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Generalized Trigonometric and Hyperbolic Functions.
・ISBN 978-1-138-33301-7 hard GB£ 187.99
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-429-44623-8
| 著者・編者 | Mickens, Ronald E., |
|---|---|
| 出版社 | (CRC Press, UK) |
| 出版年月 | 2019 |
| ページ数 | 194 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-1135＞ |
解説
Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions. Previous efforts have started with integral representations for the inverse generalized sine functions, followed by the construction of the associated cosine functions, and from this, various properties of the generalized trigonometric functions are derived. However, the results contained in this book are based on the application of both geometrical phase space and dynamical systems methodologies.
Features
- Clear, direct construction of a new set of generalized trigonometric and hyperbolic functions
- Presentation of why x2+y2 = 1, and related expressions, may be interpreted in three distinct ways
- All the constructions, proofs, and derivations can be readily followed and understood by students, researchers, and professionals in the natural and mathematical sciences