A History of algebraic and differential topology, 1900 - 1960
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 topolo...
Gorde:
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| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edizioa: | 1st ed. 2009. |
| Saila: | Modern Birkhäuser Classics
|
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Description d'après consultation du 02 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A History of Algebraic and Differential Topology, 1900 - 1960, Texte imprimé, 9780817649067 • A History of Algebraic and Differential Topology, 1900 - 1960, Texte imprimé, 9780817649081 • A history of algebraic and differential topology, 1900-1960, Jean Dieudonné, 1989, Boston, Birkhäuser, 1 vol. (XXI-648 p.), 0-8176-3388-X |
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| 100 | 1 | |a Dieudonné, Jean, |d 1906-1992, |c mathématicien. | |
| 245 | 1 | 0 | |a A History of algebraic and differential topology, 1900 - 1960 |c by Jean Dieudonné. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Modern Birkhäuser Classics |x 2197-1811 | |
| 500 | |a Description d'après consultation du 02 mars 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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. | |
| 505 | 0 | |a Part I: Simplicia1 Techniques and Homology -- Part 2: The First Applications of Simplicia1 : Methods and of Homology -- Dimension Theory and Separation Theorems -- Part 3: Homotopy and its Relution to Homology -- Cohomology Operations -- Generalized Homology and Cohomology -- The Work of Poincaré -- The Build-Up of Classical Homology -- The Beginnings of Differential Topology -- The Various Homology and Cohomology Theories -- The Concept of Degree -- Fixed Points -- Local Homological Properties -- Quotient Spaces and Their Homology -- Homolagy of Groups and Homogeneous Spaces -- Applications of Homology to Geometry and Analysis -- Fundamental Group and Covering Spaces -- Elementary Notions and Early Results in Homotopy Theory -- Fibrations -- Homology of Fibrations -- Sophisticated Relations between Homotopy and Homology | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Topologie algébrique |x Histoire | ||
| 650 | |a Topologie différentielle |x Histoire | ||
| 776 | 0 | |t A History of Algebraic and Differential Topology, 1900 - 1960 |b Texte imprimé |z 9780817649067 | |
| 776 | 0 | |t A History of Algebraic and Differential Topology, 1900 - 1960 |b Texte imprimé |z 9780817649081 | |
| 776 | 0 | |0 02071114X |t A history of algebraic and differential topology |o 1900-1960 |f Jean Dieudonné |d 1989 |c Boston |n Birkhäuser |p 1 vol. (XXI-648 p.) |z 0-8176-3388-X | |
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| 997 | |0 941661 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||