Happy Holidays! Over 120,000 eBooks at just 19.99 each— Pick a favorite today

Applied Optimization

Non-Connected Convexities and Applications

Authors: Cristescu, G., Lupsa, L.

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-1-4615-0003-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-1-4020-0624-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
price for USA
  • ISBN 978-1-4613-4881-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Lectori salutem! The kind reader opens the book that its authors would have liked to read it themselves, but it was not written yet. Then, their only choice was to write this book, to fill a gap in the mathematicalliterature. The idea of convexity has appeared in the human mind since the antiquity and its fertility has led to a huge diversity of notions and of applications. A student intending a thoroughgoing study of convexity has the sensation of swimming into an ocean. It is due to two reasons: the first one is the great number of properties and applications of the classical convexity and second one is the great number of generalisations for various purposes. As a consequence, a tendency of writing huge books guiding the reader in convexity appeared during the last twenty years (for example, the books of P. M. Gruber and J. M. Willis (1993) and R. J. Webster (1994)). Another last years' tendency is to order, from some point of view, as many convexity notions as possible (for example, the book of I. Singer (1997)). These approaches to the domain of convexity follow the previous point of view of axiomatizing it (A. Ghika (1955), W. Prenowitz (1961), D. Voiculescu (1967), V. W. Bryant and R. J. Webster (1969)). Following this last tendency, our book proposes to the reader two classifications of convexity properties for sets, both of them starting from the internal mechanism of defining them.

Table of contents (13 chapters)

  • The fields of non-connected convexity properties

    Cristescu, Gabriela (et al.)

    Pages 3-21

  • Convexity with respect to a set

    Cristescu, Gabriela (et al.)

    Pages 23-59

  • Behaviours. Convexity with respect to a behaviour

    Cristescu, Gabriela (et al.)

    Pages 61-87

  • Convexity with respect to a set and two behaviours

    Cristescu, Gabriela (et al.)

    Pages 89-111

  • Convexities defined by means of distance functions

    Cristescu, Gabriela (et al.)

    Pages 113-132

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-1-4615-0003-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-1-4020-0624-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
price for USA
  • ISBN 978-1-4613-4881-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Non-Connected Convexities and Applications
Authors
Series Title
Applied Optimization
Series Volume
68
Copyright
2002
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4615-0003-2
DOI
10.1007/978-1-4615-0003-2
Hardcover ISBN
978-1-4020-0624-1
Softcover ISBN
978-1-4613-4881-8
Series ISSN
1384-6485
Edition Number
1
Number of Pages
XX, 368
Number of Illustrations and Tables
1 b/w illustrations
Topics