Differential forms in algebraic topology

Author(s)

• Bott, Raoul
• Tu, Loring W.

Bibliographic Information

Differential forms in algebraic topology

Raoul Bott, Loring W. Tu

（Graduate texts in mathematics, 82）

Springer-Verlag, c1982

• : us
• : gw
• : [pbk.]

Note

Bibliography: p. 307-310

Includes index

Description and Table of Contents

Volume

: us ISBN 9780387906133

Description

Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.

Table of Contents

I De Rham Theory.- II The ?ech-de Rham Complex.- III Spectral Sequences and Applications.- IV Characteristic Classes.- References.- List of Notations.

Volume

: [pbk.] ISBN 9781441928153

Description

Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.

Table of Contents

I De Rham Theory.- II The ?ech-de Rham Complex.- III Spectral Sequences and Applications.- IV Characteristic Classes.- References.- List of Notations.

Volume

: gw ISBN 9783540906131

Description

This text, developed from a first-year graduate course in algebraic topology, is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas - de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes - and include some applications to homotopy theory. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. This text should be suitable for self-study or for a one-term course in topology.

Table of Contents

• De Rham Theory
• The Tic-Tac-Toe Game
• Spectral Sequences
• Characteristic Classes.

by "Nielsen BookData"

Details

• NCID: BA00120935
• ISBN:
  • 0387906134
  • 3540906134
  • 9781441928153
• LCCN: 81009172
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York ; Berlin ; Tokyo
• Pages/Volumes: xiv, 331 p.
• Size: 25 cm
• Classification:
  • LCC : QA613.6
  • DC19 : 514/.72
  • NDC8 : 410.7
  • NDC8 : 415.7
  • NDLC : MA81
• Subject Headings:
  • LCSH : Differential topology
  • LCSH : Algebraic topology
  • LCSH : Differential forms
• Parent Bibliography ID:
  • BA00010074