Analysis II

Convex Analysis and Approximation Theory

  • R. V. Gamkrelidze

Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 14)

Table of contents

  1. Front Matter
    Pages i-vii
  2. V. M. Tikhomirov
    Pages 1-92
  3. V. M. Tikkomirov
    Pages 93-243
  4. Back Matter
    Pages 245-258

About this book

Introduction

Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis, develops the main concepts and results, and mentions some beautiful theorems. The relationship of convex analysis to optimization problems, to the calculus of variations, to optimal control and to geometry is considered, and the evolution of the ideas underlying approximation theory, from its origins to the present day, is discussed. The book is addressed both to students who want to acquaint themselves with these trends and to lecturers in mathematical analysis, optimization and numerical methods, as well as to researchers in these fields who would like to tackle the topic as a whole and seek inspiration for its further development.

Keywords

Approximationstheorie Variationsrechnung calculus konvexe Analysis mathematical analysis numerical methods optimal control optimization

Editors and affiliations

  • R. V. Gamkrelidze
    • 1
    • 2
  1. 1.Steklov Mathematical InstituteAcademy of Sciences of the USSRMoscowUSSR
  2. 2.Institute for Scientific Information (VINITI)MoscowUSSR

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61267-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-64768-0
  • Online ISBN 978-3-642-61267-1
  • Series Print ISSN 0938-0396
  • About this book