Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (7 chapters)
-
Front Matter
-
Symmetry in Convex Systems
-
Front Matter
-
-
Symmetry Breaking: Triality Theory in Nonconvex Systems
-
Front Matter
-
-
Duality in Canonical Systems
-
Front Matter
-
-
Back Matter
About this book
With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis.
Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can alsobe recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.
Authors and Affiliations
-
Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, USA
David Yang Gao
Bibliographic Information
Book Title: Duality Principles in Nonconvex Systems
Book Subtitle: Theory, Methods and Applications
Authors: David Yang Gao
Series Title: Nonconvex Optimization and Its Applications
DOI: https://doi.org/10.1007/978-1-4757-3176-7
Publisher: Springer New York, NY
-
eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 2000
Hardcover ISBN: 978-0-7923-6145-9Published: 31 January 2000
Softcover ISBN: 978-1-4419-4825-0Published: 07 December 2010
eBook ISBN: 978-1-4757-3176-7Published: 09 March 2013
Series ISSN: 1571-568X
Edition Number: 1
Number of Pages: XVIII, 454
Topics: Calculus of Variations and Optimal Control; Optimization, Optimization, Classical Mechanics, Applications of Mathematics