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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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Compressed Chebyshev Polynomials and Multiple-Angle Formulas
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PF. Condizione: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 6-7 days from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice articolo 6666-IUK-9786200624987
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Compressed Chebyshev Polynomials and Multiple-Angle Formulas
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Compressed Chebyshev Polynomials and Multiple-Angle Formulas
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Compressed Chebyshev Polynomials and Multiple-Angle Formulas
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Taschenbuch. Condizione: 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. Codice articolo 9786200624987
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Compressed Chebyshev Polynomials and Multiple-Angle Formulas
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Compressed Chebyshev Polynomials and Multiple-Angle Formulas
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Compressed Chebyshev Polynomials and Multiple-Angle Formulas
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Compressed Chebyshev Polynomials and Multiple-Angle Formulas
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Taschenbuch. Condizione: 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 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. Codice articolo 9786200624987
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Compressed Chebyshev Polynomials and Multiple-Angle Formulas
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Compressed Chebyshev Polynomials and Multiple-Angle Formulas
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Taschenbuch. Condizione: 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 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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 52 pp. Englisch. Codice articolo 9786200624987
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