Chiang C. Mei

Mathematical Analysis in Engineering

How to Use the Basic Tools

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 480
• Erscheinungstermin: 1. Januar 1997
• Englisch
• Abmessung: 229mm x 152mm x 26mm
• Gewicht: 689g
• ISBN-13: 9780521587983
• ISBN-10: 0521587980
• Artikelnr.: 21132924

Inhaltsangabe

Preface
Achnowledgments
1. Formulation of physical problems
2. Classification of equations
3. One-dimensional waves
4. Finite domains and separation of variables
5. Elements of Fourier series
6. Introduction to Green's functions
7. Unbounded domains and Fourier transforms
8. Bessel functions and circular domains
9. Complex variables
10. Laplace transform and initial value problems
11. Conformal mapping and hydrodynamics
12. Riemann-Hilbert problems in hydrodynamics and elasticity
13. Perturbation methods - the art of approximation
14. Computer algebra for perturbation analysis
Appendices
Bibliography
Index.