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: Beginning Functional Analysis
  name:
    name part: Saxe, Karen.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 2002
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xi, 197 pages)
  abstract: The unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators relating these points as linear transformations on these spaces. The author presents the basics of functional analysis with attention paid to both expository style and technical detail, while getting to interesting results as quickly as possible. The book is accessible to students who have completed first courses in linear algebra and real analysis. Topics are developed in their historical context, with accounts of the past - including biographies - appearing throughout the text. The book offers suggestions and references for further study, and many exercises. Karen Saxe is Associate Professor of Mathematics at Macalester College in St. Paul, Minnesota. She received her Ph. D. from the University of Oregon. Before joining the faculty at Macalester, she held a two-year FIPSE post-doctoral position at St. Olaf College in Northfield, Minnesota. She currently serves on the editorial board of the MAA's College Mathematics Journal. This is her first book.
  table of contents: Metric Spaces, Normed Spaces, Inner Product Spaces -- The Topology of Metric Spaces -- Measure and Integration -- Fourier Analysis in Hilbert Space -- An Introduction to Abstract Linear Operator Theory -- Further Topics -- Appendix A: Complex Numbers -- Appendix B: Basic Set Theory -- Appendix C: Biographies.
  note: by Karen Saxe.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Mathematics
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Undergraduate texts in mathematics
  identifier: 9781475736878 (electronic bk.)
  identifier: 1475736878 (electronic bk.)
  identifier: 9781441929143
  identifier: 1441929142
  identifier: 1475736878
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130403
    record change date: 20260422230549.0
    record identifier: in00003559851
    language of cataloging:
      language term: eng