Lang, Serge Undergraduate analysis 9781441928535

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Автор: Lang, Serge
Название: Undergraduate analysis
ISBN: 9781441928535
Издательство: Springer
Классификация:

Основы высшей математики и математический анализ

ISBN-10: 1441928537
Обложка/Формат: Paperback
Страницы: 664
Вес: 0.97 кг.
Дата издания: 04.12.2010
Серия: Undergraduate texts in mathematics
Язык: English
Издание: Softcover reprint of
Иллюстрации: 23 black & white illustrations, biography
Размер: 158 x 246 x 37
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. One of the authors main concerns is to achieve a balance between concrete examples and general theorems, augmented by a variety of interesting exercises. Some new material has been added in this second edition, for example: a new chapter on the global version of integration of locally integrable vector fields; a brief discussion of L1-Cauchy sequences, introducing students to the Lebesgue integral; more material on Dirac sequences and families, including a section on the heat kernel; a more systematic discussion of orders of magnitude; and a number of new exercises.

Undergraduate analysis, Lang, Serge