Book 2012

Calculus on Normed Vector Spaces

Authors:

ISBN: 978-1-4614-3893-9 (Print) 978-1-4614-3894-6 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xi

  2. No Access

    Chapter

    Pages 1-33

    Normed Vector Spaces

  3. No Access

    Chapter

    Pages 35-60

    Differentiation

  4. No Access

    Chapter

    Pages 61-78

    Mean Value Theorems

  5. No Access

    Chapter

    Pages 79-105

    Higher Derivatives and Differentials

  6. No Access

    Chapter

    Pages 107-124

    Taylor Theorems and Applications

  7. No Access

    Chapter

    Pages 125-140

    Hilbert Spaces

  8. No Access

    Chapter

    Pages 141-159

    Convex Functions

  9. No Access

    Chapter

    Pages 161-188

    The Inverse and Implicit Mapping Theorems

  10. No Access

    Chapter

    Pages 189-212

    Vector Fields

  11. No Access

    Chapter

    Pages 213-227

    The Flow of a Vector Field

  12. No Access

    Chapter

    Pages 229-244

    The Calculus of Variations: An Introduction

  13. Back Matter

    Pages 245-249