Real and Convex Analysis

  • Erhan Çınlar
  • Robert J. Vanderbei
Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Erhan Çınlar, Robert J. Vanderbei
    Pages 1-21
  3. Erhan Çınlar, Robert J. Vanderbei
    Pages 23-45
  4. Erhan Çınlar, Robert J. Vanderbei
    Pages 47-63
  5. Erhan Çınlar, Robert J. Vanderbei
    Pages 65-84
  6. Erhan Çınlar, Robert J. Vanderbei
    Pages 85-99
  7. Erhan Çınlar, Robert J. Vanderbei
    Pages 101-113
  8. Erhan Çınlar, Robert J. Vanderbei
    Pages 115-153
  9. Back Matter
    Pages 155-161

About this book

Introduction

This book offers a first course in analysis for scientists and engineers. It can be used at the advanced undergraduate level or as part of the curriculum in a graduate program. 

 

The book  is  built around metric spaces. In the first three chapters, the authors lay the foundational material and cover the all-important “four-C’s”: convergence, completeness, compactness, and continuity. In subsequent chapters, the basic tools of analysis are used to give brief introductions to differential and integral equations, convex analysis, and measure theory. 

 

The treatment is modern and aesthetically pleasing. The book contains  detailed illustrations, examples and exercises. It lays the groundwork for the needs of classical fields as well as the important new fields of optimization and probability theory.

Keywords

Cinlar and analysis Convex analysis Measure theory Real analysis Vanderbei and analysis convex optimization textbook

Authors and affiliations

  • Erhan Çınlar
    • 1
  • Robert J. Vanderbei
    • 2
  1. 1.Dept. Operations Research &, Financial EngineeringPrinceton UniversityPrincetonUSA
  2. 2., Department of ORFEPrinceton UniversityPrincetonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-5257-7
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-5256-0
  • Online ISBN 978-1-4614-5257-7
  • Series Print ISSN 0172-6056
  • About this book