papers published in major scientific research journals as well as 4 other books, including the definitive Springer graduate text, Applications of Lie Groups to Differential Equations, and another undergraduate text, Applied Linear Algebra.

Table of Contents

Chapter 1 What Are Partial Differential Equations?
Chapter 2 Linear and Nonlinear Waves
Chapter 3 Fourier Series
Chapter 4 Separation of Variables
Chapter 5 Finite Differences
Chapter 6 Generalized Functions and Green’s Functions
Chapter 7 Fourier Transforms
Chapter 8 Linear and Nonlinear Evolution Equations
Chapter 9 A General for Linear Partial Differential Equations
Chapter 10 Finite Elements and Weak Solutions
Chapter 11 Dynamics of Planar Media
Chapter 12 Partial Differential Equations in Space

Appendix A Complex Numbers
Appendix B Linear Algebra

Book Details

QR code for Introduction to Partial Differential Equations
  • Title: Introduction to Partial Differential Equations
  • Author:
  • Length: 650 pages
  • Edition: 2014
  • Language: English
  • Publisher:
  • Publication Date: 2013-11-20
  • ISBN-10: 3319020986
  • ISBN-13: 9783319020983
Read More Details on Google Books

Book Preview

Introduction to Partial Differential Equations is available read online. Click to Read Sample Chapters Online

Book Reviews

Read all Introduction to Partial Differential Equations Reviews on Amazon or Goodreads

PDF eBook Free Download

Introduction to Partial Differential Equations PDF FREE DOWNLOAD in 14 Friendly File Hosts: FireDrive, ZippyShare, SockShare, ShareBeast, BayFiles, Crocko, MixtureCloud, Depositfiles, UptoBox, Uploaded, BitShare, RapidGator, TurboBit. Report Dead Links & Get a Copy

Enjoyed this Book? Please support the author, Don't Download It, buy this book from amazon. - Read eBooks using the FREE Kindle Reading App on Most Devices

File HosteBook Free Download LinkFormatSize (MB)ThanksUpload Date
EU(multi)Click to downloadPDF7.5foxebook01/02/2014
ZippyShareClick to downloadPDF7.5foxebook09/16/2014

None of the files shown here are hosted or transmitted by this server. The links are provided solely by this site’s users. You may not use this site to distribute or download any material when you do not have the legal rights to do so. It is your own responsibility to adhere to these terms. Found illegal content? Let us know! REPORT ABUSE

Leave a Reply

Your email address will not be published. Required fields are marked *

You may use these HTML tags and attributes: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <strike> <strong>