Richard Evan Schwartz The Projective Heat Map 9781470435141

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Автор: Richard Evan Schwartz
Название: The Projective Heat Map
ISBN: 9781470435141
Издательство: Mare Nostrum (Eurospan)
Классификация:

Основы высшей математики и математический анализ

ISBN-10: 1470435144
Обложка/Формат: Hardback
Страницы: 196
Вес: 0.54 кг.
Дата издания: 30.06.2017
Серия: Mathematical surveys and monographs
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis
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Поставляется из: Англии
Описание: This book introduces a simple dynamical model for a planar heat map that is invariant under projective transformations. The map is defined by iterating a polygon map, where one starts with a finite planar $N$-gon and produces a new $N$-gon by a prescribed geometric construction. One of the appeals of the topic of this book is the simplicity of the construction that yet leads to deep and far reaching mathematics. To construct the projective heat map, the author modifies the classical affine invariant midpoint map, which takes a polygon to a new polygon whose vertices are the midpoints of the original.The author provides useful background which makes this book accessible to a beginning graduate student or advanced undergraduate as well as researchers approaching this subject from other fields of specialty. The book includes many illustrations, and there is also a companion computer program.
Дополнительное описание: Calculus and mathematical analysis

The Projective Heat Map, Richard Evan Schwartz