Compressed Chebyshev Polynomials and Multiple-Angle Formulas
Language: English
Published by GlobeEdit, 2021
- Softcover
- New

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Softcover
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- Title
- Compressed Chebyshev Polynomials and Multiple-Angle Formulas
- Author
- Kéri, Gerzson
- Publisher
- GlobeEdit
- Publication year
- 2021
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 6200624984
- ISBN 13
- 9786200624987
This small book combines two themes. It starts with a survey on the mathematical solution methods for the cubic equation, where the solution with the Cardano’s formula as well as the trigonometric and hyperbolic solution methods are explained and discussed for both the general and the canonical form of the cubic equation. The main theme is, however, the paradigm of multiple-angle formulas that can be expressed with the Chebyshev polynomials. By the compression of the Chebyshev polynomials, the multiple-angle formulas and later the factorization formulas become more elegant. The multiple-angle formulas form a bridge between the two themes, whereas the easy triple-angle cases of some of these formulas, namely the formulas for cos(3t), cosh(3t) and sinh(3t), are applied during the trigonometric and hyperbolic solution. From this fact springs the idea of considering and solving similar equations where the triple angles are extended to arbitrary multiple angles. In connection with an asymptotic analysis, a conjecture and another open problem are proposed to solve. Next we turn from continuous to discrete mathematics, namely divisibility rules and factorization.
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Ria Christie Collections
Uxbridge, United Kingdom
5-star seller
AbeBooks seller since March 25, 2015
Shipping rates from United Kingdom to U.S.A.
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