Поиск по каталогу |
(строгое соответствие)
|
- Профессиональная
- Научно-популярная
- Художественная
- Публицистика
- Детская
- Искусство
- Хобби, семья, дом
- Спорт
- Путеводители
- Блокноты, тетради, открытки
Compressed Chebyshev Polynomials and Multiple-Angle Formulas.
В наличии
Местонахождение: Алматы | Состояние экземпляра: новый |
Бумажная
версия
версия
Автор: Gerzson Kéri
ISBN: 9786200624987
Год издания: 1905
Формат книги: 60×90/16 (145×215 мм)
Количество страниц: 52
Издательство: GlobeEdit
Цена: 17601 тг
Положить в корзину
Способы доставки в город Алматы * комплектация (срок до отгрузки) не более 2 рабочих дней |
Самовывоз из города Алматы (пункты самовывоза партнёра CDEK) |
Курьерская доставка CDEK из города Москва |
Доставка Почтой России из города Москва |
Аннотация: 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.
Ключевые слова: Chebyshev polynomial, cubic equation, trigonometric identities, factorization of polynomials
Похожие издания
Отрасли знаний: Точные науки -> Математика Gerzson Kéri Compressed Chebyshev Polynomials and Multiple-Angle Formulas II.. 1905 г., 68 стр., мягкий переплет 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 listings than the ones given before, and additional figures. In this second part the factorization of the compressed... | 17201 тг |