Calculus on Normed Vector Spaces

  • Rodney Coleman

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Rodney Coleman
    Pages 1-33
  3. Rodney Coleman
    Pages 35-60
  4. Rodney Coleman
    Pages 61-78
  5. Rodney Coleman
    Pages 79-105
  6. Rodney Coleman
    Pages 107-124
  7. Rodney Coleman
    Pages 125-140
  8. Rodney Coleman
    Pages 141-159
  9. Rodney Coleman
    Pages 161-188
  10. Rodney Coleman
    Pages 189-212
  11. Rodney Coleman
    Pages 213-227
  12. Rodney Coleman
    Pages 229-244
  13. Back Matter
    Pages 245-249

About this book

Introduction

This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary.

In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts.  The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader.

Keywords

Hilbert spaces convexity differentiability normed algebras normed vector spaces optimization

Authors and affiliations

  • Rodney Coleman
    • 1
  1. 1.Campus de Saint-Martin-d’HéresLaboratoire Jean KuntzmannGrenobleFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-3894-6
  • Copyright Information Springer Science+Business Media New York 2012
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-3893-9
  • Online ISBN 978-1-4614-3894-6
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site