Kniha Advanced Mathematical Methods for Scientists and Engineers I C. M. Bender

Advanced Mathematical Methods for Scientists and Engineers I

Asymptotic Methods and Perturbation Theory

Jazyk: Angličtina
Väzba: Pevná
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
88.02
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation th...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
1999
Stránok
593
EAN
9780387989310
ISBN
0387989315
Enbook ID
01385696
Hmotnosť
1054
Rozmery
243 x 165 x 37

Kompletný popis

A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 comput er-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

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