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Undergraduate Convexity

From Fourier And Motzkin To Kuhn And Tucker

Niels Lauritzen (Aarhus Univ, Denmark)

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Hardback

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English
World Scientific Publishing Co Pte Ltd
12 March 2013
Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples.

Starting from linear inequalities and Fourier-Motzkin elimination, the theory is developed by introducing polyhedra, the double description method and the simplex algorithm, closed convex subsets, convex functions of one and several variables ending with a chapter on convex optimization with the Karush-Kuhn-Tucker conditions, duality and an interior point algorithm. Study Guide here

By:  
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
Dimensions:   Height: 231mm,  Width: 157mm,  Spine: 23mm
Weight:   558g
ISBN:   9789814412513
ISBN 10:   9814412511
Pages:   300
Publication Date:  
Audience:   College/higher education ,  A / AS level
Format:   Hardback
Publisher's Status:   Active

Reviews for Undergraduate Convexity: From Fourier And Motzkin To Kuhn And Tucker

Overall, the author has managed to keep a sound balance between the different approaches to convexity in geometry, analysis, and applied mathematics. The entire presentation is utmost lucid, didactically well-composed, thematically versatile and essentially self-contained. -- Zentralblatt MATH Zentralblatt MATH


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