Shirali, Satish Vasudeva, Harkrishan L. Introduction to mathematical analysis 9781842658475

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Автор: Shirali, Satish Vasudeva, Harkrishan L.
Название: Introduction to mathematical analysis
ISBN: 9781842658475
Издательство: Alpha science international ltd
Классификация:

Основы высшей математики и математический анализ

ISBN-10: 1842658476
Обложка/Формат: Hardback
Страницы: 386
Вес: 0.71 кг.
Дата издания: 27.09.2013
Язык: English
Размер: 163 x 248 x 24
Читательская аудитория: Undergraduate
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Поставляется из: Англии
Описание: An elementary text on the theory of functions of one real variable this book is intended for students with a good understanding of calculus as it begins with material on the real number system as a Dedekind complete ordered field and continuous functions. Pointwise and uniform convergence of series of functions, power series are discussed and a detailed treatment of differentiation, including differentiation of uniform limits of sequences is provided. Also included is an exhaustive treatment of both Riemann integration and Riemann-Stieltjes integration. Some features of this work, such as why Dedekind completeness is necessary for ensuring that nonconstant functions cannot have derivative zero everywhere without using multiple integration are exclusive to this book. There are several illustrative and worked examples, and a large number of problems with solutions (available on a compact disc).

Introduction to mathematical analysis, Shirali, Satish Vasudeva, Harkrishan L.