Introduction to Partial Differential Equations Peter J Olver 3319020994 9783319020990

Introduction to Partial Differential Equations Peter J. Olver – Ebook Instant Download/Delivery ISBN(s): 3319020994, 9783319020990

Product details:

• ISBN 10: 3319020994
• ISBN 13: 9783319020990
• Author: Peter

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.

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 Framework for Linear Partial Differential Equations

Chapter 10 Finite Elements and Weak Solutions

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