The Resource A History of Algebraic and Differential Topology, 1900 - 1960, by Jean Dieudonné, (electronic resource)

A History of Algebraic and Differential Topology, 1900 - 1960, by Jean Dieudonné, (electronic resource)

Label
A History of Algebraic and Differential Topology, 1900 - 1960
Title
A History of Algebraic and Differential Topology, 1900 - 1960
Statement of responsibility
by Jean Dieudonné
Creator
Author
Author
Subject
Language
  • eng
  • eng
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 before 1960. Through the work of Poincaré, de Rham, Cartan, Hureqicz, and many others, this historical book also focuses on the emergence of new ideas and methods that have led 21st-century mathematicians towards new research directions. ***************************** This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet [The author] traces the development of algebraic and differential topology from the innovative work by Poincaré at the turn of the century to the period around 1960. [He] has given a superb account of the growth of these fields.... The details are interwoven with the narrative in a very pleasant fashion.... [The author] has previous written histories of functional analysis and of algebraic geometry, but neither book was on such a grand scale as this one. He has made it possible to trace the important steps in the growth of algebraic and differential topology, and to admire the hard work and major advances made by the founders. —Zentralblatt MATH
Member of
http://library.link/vocab/creatorName
Dieudonné, Jean
Dewey number
  • 514.09
  • 514.209
  • 514/.209
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
4h0dkbIB8Uw
Language note
English
LC call number
QA612-612.8
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Modern Birkhäuser Classics,
http://library.link/vocab/subjectName
  • Algebraic topology
  • Global differential geometry
  • Algebraic Topology
  • Differential Geometry
  • History of Mathematical Sciences
Label
A History of Algebraic and Differential Topology, 1900 - 1960, by Jean Dieudonné, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Simplicia1 Techniques and Homology -- The Work of Poincar#x00E9; -- The Build-Up of #x201C;Classical#x201D; Homology -- The Beginnings of Differential Topology -- The Various Homology and Cohomology Theories -- The First Applications of Simplicia1 Methods and of Homology -- The Concept of Degree -- Dimension Theory and Separation Theorems -- Fixed Points -- Local Homological Properties -- Quotient Spaces and Their Homology -- Homolagy of Groups and Homogeneous Spaces -- Applications of Homology to Geometry and Analysis -- Homotopy and its Relution to Homology -- Fundamental Group and Covering Spaces -- Elementary Notions and Early Results in Homotopy Theory -- Fibrations -- Homology of Fibrations -- Sophisticated Relations between Homotopy and Homology -- Cohomology Operations -- Generalized Homology and Cohomology
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (674 p.)
Form of item
online
Isbn
9780817649074
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-4907-4
Specific material designation
remote
System control number
  • (CKB)1000000000761486
  • (EBL)602850
  • (OCoLC)432711002
  • (SSID)ssj0001001942
  • (PQKBManifestationID)12389352
  • (PQKBTitleCode)TC0001001942
  • (PQKBWorkID)10995562
  • (PQKB)10651911
  • (SSID)ssj0000318119
  • (PQKBManifestationID)11240665
  • (PQKBTitleCode)TC0000318119
  • (PQKBWorkID)10308274
  • (PQKB)11672323
  • (DE-He213)978-0-8176-4907-4
  • (EXLCZ)991000000000761486
Label
A History of Algebraic and Differential Topology, 1900 - 1960, by Jean Dieudonné, (electronic resource)
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Simplicia1 Techniques and Homology -- The Work of Poincar#x00E9; -- The Build-Up of #x201C;Classical#x201D; Homology -- The Beginnings of Differential Topology -- The Various Homology and Cohomology Theories -- The First Applications of Simplicia1 Methods and of Homology -- The Concept of Degree -- Dimension Theory and Separation Theorems -- Fixed Points -- Local Homological Properties -- Quotient Spaces and Their Homology -- Homolagy of Groups and Homogeneous Spaces -- Applications of Homology to Geometry and Analysis -- Homotopy and its Relution to Homology -- Fundamental Group and Covering Spaces -- Elementary Notions and Early Results in Homotopy Theory -- Fibrations -- Homology of Fibrations -- Sophisticated Relations between Homotopy and Homology -- Cohomology Operations -- Generalized Homology and Cohomology
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (674 p.)
Form of item
online
Isbn
9780817649074
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-4907-4
Specific material designation
remote
System control number
  • (CKB)1000000000761486
  • (EBL)602850
  • (OCoLC)432711002
  • (SSID)ssj0001001942
  • (PQKBManifestationID)12389352
  • (PQKBTitleCode)TC0001001942
  • (PQKBWorkID)10995562
  • (PQKB)10651911
  • (SSID)ssj0000318119
  • (PQKBManifestationID)11240665
  • (PQKBTitleCode)TC0000318119
  • (PQKBWorkID)10308274
  • (PQKB)11672323
  • (DE-He213)978-0-8176-4907-4
  • (EXLCZ)991000000000761486

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