Serge Lang Introduction to Differentiable Manifolds 9781441930194

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Автор: Serge Lang
Название: Introduction to Differentiable Manifolds
ISBN: 9781441930194
Издательство: Springer
Классификация:

Геометрия

Топология

ISBN-10: 1441930191
Обложка/Формат: Paperback
Страницы: 250
Вес: 0.37 кг.
Дата издания: 03.12.2010
Серия: Universitext
Язык: English
Размер: 234 x 156 x 14
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book contains essential material that every graduate student must know. Written with Serge Langs inimitable wit and clarity, the volume introduces the reader to manifolds, differential forms, Darbouxs theorem, Frobenius, and all the central features of the foundations of differential geometry. Lang lays the basis for further study in geometric analysis, and provides a solid resource in the techniques of differential topology. The book will have a key position on my shelf. -Steven Krantz, Washington University in St. Louis This is an elementary, finite dimensional version of the authors classic monograph, Introduction to Differentiable Manifolds (1962), which served as the standard reference for infinite dimensional manifolds. It provides a firm foundation for a beginners entry into geometry, topology, and global analysis. The exposition is unencumbered by unnecessary formalism, notational or otherwise, which is a pitfall few writers of introductory texts of the subject manage to avoid. The authors hallmark characteristics of directness, conciseness, and structural clarity are everywhere in evidence. A nice touch is the inclusion of more advanced topics at the end of the book, including the computation of the top cohomology group of a manifolds, a generalized divergence theorem of Gauss, and an elementary residue theorem of several complex variables. If getting to the main point of an argument or having the key ideas of a subject laid bare is important to you, then you would find the reading of this book a satisfying experience.

Introduction to Differentiable Manifolds, Serge Lang