Author: Peter J. Olver

Publisher: Springer Science & Business Media

ISBN: 9783319020990

Release Date: 2013-11-08

Genre: Mathematics

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.
## Applied Partial Differential Equations

## Applications of Lie Groups to Differential Equations

## Introduction to Partial Differential Equations with Applications

## Introduction to Partial Differential Equations

## Partial Differential Equations and Boundary value Problems with Applications

## An Introduction to Nonlinear Partial Differential Equations

Author: J. David Logan

Publisher: John Wiley & Sons

ISBN: 9780470225950

Release Date: 2008-04-11

Genre: Mathematics

An Introduction to Nonlinear Partial Differential Equations is a textbook on nonlinear partial differential equations. It is technique oriented with an emphasis on applications and is designed to build a foundation for studying advanced treatises in the field. The Second Edition features an updated bibliography as well as an increase in the number of exercises. All software references have been updated with the latest version of [email protected], the corresponding graphics have also been updated using [email protected] An increased focus on hydrogeology...
Publisher: John Wiley & Sons

ISBN: 9780470225950

Release Date: 2008-04-11

Genre: Mathematics