Asymptotic Analysis and Perturbation Theory

by William Paulsen

Overview

Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Suitable for those who have completed the standard calculus sequence, the book assumes no prior knowledge o

Product Details

ISBN-13:	9781040220009
Publisher:	CRC Press
Publication date:	07/18/2013
Sold by:	Barnes & Noble
Format:	eBook
Pages:	550
File size:	14 MB
Note:	This product may take a few minutes to download.

About the Author

William Paulsen is a professor of mathematics at Arkansas State University, where he teaches asymptotics to undergraduate and graduate students. He is the author of Abstract Algebra: An Interactive Approach (CRC Press, 2009) and has published over 15 papers in applied mathematics, one of which proves that Penrose tiles can be three-colored, thus resolving a 30-year-old open problem posed by John H. Conway. Dr. Paulsen has also programmed several new games and puzzles in Javascript and C++, including Duelling Dimensions, which was syndicated through Knight Features. He received a Ph.D. in mathematics from Washington University in St. Louis.

Table of Contents

Introduction to Asymptotics. Asymptotics of Integrals. Speeding Up Convergence. Differential Equations. Asymptotic Series Solutions for Differential Equations. Difference Equations. Perturbation Theory. WKBJ Theory. Multiple-Scale Analysis. Appendix. Answers to Odd-Numbered Problems. Bibliography. Index.