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Hillen, Thomas

Partial Differential Equations: Theory and Completely Solved Problems

Hillen, Thomas - Partial Differential Equations: Theory and Completely Solved Problems, ebook

134,65€

Ebook, ePUB with Adobe DRM
ISBN: 9781118438435
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Printing209 pages with an additional page accrued every 4 hours, capped at 209 pages
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Uniquely provides fully solved problems for linear partial differential equations and boundary value problems

Partial Differential Equations: Theory and Completely Solved Problems utilizes real-world physical models alongside essential theoretical concepts. With extensive examples, the book guides readers through the use of Partial Differential Equations (PDEs) for successfully solving and modeling phenomena in engineering, biology, and the applied sciences.

The book focuses exclusively on linear PDEs and how they can be solved using the separation of variables technique. The authors begin by describing functions and their partial derivatives while also defining the concepts of elliptic, parabolic, and hyperbolic PDEs. Following an introduction to basic theory, subsequent chapters explore key topics including:

• Classification of second-order linear PDEs

• Derivation of heat, wave, and Laplace’s equations

• Fourier series

• Separation of variables

• Sturm-Liouville theory

• Fourier transforms

Each chapter concludes with summaries that outline key concepts. Readers are provided the opportunity to test their comprehension of the presented material through numerous problems, ranked by their level of complexity, and a related website features supplemental data and resources.

Extensively class-tested to ensure an accessible presentation, Partial Differential Equations is an excellent book for engineering, mathematics, and applied science courses on the topic at the upper-undergraduate and graduate levels.

Keywords: Differential Equations, Partial Differential Equations, PDEs, mathematics, statistics, heat equation, wave equation, Laplace's equation, separation of variables, Fourier series, classical PDEs, Sturm-Liouville problems, transform methods, engineering, science

Author(s)
 
 
Publisher
John Wiley and Sons, Inc.
Publication year
2012
Language
en
Edition
1
Page amount
696 pages
Category
Technology, Energy, Traffic
Format
Ebook
eISBN (ePUB)
9781118438435
Printed ISBN
9781118063309

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