Applied Complex Analysis with Partial Differential Equations, Hardcover, 1st Edition by Asmar, Nakhle H. (Used)

Hardcover: 1st Edition
Used: Very Good
9780130892393
0130892394

Publication Date: 2002-04-01
Publisher: Prentice Hall
Hardcover : 883 pages
Edition: 1st Edition
Author: Asmar, Nakhle H.
ISBN-10: 0130892394
ISBN-13: 9780130892393

Product Description This reader-friendly book presents traditional material using a modern approach that invites the use of technology. Abundant exercises, examples, and graphics make it a comprehensive and visually appealing resource. Chapter topics include complex numbers and functions, analytic functions, complex integration, complex series, residues: applications and theory, conformal mapping, partial differential equations: methods and applications, transform methods, and partial differential equations in polar and spherical coordinates. For engineers and physicists in need of a quick reference tool. From the Back Cover This reader-friendly book presents traditional material using a modern approach that invites the use of technology. Abundant exercises, examples, and graphics make it a comprehensive and visually appealing resource. Chapter topics include complex numbers and functions, analytic functions, complex integration, complex series, residues: applications and theory, conformal mapping, partial differential equations: methods and applications, transform methods, and partial differential equations in polar and spherical coordinates. For engineers and physicists in need of a quick reference tool. About the Author Nakhlé H. Asmar received his Ph.D in mathematics from the University of Washington in 1986. After spending two years on the faculty of California State University, Long Beach, he joined the University of Missouri, Columbia in 1988, where he is currently Professor of Mathematics. He is the author of the book "Partial Differential Equations and Boundary Value Problems," published by Prentice Hall in 1999. He is also the author or co-author of over forty research articles in the areas of harmonic analysis, Fourier series, and functional analysis. His research received support from the National Science Foundation (U.S.A.). He has received several teaching awards from the University of Missouri, including the William T. Kemper Fellowship Award, the Arts and Science Student Government Purple Chalk Award, and the Provost's Outstanding Junior Faculty Teaching Award. He is a member of the Research Board of the University of Missouri and a member of the College of Reviewers for the Canada Research Chairs program. The author can be contacted by e-mail at the following address: nakhle@math.missouri.edu Excerpt. © Reprinted by permission. All rights reserved. This book is intended to serve as a textbook for the following courses. Chapters 1-6 are intended for a one-term introductory course on the theory and applications of complex functions. Chapters 7-12 are intended for a one-term introductory course op partial differential equations and boundary value problems, that incorporates basic tools from complex variables such as contour integrals, residues, and Laurent series. Topics from Chapters 1-12 can be chosen to form a one-term introductory course on complex variables with applications to partial differential equations and boundary value problems. The Book's Content and Organization This book differs in many ways from other traditional textbooks on complex variables and differs differential equations. In outlining its contents, I will present some of these differences in four components of the book: The examples and exercises, the applications, the graphics, and the proofs. The Proofs In writing this book, my goal was to reach out to all students with varying abilities to do mathematical proofs. For that reason, I have included complete proofs of most results so as to give the instructor the flexibility to choose the proofs that he or she wants to present to the class, while skipping others and referring the students to the book. While recognizing the importance of training students in proof writing, I have tried not to let this learning process hinder their ability to see and appreciate the applications behind the theory. In this book, all the proofs are written in a style that is very flexibl