eBook - ePub

Partial Differential Equations

Name: Partial Differential Equations
ISBN: 9781000636857

Topics in Fourier Analysis

M. W. Wong,

208 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Partial Differential Equations

Topics in Fourier Analysis

M. W. Wong,

About this book

Partial Differential Equations: Topics in Fourier Analysis, Second Edition explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows how this powerful approach is valuable in getting plausible answers that can then be justified by modern analysis.

Using Fourier analysis, the text constructs explicit formulas for solving PDEs governed by canonical operators related to the Laplacian on the Euclidean space. After presenting background material, it focuses on: Second-order equations governed by the Laplacian on Rn; the Hermite operator and corresponding equation; and the sub-Laplacian on the Heisenberg group

Designed for a one-semester course, this text provides a bridge between the standard PDE course for undergraduate students in science and engineering and the PDE course for graduate students in mathematics who are pursuing a research career in analysis. Through its coverage of fundamental examples of PDEs, the book prepares students for studying more advanced topics such as pseudo-differential operators. It also helps them appreciate PDEs as beautiful structures in analysis, rather than a bunch of isolated ad-hoc techniques.

New to the Second Edition

Three brand new chapters covering several topics in analysis not explored in the first edition
Complete revision of the text to correct errors, remove redundancies, and update outdated material
Expanded references and bibliography
New and revised exercises.

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Yes, you can access Partial Differential Equations by M. W. Wong in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.