Description
This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs. * Provides an accessible yet rigorous introduction to partial differential equations* Draws connections to advanced topics in analysis* Covers applications to continuum mechanics* An electronic solutions manual is available only to professors* An online illustration package is available to professors
About the Author
Michael Shearer is professor of mathematics at North Carolina State University. He is a fellow of the American Mathematical Society. Rachel Levy is associate professor of mathematics at Harvey Mudd College. She is a recipient of the 2013 Henry L. Alder Award for Distinguished Teaching by a Beginning College or University Mathematics Faculty Member and creator of the Grandma Got STEM project.
Reviews
"This book is unique in that it provides a very comprehensive introduction to the theory of PDEs embedded in specific relevant applications in the field."--Choice "The authors provide not only a clear and rigorous explanation of the more elementary theoretical aspects of partial differential equations, but they are also concerned with tools of applied mathematics in the setting of partial differential equations... This reviewer warmly recommends this volume to mathematical university libraries."--Vicentiu D. Radulescu, Zentralblatt MATH
Book Information
ISBN 9780691161297
Author Michael Shearer
Format Hardback
Page Count 288
Imprint Princeton University Press
Publisher Princeton University Press
Weight(grams) 709g
About the Author
Michael Shearer is professor of mathematics at North Carolina State University. He is a fellow of the American Mathematical Society. Rachel Levy is associate professor of mathematics at Harvey Mudd College. She is a recipient of the 2013 Henry L. Alder Award for Distinguished Teaching by a Beginning College or University Mathematics Faculty Member and creator of the Grandma Got STEM project.
Reviews
"This book is unique in that it provides a very comprehensive introduction to the theory of PDEs embedded in specific relevant applications in the field."--Choice "The authors provide not only a clear and rigorous explanation of the more elementary theoretical aspects of partial differential equations, but they are also concerned with tools of applied mathematics in the setting of partial differential equations... This reviewer warmly recommends this volume to mathematical university libraries."--Vicentiu D. Radulescu, Zentralblatt MATH
Book Information
ISBN 9780691161297
Author Michael Shearer
Format Hardback
Page Count 288
Imprint Princeton University Press
Publisher Princeton University Press
Weight(grams) 709g
