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Springer Undergraduate Texts in Mathematics and Technology

Nonlinear Optimization

Authors: Aragón, F.J., Goberna, M.A., López, M.A., Rodríguez, M.M.L.

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  • Textbook for convex optimization and non-convex optimization courses
  • Contains exercises with select solutions
  • ​Features model building, real problems, and applications of optimization models
  • Provides numerical approaches to solve nonlinear optimization problems
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eBook $39.99
$54.99 (listprice)
price for USA in USD (gross)
valid through July 31, 2020
  • ISBN 978-3-030-11184-7
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Hardcover $49.99
$69.99 (listprice)
price for USA in USD
valid through July 31, 2020
  • ISBN 978-3-030-11183-0
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  • Immediate ebook access, if available*, with your print order
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About this Textbook

This textbook on nonlinear optimization focuses on model building, real world problems, and applications of optimization models to natural and social sciences. Organized into two parts, this book may be used as a primary text for courses on convex optimization and non-convex optimization. Definitions, proofs, and numerical methods are well illustrated and all chapters contain compelling exercises. The exercises emphasize fundamental theoretical results on optimality and duality theorems, numerical methods with or without constraints, and derivative-free optimization. Selected solutions are given. Applications to theoretical results and numerical methods are highlighted to help students comprehend methods and techniques.


About the authors

Francisco J. Aragón (Ramón y Cajal Researcher), Miguel A. Goberna (Full Professor), Marco A. López (Full Professor), and Margarita M. L. Rodríguez (Associate Professor) are members of the Optimization Laboratory at the University of Alicante. Marco A. López is also Honorary Adjunct Professor of CIAO, Federation University, Ballarat (Australia). This group was created in the 1980s by the 2nd and 3rd authors, and works on the theory and methods for optimization problems. In particular, they have analyzed ordinary, semi-infinite, and infinite optimization problems from different perspectives (e.g., optimality, duality, stability, sensitivity and robustness), and have contributed with various numerical methods for linear and convex semi-infinite optimization problems and systems, together with new splitting algorithms for tackling feasibility and optimization problems.

Miguel A. Goberna and Marco A. López are co-authors of the books Linear Semi-Infinite Optimization (J. Wiley, 1998) and Post-Optimal Analysis in Linear Semi-Infinite Optimization (SpringerBrief, 2014).


Reviews

“This book is a valuable contribution to optimization, its theory, methods and applications ... . Applications to theoretical results and numerical methods are highlighted to help readers, e.g., students, in order to understand and learn approaches and methods. This excellent book is clearly and well structured, analytically deep, well exemplified, beautifully illustrated, and written with care and taste.” (Gerhard-Wilhelm, WeberJoanna Majchrzak and Erik Kropat, zbMATH 1423.90001, 2019)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $39.99
$54.99 (listprice)
price for USA in USD (gross)
valid through July 31, 2020
  • ISBN 978-3-030-11184-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $49.99
$69.99 (listprice)
price for USA in USD
valid through July 31, 2020
  • ISBN 978-3-030-11183-0
  • 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
Nonlinear Optimization
Authors
Series Title
Springer Undergraduate Texts in Mathematics and Technology
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-11184-7
DOI
10.1007/978-3-030-11184-7
Hardcover ISBN
978-3-030-11183-0
Series ISSN
1867-5506
Edition Number
1
Number of Pages
XIV, 350
Number of Illustrations
87 b/w illustrations, 106 illustrations in colour
Topics

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