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Mathematical Analysis in Engineering

Mathematical Analysis in Engineering
How to Use the Basic Tools

$107.00 (P)

  • Date Published: January 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521587983

$ 107.00 (P)
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About the Authors
  • 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.

    • Emphasises real world engineering applications
    • Author is a well known and respected teacher and researcher
    • Numerous problems are included with each chapter
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    Reviews & endorsements

    "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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    Product details

    • Date Published: January 1997
    • format: Paperback
    • isbn: 9780521587983
    • length: 480 pages
    • dimensions: 229 x 152 x 25 mm
    • weight: 0.64kg
    • contains: 118 b/w illus.
    • availability: Available
  • Table of Contents

    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.

  • Author

    Chiang C. Mei, Massachusetts Institute of Technology

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