Compressed Chebyshev Polynomials and Multiple-Angle Formulas - Softcover

Kéri, Gerzson

 
9786200624987: Compressed Chebyshev Polynomials and Multiple-Angle Formulas
Softcover
ISBN 10: 6200624984 ISBN 13: 9786200624987
Verlag: GlobeEdit, 2021

Inhaltsangabe

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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Über die Autorin bzw. den Autor

The author is a mathematician, doctor of the Hungarian Academy of Sciences, former associate professor at the Miskolc University and senior scientific researcher at the Institute for Computer Science and Control. He continued scientific activity after retirement. His publications touches several fields of mathematics.

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Verlag
GlobeEdit
Erscheinungsdatum
2021
Sprache
Englisch
ISBN 10 
6200624984
ISBN 13 
9786200624987
Einband
Taschenbuch
Anzahl der Seiten
52
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
preigu
mail@preigu.de

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