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

by 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...)

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 )

See all Editorial Reviews

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: 3.8 out of 5 stars See all reviews (5 customer reviews)
• Amazon.com Sales Rank: #323,308 in Books (See Bestsellers in Books)

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Customer Reviews

Most Helpful Customer Reviews

1 of 1 people found the following review helpful:

4.0 out of 5 stars Very Good, May 9, 2007

By	Bernardo Pagnoncelli "bernardokp" - See all my reviews (REAL NAME)

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.

3.0 out of 5 stars good for an introduction, March 8, 2009

By	Li Yi - See all my reviews (REAL NAME)

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)

5 of 9 people found the following review helpful:

5.0 out of 5 stars the only thing it lacks is diagrams, January 12, 2007

By	W Boudville (Terra, Sol 3) - See all my reviews (TOP 50 REVIEWER)    (REAL NAME)

This book perhaps ranks with Halmos' "Finite Dimensional Vector Spaces" as an unusually clear description of its subject. Rockafellar's book has been through numerous printings in 40 years. The theorem proofs can be intricate. But the thread of logical development makes reading it worthwhile. Certainly, it is beautiful how the crucial assumption of convexity makes all the derivations possible.

The level of discussion is suitable for a 3rd year undergrad [or higher], who is majoring in maths.

By current standards of maths texts, it does lack diagrams. In fact, there doesn't seem to be a single one! Something to get used to, if you are a current undergrad weaned on recent texts. [Since the author is still alive, perhaps he might consider adding diagrams to a future edition.]