William Paulsen

Asymptotic Analysis and Perturbation Theory (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Erscheinungstermin: 18. Juli 2013
• Englisch
• ISBN-13: 9781040220009
• Artikelnr.: 73255898

Autorenporträt

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.

Inhaltsangabe

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.