Introduction to Partial Differential Equations

by Peter Olver

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 projects 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 theory 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, Fourier analysis, 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 solutions, Huygens' Principle, quantum mechanical systems, 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.

Genres: Mathematics, Textbooks

661 pages, Hardcover

First published November 29, 2013

Reviews

[EJ Jackson · Rating 4 out of 5]

I like this book, mainly because of the enlightening discussions of concepts and thoroughness. I have used other PDE textbooks that hardly bothered to explain heuristics. This one does pretty well. It would also make a good weapon. Thang is thiccccc

[Jack Lentz-Hoops · Rating 1 out of 5]

Strauss' book is much better.

[Jesús Rubio · Rating 5 out of 5]

Don't listen to the guys that says 'Strauss book is better' xD....

[peter whang · Rating 5 out of 5]

It is a good book having grade a math taste.

[Walid Kasab]

I want my math maturity back

[Regis Lucci · Rating 5 out of 5]

RESUMO NO DRIVE