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Advanced Mathematical Methods for Scientists…
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Advanced Mathematical Methods for Scientists and Engineers (International… (edició 1978)

de Carl M. Bender, Steven A. Orszag

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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 computer-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.… (més)
Membre:Stanislav
Títol:Advanced Mathematical Methods for Scientists and Engineers (International Series in Pure and Applied Mathematics)
Autors:Carl M. Bender
Altres autors:Steven A. Orszag
Informació:Mcgraw-Hill College (1978), Hardcover, 576 pages
Col·leccions:La teva biblioteca
Valoració:
Etiquetes:DJVU

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Advanced Mathematical Methods for Scientists and Engineers de Carl M. Bender

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Originally published in 1978, Advanced Mathematical Methods for Scientists and Engineers was reprinted in 1999 with the title: Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory. Cited thousands of times in the scholarly literature, this is a seminal work in Engineering Mathematics.

Part of a LibraryThing collection of Classic Engineering Books: http://dld.bz/ClassicEngineering ( )
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Orszag, Steven A.Autorautor principaltotes les edicionsconfirmat
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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 computer-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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