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  • Textbook
  • © 2013

Real and Convex Analysis

  • 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?

Part of the book series: Undergraduate Texts in Mathematics (UTM)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-ix
  2. Sets and Functions

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 1-21
  3. Metric Spaces

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 23-45
  4. Functions on Metric Spaces

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 47-63
  5. Differential and Integral Equations

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 65-84
  6. Convexity

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 85-99
  7. Convex Optimization

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 101-113
  8. Measure and Integration

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 115-153
  9. Back Matter

    Pages 155-161

About this book

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. It lays the groundwork for the needs of classical fields as well as the important new fields of optimization and probability theory.

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)

Authors and Affiliations

  • Dept. Operations Research &, Financial Engineering, Princeton University, Princeton, USA

    Erhan Çınlar

  • , Department of ORFE, Princeton University, Princeton, USA

    Robert J. Vanderbei

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

Buy it now

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 89.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access