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Graduate Texts in Operations Research

Convex Analysis for Optimization

A Unified Approach

Authors: Brinkhuis, Jan

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  • Presents a unified novel three-step method for all constructions, formulas and proofs of the important classic notions of convexity
  • Includes numerous exercises and illustrations to stimulate learning by doing and seeing
  • Written in a narrative style with short sections and concise proofs
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eBook $79.99
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  • ISBN 978-3-030-41804-5
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Hardcover $99.99
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  • ISBN 978-3-030-41803-8
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About this Textbook

This textbook offers graduate students a concise introduction to the classic notions of convex optimization. Written in a highly accessible style and including numerous examples and illustrations, it presents everything readers need to know about convexity and convex optimization.

The book introduces a systematic three-step method for doing everything, which can be summarized as "conify, work, deconify". It starts with the concept of convex sets, their primal description, constructions, topological properties and dual description, and then moves on to convex functions and the fundamental principles of convex optimization and their use in the complete analysis of convex optimization problems by means of a systematic four-step method. Lastly, it includes chapters on alternative formulations of optimality conditions and on illustrations of their use.

"The author deals with the delicate subjects in a precise yet light-minded spirit... For experts in the field, this book not only offers a unifying view, but also opens a door to new discoveries in convexity and optimization...perfectly suited for classroom teaching.Shuzhong Zhang, Professor of Industrial and Systems Engineering, University of Minnesota

About the authors

Jan Brinkhuis is an Associate Professor of Mathematical Methods and Techniques at the Econometric  Institute of Erasmus University Rotterdam, specialized in the theory and application of optimization theory and game theory. 

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-030-41804-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-3-030-41803-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Convex Analysis for Optimization
Book Subtitle
A Unified Approach
Authors
Series Title
Graduate Texts in Operations Research
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-41804-5
DOI
10.1007/978-3-030-41804-5
Hardcover ISBN
978-3-030-41803-8
Series ISSN
2662-6012
Edition Number
1
Number of Pages
XXVII, 257
Number of Illustrations
92 b/w illustrations
Topics

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