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Calculus in Vector Spaces without Norm

  • Authors
  • A. Frölicher
  • W. Bucher
Book

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

Table of contents

  1. Front Matter
    Pages i-X
    PDF
  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
    PDF

About this book

Keywords

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

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0068432
  • Copyright Information Springer-Verlag Berlin Heidelberg 1966
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-03612-8
  • Online ISBN 978-3-540-34862-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site