A history of algebraic and differential topology, 1900-1960 (eBook, 2009) [WorldCat.org]
skip to content
A history of algebraic and differential topology, 1900-1960 Preview this item
ClosePreview this item
Checking...

A history of algebraic and differential topology, 1900-1960

Author: Jean Dieudonné
Publisher: Boston, Mass. : Birkhäuser, ©2009.
Series: Modern Birkhäuser classics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the subject continues to play a central role in the field. Written by a world-renowned mathematician, this classic text traces the history of algebraic topology beginning with its creation in the early 1900s and describes in detail the important theories that were discovered  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
History
Additional Physical Format: Print version:
Dieudonné, Jean, 1906-1992.
History of algebraic and differential topology, 1900-1960.
Boston, Mass. : Birkhäuser, ©2009
(OCoLC)426149672
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jean Dieudonné
ISBN: 9780817649074 0817649077
OCLC Number: 432711002
Language Note: English.
Notes: Originally published in 1989.
Description: 1 online resource (xxi, 648 pages) : illustrations
Contents: Preface --
Notations --
Part 1. Simplicial Techniques and Homology --
Introduction --
The Work of Poincaré --
The Build-Up of "Classical" Homology --
The Beginnings of Differential Topology --
The Various Homology and Cohomology Theories --
Part 2. The First Applications of Simplicial Methods and of Homology --
Introduction --
The Concept of Degree --
Dimension Theory and Separation Theorems --
Fixed Points --
Local Homological Properties --
Quotient Spaces and Their Homology --
Homology of Groups and Homogeneous Spaces --
Applications of Homology to Geometry and Analysis --
Part 3. Homotopy and its Relation to Homology --
Introduction --
Fundamental Group and Covering Spaces --
Elementary Notions and Early Results in Homotopy Theory --
Fibrations --
Homology of Fiberations --
Sophisticated Relations between Homotopy and Homology --
Cohomology Operations --
Generalized Homology and Cohomology --
Bibliography --
Index of Cited Names --
Subject Index.
Series Title: Modern Birkhäuser classics.
Responsibility: Jean Dieudonné.

Abstract:

This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincare and Brouwer to Serre, Adams, and Thom. This book demonstrates in the case of  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews: "This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincare and Brouwer to Serre, Adams, and Thom. The author has Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.