Mathematical Analysis in Engineering: How to Use the Basic Tools

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9780521587983: Mathematical Analysis in Engineering: How to Use the Basic Tools

Rather than follow the traditional approach of stating mathematical principles and then citing some physical examples for illustration, Professor Mei puts applications at center stage. Beginning with the problem, he finds the mathematics that suits it and closes with a mathematical analysis of the physics. He selects physical examples 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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Book Description:

This user-friendly text shows how to use mathematics to formulate, solve, and analyze physical problems. Rather than follow the traditional approach of stating mathematical principles and then citing physical examples for illustration, the book puts applications at center 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, and they range from the simple to the more sophisticated.Engineering students, who often feel more awe than confidence and enthusiasm toward applied mathematics, will appreciate and learn from this approach.

Review:

"In the crowded field of books on engineering applications, this one distinguishes itself by a fair number of nonstandard applications in fluid and solid mechanics." R. Solecki, Choice

"The main feature of this text which distinguishes it from the many texts on engineering mathematics is the wealth of worked examples...Some of the illustrated examples are quite challenging and others are drawn from application areas not commonly featured in texts books at this level. The text is clearly laid out and very readable. It is highly recommended." Journal of Fluid Mechanics

"...the illustrative examples are quite challenging and others are drawn from application areas not commonly featured in text books at this level. The text is clearly laid out and very readable. It is highly recommended." Journal of Fluid Mechanics

"...explains how to use mathematics to formulate, solve, and analyze physical problems...The emphasis throughout is on engineering applications rather than mathematical formalities." Mechanical Engineering

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1997. Paperback. Book Condition: New. Revised ed.. Language: English . Brand New Book ***** Print on Demand *****.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. Bookseller Inventory # AAV9780521587983

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