Elementary Concepts of Topology (Dover Books on Mathematics) (English Edition)

Elementary Concepts of Topology (Dover Books on Mathematics) (English Edition)

作者
Paul Alexandroff、David Hilbert、Alan E. Farley
语言
英语
电子书格式
epub,pdf,mobi,azw3,txt,fb2,djvu
下载次数
4063
更新日期
2023-08-17
运行环境
PC/Windows/Linux/Mac/IOS/iPhone/iPad/iBooks/Kindle/Android/安卓/平板
内容简介

Alexandroff's beautiful and elegant introduction to topology was originally published in 1932 as an extension of certain aspects of Hilbert's Anschauliche Geometrie. The text has long been recognized as one of the finest presentations of the fundamental concepts, vital for mathematicians who haven't time for extensive study and for beginning investigators.The book is not a substitute for a systematic text, but an unusually useful intuitive approach to the basic concepts. Its aim is to present these concepts in a clear, elementary fashion without sacrificing their profundity or exactness and to give some indication of how they are useful in increasingly more areas of mathematics. The author proceeds from the basics of set-theoretic topology, through those topological theorems and questions which are based upon the concept of the algebraic complex, to the concept of Betti groups which binds together central topological theories in a whole and upon which applications of topology largely rest.Wholly consistent with current investigations, in which a larger and larger part of topology is governed by the concept of homology, the book deals primarily with the concepts of complex, cycle, and homology. It points the way toward a systematic and entirely geometrically oriented theory of the most general structures of space.First English translation, prepared for Dover by Alan E. Farley. Preface by David Hilbert. Author's Foreword. Index. 25 figures.

Elementary Concepts of Topology (Dover Books on Mathematics) (English Edition) EPUB, PDF, MOBI, AZW3, TXT, FB2, DjVu, Kindle电子书免费下载。

《Elementary Concepts of Topology (Dover Books on Mathematics) (English Edition)》电子书免费下载

epub下载 pdf下载 mobi下载 azw3下载 txt下载 fb2下载 djvu下载

猜你喜欢