Special functions of mathematics for engineers
著者
書誌事項
Special functions of mathematics for engineers
Oxford University Press , SPIE Optical Engineering Press, 1998
2nd ed
- : OPU
- : SPIE
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注記
Originally published: 2nd ed. New York : McGraw-Hill, c1992
Bibliography: p. 451
Includes index
内容説明・目次
- 巻冊次
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: OPU ISBN 9780198565581
内容説明
Special functions are essential for solving problems in virtually all engineering disciplines. Assuming only knowledge of elementary calculus and differential equations, this concise, clearly written reference illustrates the properties and applications of the special functions most frequently needed by practising engineers. Copious illustrations of worked out sample problems from a wide range of real-world engineering applications distinguish this work from others.
目次
- 1. Infinite series, Improper integrals, and Infinite products
- 2. The gamma function and related functions
- 3. Other functions defined by integrals
- 4. Legendre polynomials and related functions
- 5. Other orthogonal polynomials
- 6. Bessel functions
- 7. Bessel functions of other kinds
- 8. Applications involving Bessel functions
- 9. The hypergeometric function
- 10. The confluent hypergeometric function
- 11. Generalized hypergeometric function
- Bibliography
- List of special Function formulae
- Selected answers to exercises
- Index
- 巻冊次
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: SPIE ISBN 9780819426161
内容説明
This book systematically introduces important special functions and explores their salient properties. Suitable as a classroom textbook in courses dealing with higher mathematical functions or as a reference text for practicing engineers and scientists.
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