Undergraduate Convexity: From Fourier And Motzkin To Kuhn And Tucker

Author:   Niels Lauritzen (Aarhus Univ, Denmark)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814412513


Pages:   300
Publication Date:   06 May 2013
Format:   Hardback
Availability:   In Print   Availability explained
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Undergraduate Convexity: From Fourier And Motzkin To Kuhn And Tucker


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Overview

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

Full Product Details

Author:   Niels Lauritzen (Aarhus Univ, Denmark)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.70cm , Height: 2.30cm , Length: 23.10cm
Weight:   0.558kg
ISBN:  

9789814412513


ISBN 10:   9814412511
Pages:   300
Publication Date:   06 May 2013
Audience:   College/higher education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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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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