William Paulsen

Asymptotic Analysis and Perturbation Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

This self-contained text makes the difficult subject of asymptotics easy to comprehend. It immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Along the way, the book explores the properties of some important functions in applied mathematics. Assuming no prior knowledge of differential equations, it explains the exact solution of only the simplest differential equations, such as first-order linear and separable equations.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 550
• Erscheinungstermin: 18. Juli 2013
• Englisch
• ISBN-13: 9781466515123
• Artikelnr.: 40066393

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.