Asymptotic Analysis and Perturbation Theory

William Paulsen (Autor)

Buch | Hardcover

550 Seiten

2013
Crc Press Inc (Verlag)
978-1-4665-1511-6 (ISBN)

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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 of differential equations. It explains the exact solution of only the simplest differential equations, such as first-order linear and separable equations.

With varying levels of problems in each section, this self-contained text makes the difficult subject of asymptotics easy to comprehend. Along the way, it explores the properties of some important functions in applied mathematics. Although the book emphasizes problem solving, some proofs are scattered throughout to give readers a justification for the methods used.

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.

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.

Zusatzinfo	18 Tables, black and white; 104 Illustrations, black and white
Verlagsort	Bosa Roca
Sprache	englisch
Maße	156 x 234 mm
Gewicht	1080 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie
	Technik ► Umwelttechnik / Biotechnologie
ISBN-10	1-4665-1511-2 / 1466515112
ISBN-13	978-1-4665-1511-6 / 9781466515116
Zustand	Neuware