Mathematical Analysis in Engineering: How to Use the Basic Tools - Brossura

Mei, Chiang C.

Brossura

ISBN 10: 0521587980 ISBN 13: 9780521587983

Casa editrice: Cambridge University Press, 1997

Riassunto

This user-friendly 1995 text shows how to use mathematics to formulate, solve and analyse physical problems. Rather than follow the traditional approach of stating mathematical principles and then citing some physical examples for illustration, the book puts applications at centre stage; that is, it starts with the problem, finds the mathematics that suits it and ends with a mathematical analysis of the physics. Physical examples are selected primarily from applied mechanics. Among topics included are Fourier series, separation of variables, Bessel functions, Fourier and Laplace transforms, Green's functions and complex function theories. Also covered are advanced topics such as Riemann–Hilbert techniques, perturbation methods, and practical topics such as symbolic computation. Engineering students, who often feel more awe than confidence and enthusiasm toward applied mathematics, will find this approach to mathematics goes a long way toward a sharper understanding of the physical world.

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Recensione

'The strength of the book lies in its wealth of applications. All too often books on this topic focus on mathematical techniques while paying only a lip service to applications. Professor Mei set out to give engineering applications a larger 'share of the spotlight'. Numerous examples are worked in the text, and additional applications can be found in the exercises. The problems are drawn from mechanics; they include problems such as vibrating strings, the bending of beams, problems in diffusion, and heat conduction. The author has also included many problems from the geosciences.' Jurgen Gerlach, SIAM Review

'All-in-all, this is an excellent book with a readable style. The mathematical analysis is clear ... The examples and illustrations are well-chosen and as simple as can be without being trivial. They are also practical and very diverse.' J. A. Hudson, Journal of Fluid Mechanics

Descrizione del libro

This user-friendly 1995 text on applied mathematics is for beginning graduate students in engineering. Rather than follow the traditional approach of stating mathematical principles and then citing physical examples, the book puts applications at centre stage; that is, it starts with the problem, finds the mathematics that suits it and ends with a mathematical analysis of the physics.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1997
• ISBN 10: 0521587980
• ISBN 13: 9780521587983
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 480