Convex Functions
eBook - PDF

Convex Functions

Constructions, Characterizations and Counterexamples

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Convex Functions

Constructions, Characterizations and Counterexamples

About this book

Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces. The book can either be read sequentially for a graduate course, or dipped into by researchers and practitioners. Each chapter contains a variety of specific examples, and over 600 exercises are included, ranging in difficulty from early graduate to research level.

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Yes, you can access Convex Functions by Jonathan M. Borwein,Jon D. Vanderwerff in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Dedication
  5. Contents
  6. Preface
  7. 1 Why convex?
  8. 2 Convex functions on Euclidean spaces
  9. 3 Finer structure of Euclidean spaces
  10. 4 Convex functions on Banach spaces
  11. 5 Duality between smoothness and strict convexity
  12. 6 Further analytic topics
  13. 7 Barriers and Legendre functions
  14. 8 Convex functions and classifications of Banach spaces
  15. 9 Monotone operators and the Fitzpatrick function
  16. 10 Further remarks and notes
  17. List of symbols
  18. References
  19. Index