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Special Integrals of Gradshteyn and Ryzhik : the Proofs - Volume II.
・ISBN 978-1-4822-5653-6 hard GB£ 210.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-429-18988-3
| 著者・編者 | Moll, Victor H., |
|---|---|
| 出版社 | (Chapman & Hall/CRC, US) |
| 出版年月 | 2015 |
| ページ数 | 263 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10164 M25-1919＞ |
解説
A Guide to the Evaluation of Integrals
Special Integrals of Gradshetyn and Ryzhik: the Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments possible and uses Mathematica (R) to verify the formulas. You will discover the beauty, patterns, and unexpected connections behind the formulas.
Volume II collects 14 papers from Revista Scientia covering elliptic integrals, the Riemann zeta function, the error function, hypergeometric and hyperbolic functions, Bessel-K functions, logarithms and rational functions, polylogarithm functions, the exponential integral, and Whittaker functions. Many entries have a variety of proofs that can be evaluated using a symbolic language or point to the development of a new algorithm.