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Convex Analysis (Princeton Landmarks in Mathematics and Physics)
 
 
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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...)
3.8 out of 5 stars See all reviews (5 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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Convex Analysis (Princeton Landmarks in Mathematics and Physics)
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Convex Analysis (Princeton Landmarks in Mathematics and Physics) 3.8 out of 5 stars (5)
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Customer Reviews

5 Reviews
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3.8 out of 5 stars (5 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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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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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.]
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Most Recent Customer Reviews

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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