Partial Differential Equations: Theory and Completely Solved Problems - Hardcover

Hillen, Thomas; Leonard, I. E.; Van Roessel, Henry

Hardcover

ISBN 10: 1118063309 ISBN 13: 9781118063309

Publisher: Wiley, 2012

Synopsis

Uniquely provides fully solved problems for linear partialdifferential equations and boundary value problems

Partial Differential Equations: Theory and Completely SolvedProblems utilizes real-world physical models alongsideessential theoretical concepts. With extensive examples, the bookguides readers through the use of Partial Differential Equations(PDEs) for successfully solving and modeling phenomena inengineering, biology, and the applied sciences.

The book focuses exclusively on linear PDEs and how they can besolved using the separation of variables technique. The authorsbegin by describing functions and their partial derivatives whilealso defining the concepts of elliptic, parabolic, and hyperbolicPDEs. Following an introduction to basic theory, subsequentchapters explore key topics including:

· Classification of second-order linear PDEs

· Derivation of heat, wave, and Laplace’sequations

· 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 ofthe presented material through numerous problems, ranked by theirlevel of complexity, and a related website features supplementaldata and resources.

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

About this title

About the Author:

T. HILLEN, PhD, is Professor and Associate Chair(Graduate Program) in the Department of Mathematical andStatistical Sciences at the University of Alberta, Canada. Dr.Hillen is a world-leading expert in PDEs applied to mathematicalbiology and has also published extensively in the area of generalapplied mathematics.

I. E. LEONARD, PhD, is Lecturer in the Department ofMathematical and Statistical Sciences at the University of Alberta,Canada. Dr. Leonard works in the areas of real analysis anddiscrete mathematics.

H. VAN ROESSEL, PhD, is Associate Professor in theDepartment of Mathematical and Statistical Sciences at theUniversity of Alberta, Canada. Dr. Van Roessel works on theapplication of PDEs to coagulation-fragmentation problems andrelated mathematical models.

Review:

“The book gives a vivid description of the theory forsolving linear PDEs. The excellent method, the expensive use ofexamples, and the overview of the existing solutions make the bookvery useful for students and for researchers. It is highlyrecommended.”  (Zamm, 1 November 2014)

“Summing Up: Recommended. Upper-division undergraduates,graduate students, and faculty.”  (Choice, 1August 2013)

About this edition

• Publisher: Wiley
• Publication date: 2012
• ISBN 10: 1118063309
• ISBN 13: 9781118063309
• Binding: Hardcover
• Edition number: 1
• Number of pages: 696