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Convex Analysis (Princeton Landmarks in Mathematics and Physics) (Paperback)

~ Ralph Tyrell Rockafellar (Author) "Throughout this book, R denotes the real number system, and Rn is the usual vector space of real n-tuples x = ( 1,..., n)..." (more)
Key Phrases: convex bifunction, ordinary convex program, closed proper convex function, Carathéodory's Theorem, Helly's Theorem, Kuhn-Tucker Theorem (more...)
4.0 out of 5 stars  See all reviews (6 customer reviews)
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Editorial Reviews

Review

This book should remain for some years as the standard reference for anyone interested in convex analysis. -- J. D. Pryce, Edinburgh Mathematical Society

This book should remain for some years as the standard reference for anyone interested in convex analysis. -- Review


Review

This book should remain for some years as the standard reference for anyone interested in convex analysis.
(J. D. Pryce Edinburgh Mathematical Society )
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Product Details

  • Paperback: 469 pages
  • Publisher: Princeton University Press (December 23, 1996)
  • Language: English
  • ISBN-10: 0691015864
  • ISBN-13: 978-0691015866
  • Product Dimensions: 8.9 x 5.8 x 1 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon.com Sales Rank: #269,613 in Books (See Bestsellers in Books)

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    #26 in  Books > Science > Mathematics > Applied > Linear Programming
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More About the Authors

Discover books, learn about writers, read author blogs, and more.
Jan van Tiel
Jan van Tiel
R. Tyrrell Rockafellar
R. Tyrrell Rockafellar

Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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Inside This Book (learn more)
First Sentence:
Throughout this book, R denotes the real number system, and Rn is the usual vector space of real n-tuples x = ( 1,..., n). Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
convex bifunction, ordinary convex program, closed proper convex function, generalized convex programs, concave bifunctions, positively homogeneous proper convex function, conjugacy correspondence, function whose effective domain, improper convex function, proper concave function, polyhedral convex function, polyhedral convexity, monotone conjugacy, finite convex function, convex process, weak linear inequalities, same relative interior, quadratic convex function, relative boundary points, polyhedral convex set, lineality space, closed convex function, proper convex functions, supremum relative, polarity correspondence
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Carathéodory's Theorem, Helly's Theorem, Kuhn-Tucker Theorem
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Customer Reviews

6 Reviews
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4.0 out of 5 stars (6 customer reviews)
 
 
 
 
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1 of 1 people found the following review helpful:
4.0 out of 5 stars Very Good, May 9, 2007
This book is a classic. It is probably the best reference book although it is tough to read from the beginning untill the end. The style is heavy and you need strong mathematical background to understand it.
Anyway, if you need a result on convex functions or convex analysis it is very likely that you will find it in ths book.
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5.0 out of 5 stars The classic convex analysis book, October 21, 2009
This is the most important and influential book ever written on convex analysis and optimization. Based on the works of Fenchel and other mathematicians from the 50s and early 60s (such as the Princeton school), Rockafellar takes the subject to a new level, with a deep and comprehensive synthesis, focused primarily on a definitive development of duality theory, and of the convex analysis that supports it. This is the place to start if you are looking for a result on the theory and convex sets and functions, or duality theory; the book is comprehensive. This is not an easy book to read, and it would benefit from illustrations and exercises (it has none). However, its value and profound influence on the field are hard to overestimate.
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3.0 out of 5 stars good for an introduction, March 8, 2009
cover almost all aspect; it's easy to understand because things are discussed in R^n (rather than hilbert space, which is also a con of this book)
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Most Recent Customer Reviews

5.0 out of 5 stars the only thing it lacks is diagrams
This book perhaps ranks with Halmos' "Finite Dimensional Vector Spaces" as an unusually clear description of its subject. Read more
Published on January 12, 2007 by W Boudville

2.0 out of 5 stars a beauty mummified
convex programming is a beautiful topic which admits amazing geometric interpretation.

books like this manage to destroy one's appreciation of the topic by not... Read more
Published on December 1, 2005 by Roger

5.0 out of 5 stars Excellent introduction to Topology.
This is a good book for the first year in PhD studies. I recommend amply this book, it's very clear in the explanation, if you have any doubts about topology, Rockafellar... Read more
Published on May 9, 2001 by B. H. Cruz

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