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Nonconvex Optimization and Its Applications

Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics

Authors: Demyanov, V.F., Stavroulakis, G.E., Polyakova, L.N., Panagiotopoulos, P.D.

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eBook 178,49 €
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  • ISBN 978-1-4615-4113-4
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Hardcover 217,36 €
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  • ISBN 978-0-7923-4093-5
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Softcover 217,36 €
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  • ISBN 978-1-4613-6844-1
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About this book

Nonsmooth energy functions govern phenomena which occur frequently in nature and in all areas of life. They constitute a fascinating subject in mathematics and permit the rational understanding of yet unsolved or partially solved questions in mechanics, engineering and economics.
This is the first book to provide a complete and rigorous presentation of the quasidifferentiability approach to nonconvex, possibly nonsmooth, energy functions, of the derivation and study of the corresponding variational expressions in mechanics, engineering and economics, and of their numerical treatment. The new variational formulations derived are illustrated by many interesting numerical problems. The techniques presented will permit the reader to check any solution obtained by other heuristic techniques for nonconvex, nonsmooth energy problems. A civil, mechanical or aeronautical engineer can find in the book the only existing mathematically sound technique for the formulation and study of nonconvex, nonsmooth energy problems.
Audience: The book will be of interest to pure and applied mathematicians, physicists, researchers in mechanics, civil, mechanical and aeronautical engineers, structural analysts and software developers. It is also suitable for graduate courses in nonlinear mechanics, nonsmooth analysis, applied optimization, control, calculus of variations and computational mechanics.

Reviews

`... In view of the growing number of recent publications dealing with nonsmooth and set-valued modelling ... this book, which was written by a multidisciplinary group of authors, seems to be the first attempt to make nonsmooth modelling and set-valued techniques accessible to applied scientists by presenting the quasidifferentiable approach by means of concrete applications. ... The book provides significant help to scientists or graduate students who need an authoritative and understandable introduction to this field, and who would also, like to extend his/her ability to model nonsmooth complicated effects in his/her work. It may also serve as a reference book for advanced graduate courses in nonsmooth modelling, optimization and engineering. ... The book appears very attractive and it is certainly unique ...'
Daniel Goeleven in Mathematical Reviews, Issue 97h:49001

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 178,49 €
price for Spain (gross)
  • ISBN 978-1-4615-4113-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 217,36 €
price for Spain (gross)
  • ISBN 978-0-7923-4093-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 217,36 €
price for Spain (gross)
  • ISBN 978-1-4613-6844-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics
Authors
Series Title
Nonconvex Optimization and Its Applications
Series Volume
10
Copyright
1996
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4615-4113-4
DOI
10.1007/978-1-4615-4113-4
Hardcover ISBN
978-0-7923-4093-5
Softcover ISBN
978-1-4613-6844-1
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XVIII, 349
Topics