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Advanced Mathematical Methods for Scientists and Engineers I
Af: Carl M. Bender, Steven A. Orszag Engelsk Hardback
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kr 254
Advanced Mathematical Methods for Scientists and Engineers I
Af: Carl M. Bender, Steven A. Orszag Engelsk Hardback
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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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.
Produktdetaljer
Sprog: Engelsk
Sider: 593
ISBN-13: 9780387989310
Indbinding: Hardback
Udgave:
ISBN-10: 0387989315
Udg. Dato: 29 okt 1999
Længde: 37mm
Bredde: 165mm
Højde: 243mm
Oplagsdato: 29 okt 1999
Forfatter(e) Carl M. Bender, Steven A. Orszag


Kategori Matematik for forskere


Sprog Engelsk


Indbinding Hardback


Sider 593


Udgave


Længde 37mm


Bredde 165mm


Højde 243mm

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