Ronen Peretz Krzyz Conjecture: Theory And Methods, The - A Research Diary Of A Mathematician 9789811226373

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Автор: Ronen Peretz
Название: Krzyz Conjecture: Theory And Methods, The - A Research Diary Of A Mathematician
ISBN: 9789811226373
Издательство: World Scientific Publishing
Классификация:

Основы высшей математики и математический анализ

Комплексные переменные, функции комплексной переменной

ISBN-10: 9811226377
Обложка/Формат: Hardback
Страницы: 620
Вес: 1.18 кг.
Дата издания: 08.04.2021
Серия: Mathematics
Язык: English
Размер: 24.41 x 16.99 x 3.33 cm
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Complex analysis, complex variables, MATHEMATICS / Calculus,MATHEMATICS / Mathematical Analysis,MATHEMATICS / Probability & Statistics / General
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Поставляется из: Англии
Описание:

This book is about one of the beautiful topics in mathematics. It describes an on-going research on bounded analytic functions which are defined on the unit disc. This is a very active topic that belongs to the theory of complex analysis in a single complex variable. Complex analysis is one of the classical chapters in Mathematics. It contains the analytic theory of functions, the geometric function theory among other theoretical areas, as well as many applications. Some applications originate in other fields of mathematics: geometry, topology, arithmetic and number theory in general, algebra etc. Other applications originate in other scientific and engineering disciplines: physics, dynamical systems, electrical engineering etc.

The book includes much more than just a review on the Krzyż conjecture. It includes topics on inner functions within the context of problems that are different from the Krzyż conjecture as well as other topics on general bounded analytic functions. Progress in mathematical research is frequently fuelled by efforts to solve open problems. The book also includes a few important open problems and some partial solutions of these.

Krzyz Conjecture: Theory And Methods, The - A Research Diary Of A Mathematician, Ronen Peretz