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  • Full bibliographic data for Convex Analysis

    Title
    Convex Analysis
    Authors and contributors
    By (author) R.T. Rockafellar
    Physical properties
    Format: Paperback
    Number of pages: 470
    Width: 152 mm
    Height: 229 mm
    Thickness: 24 mm
    Weight: 625 g
    Audience
    College/higher education
    General/trade
    Professional and scholarly
    Language
    English
    ISBN
    ISBN 13: 9780691015866
    ISBN 10: 0691015864
    Classifications
    Dewey: 515.64
    Dewey: 515.7248
    Nielsen BookScan Product Class: S7.8
    BISAC category code: MAT017000
    BISAC category code: MAT034000
    Edition statement
    Reprint
    Illustrations note
    black & white illustrations
    Publisher
    Princeton University Press
    Imprint name
    Princeton University Press
    Publication date
    23 December 1996
    Publication City/Country
    New Jersey/US
    Main description
    Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle- functions. This book has firmly established a new and vital area not only for pure mathematics but also for applications to economics and engineering. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book. There is also a guide for the reader who may be using the book as an introduction, indicating which parts are essential and which may be skipped on a first reading.
    Review quote
    This book should remain for some years as the standard reference for anyone interested in convex analysis. -- J. D. Pryce Edinburgh Mathematical Society