Compressed Chebyshev Polynomials Multiple Angle by Kéri Gerzson (20 results)
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Taschenbuch. Condition: Neu. Compressed Chebyshev Polynomials and Multiple-Angle Formulas II | Gerzson Kéri | Taschenbuch | Englisch | 2022 | GlobeEdit | EAN 9786200630469 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.
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Taschenbuch. Condition: Neu. Compressed Chebyshev Polynomials and Multiple-Angle Formulas | Gerzson Kéri | Taschenbuch | Englisch | 2021 | GlobeEdit | EAN 9786200624987 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The material of this publication can be regarded as the continuation of the author's previous publication (ISBN: 978-620-0-62498-7) with the same title. It can also be regarded as a supplement, containing additional tables, longer l…istings than the ones given before, and additional figures. In this second part the factorization of the compressed Chebyshev polynomials via cyclotomic pre-polynomials are mainly emphasized. It is shown that the factorization of the compressed Chebyshev polynomials of all kinds and the factorization of certain very simple polynomials are fully synchron with each other in the meaning that all factors of the formers are cyclotomic pre-polynomials, while the factors of the latters are the corresponding cyclotomic polynomials. Some of the tables summarize the most important general properties and identities (among them the factorizational formulas) with the four kinds of Chebyshev polynomials and their modified variants. These tables apply to arbitrary positive integer n in general. Another set of tables are listings for the values of n between 1 and 20. A long table contains the parallel listing of cyclotomic pre-polynomials and cyclotomic polynomials. 68 pp. Englisch.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 52 pp. Englisch.
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The material of this publication can be regarded as the continuation of the author's previous publication (ISBN: 978-620-0-62498-7) with the same title. It can also be regarded as a supplement, containing additional tables, longer listi…ngs than the ones given before, and additional figures. In this second part the factorization of the compressed Chebyshev polynomials via cyclotomic pre-polynomials are mainly emphasized. It is shown that the factorization of the compressed Chebyshev polynomials of all kinds and the factorization of certain very simple polynomials are fully synchron with each other in the meaning that all factors of the formers are cyclotomic pre-polynomials, while the factors of the latters are the corresponding cyclotomic polynomials. Some of the tables summarize the most important general properties and identities (among them the factorizational formulas) with the four kinds of Chebyshev polynomials and their modified variants. These tables apply to arbitrary positive integer n in general. Another set of tables are listings for the values of n between 1 and 20. A long table contains the parallel listing of cyclotomic pre-polynomials and cyclotomic polynomials.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 68 pp. Englisch.
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 exp…lained 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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 52 pp. Englisch.
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The material of this publication can be regarded as the continuation of the author's previous publication (ISBN: 978-620-0-62498-7) with the same title. It can also be regarded as a supplement, containing additional tables, longer listin…gs than the ones given before, and additional figures. In this second part the factorization of the compressed Chebyshev polynomials via cyclotomic pre-polynomials are mainly emphasized. It is shown that the factorization of the compressed Chebyshev polynomials of all kinds and the factorization of certain very simple polynomials are fully synchron with each other in the meaning that all factors of the formers are cyclotomic pre-polynomials, while the factors of the latters are the corresponding cyclotomic polynomials. Some of the tables summarize the most important general properties and identities (among them the factorizational formulas) with the four kinds of Chebyshev polynomials and their modified variants. These tables apply to arbitrary positive integer n in general. Another set of tables are listings for the values of n between 1 and 20. A long table contains the parallel listing of cyclotomic pre-polynomials and cyclotomic polynomials.
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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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 expl…ained 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.
