Adrianov, Nikolai M. Pakovich, Fedor Zvonkin, Alexander K. Davenport-zannier polynomials and dessins d`enfants 9781470456344

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Автор: Adrianov, Nikolai M. Pakovich, Fedor Zvonkin, Alexander K.
Название: Davenport-zannier polynomials and dessins d`enfants
ISBN: 9781470456344
Издательство: Mare Nostrum (Eurospan)
Классификация:

Дискретная математика

Теория чисел

Комбинаторика и теория графов

ISBN-10: 1470456346
Обложка/Формат: Paperback
Страницы: 187
Вес: 0.37 кг.
Дата издания: 30.09.2020
Серия: Mathematical surveys and monographs
Язык: English
Размер: 179 x 254 x 13
Ключевые слова: Combinatorics & graph theory,Discrete mathematics,Number theory
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Поставляется из: Англии
Описание: The French expression dessins denfants means childrens drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics.The major part of the book is quite elementary and is easily accessible to an undergraduate student. The less elementary parts, such as Galois theory or group representations and their characters, would need a more profound knowledge of mathematics. The reader may either take the basic facts of these theories for granted or use our book as a motivation and a first approach to these subjects.
Дополнительное описание: Discrete mathematics|Combinatorics and graph theory|Number theory

Davenport-zannier polynomials and dessins d`enfants, Adrianov, Nikolai M. Pakovich, Fedor Zvonkin, Alexander K.