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© 2013

Real and Convex Analysis

Benefits

  • First undergraduate text that provides accessible introduction to real and convex analysis

  • Top authors from Princeton University (both published previously successful books)

  • Lots of examples and exercises?

Textbook
  • 41k Downloads

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

  1. 1.Dept. Operations Research &, Financial EngineeringPrinceton UniversityPrincetonUSA
  2. 2., Department of ORFEPrinceton UniversityPrincetonUSA

About the authors

Erhan Cinlar, Professor and former Chair of Operations Research and Financial Engineering, Princeton University Robert J. Vanderbei, Professor and former Chair of Operations Research and Financial Engineering, Princeton University

Bibliographic information

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Reviews

From the reviews:

“The purpose of this slim volume is to serve as a (very quick) introduction to analysis for advanced undergraduate or graduate students in science and engineering. Einlar and Vanderbei (both, Princeton) base this introduction to analysis on metric spaces. … Summing Up: Recommended. Upper-division undergraduates and graduate students.” (D. Robbins, Choice, Vol. 50 (11), July, 2013)