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  • Book
  • © 1966

Calculus in Vector Spaces without Norm

Part of the book series: Lecture Notes in Mathematics (LNM, volume 30)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-X
  2. Elementary properties of filters

    • A. Frölicher, W. Bucher
    Pages 1-5
  3. Pseudo-topological vector spaces

    • A. Frölicher, W. Bucher
    Pages 6-31
  4. Differentiability and derivatives

    • A. Frölicher, W. Bucher
    Pages 32-41
  5. Examples and special cases

    • A. Frölicher, W. Bucher
    Pages 42-49
  6. Fundamental theorem of calculus

    • A. Frölicher, W. Bucher
    Pages 50-64
  7. Pseudo-topologies on some function spaces

    • A. Frölicher, W. Bucher
    Pages 65-81
  8. The class of admissible vector spaces

    • A. Frölicher, W. Bucher
    Pages 82-89
  9. Partial derivatives and differentiability

    • A. Frölicher, W. Bucher
    Pages 90-92
  10. Higher derivatives

    • A. Frölicher, W. Bucher
    Pages 93-98
  11. Ck-mappings

    • A. Frölicher, W. Bucher
    Pages 99-109
  12. The composition of Ck-mappings

    • A. Frölicher, W. Bucher
    Pages 110-130
  13. Differentiable deformation of differentiable mappings

    • A. Frölicher, W. Bucher
    Pages 131-136
  14. Back Matter

    Pages 137-146

Keywords

  • Derivative
  • Fundamental theorem of calculus
  • Spaces
  • Topology
  • Vector
  • Vektorraum
  • calculus
  • function
  • theorem

Bibliographic Information

  • Book Title: Calculus in Vector Spaces without Norm

  • Authors: A. Frölicher, W. Bucher

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0068432

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1966

  • Softcover ISBN: 978-3-540-03612-8Published: 01 January 1966

  • eBook ISBN: 978-3-540-34862-7Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 150

  • Topics: Mathematics

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions