rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Algebraic topology
    sub title: a first course
  name:
    name part: Fulton, William
    name part: 1939-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1995
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (xviii, 430 pages) : illustrations.
  abstract: This book introduces the important ideas of algebraic topology by emphasizing the relation of these ideas with other areas of mathematics. Rather than choosing one point of view of modern topology (homotropy theory, axiomatic homology, or differential topology, say) the author concentrates on concrete problems in spaces with a few dimensions, introducing only as much algebraic machinery as necessary for the problems encountered. This makes it possible to see a wider variety of important features in the subject than is common in introductory texts; it is also in harmony with the historical development of the subject. The book is aimed at students who do not necessarily intend on specializing in algebraic topology.
  table of contents: Ch. 1. Path Integrals -- Ch. 2. Angles and Deformations -- Ch. 3. The Winding Number -- Ch. 4. Applications of Winding Numbers -- Ch. 5. De Rham Cohomology and the Jordan Curve Theorem -- Ch. 6. Homology -- Ch. 7. Indices of Vector Fields -- Ch. 8. Vector Fields on Surfaces -- Ch. 9. Holes and Integrals -- Ch. 10. Mayer-Vietoris -- Ch. 11. Covering Spaces -- Ch. 12. The Fundamental Group -- Ch. 13. The Fundamental Group and Covering Spaces -- Ch. 14. The Van Kampen Theorem -- Ch. 15. Cohomology -- Ch. 16. Variations -- Ch. 17. The Topology of Surfaces -- Ch. 18. Cohomology on Surfaces -- Ch. 19. Riemann Surfaces -- Ch. 20. Riemann Surfaces and Algebraic Curves -- Ch. 21. The Riemann-Roch Theorem -- Ch. 22. Toward Higher Dimensions -- Ch. 23. Higher Homology -- Ch. 24. Duality -- Appendix A: Point Set Topology -- Appendix B: Analysis -- Appendix C: Algebra -- Appendix D: On Surfaces -- Appendix E: Proof of Borsuk's Theorem.
  note: William Fulton.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages 419-420) and indexes.
  subject:
    topic: Algebraic topology
  subject:
    topic: Topologie algébrique
  subject:
    topic: Algebraïsche topologie
  subject:
    topic: Algebraische Topologie
  subject:
    topic: Algebraic topology
  subject:
    topic: Algebraic topology
  classification: QA612 .F85 1995
  classification: 514/.2
  classification: 31.61
  related item:
    title info:
      title: Algebraic topology
    name:
      name part: Fulton, William, 1939-
    origin info:
      publisher: New York : Springer-Verlag, ©1995
    identifier: (DLC) 94021786
    identifier: (OCoLC)30594171
  related item:
    title info:
      title: Graduate texts in mathematics ; 153
  identifier: 9781461241805 (electronic bk.)
  identifier: 1461241804 (electronic bk.)
  identifier: 0387943269 (New York : hardcover : acid-free paper)
  identifier: 9780387943268 (New York : hardcover : acid-free paper)
  identifier: 0387943277 (New York : softcover : acid-free paper)
  identifier: 9780387943275 (New York : softcover : acid-free paper)
  identifier: 3540943269 (Berlin : hardcover : acid-free paper)
  identifier: 9783540943266 (Berlin : hardcover : acid-free paper)
  identifier: 3540943277 (Berlin : softcover : acid-free paper)
  identifier: 9783540943273 (Berlin : softcover : acid-free paper)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 101107
    record change date: 20260422204356.4
    record identifier: in00003506788
    language of cataloging:
      language term: eng