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Lecture Notes in Economics and Mathematical Systems

Lectures on Mathematical Theory of Extremum Problems

Authors: Girsanov, I. V.

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  • ISBN 978-3-642-80684-1
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  • ISBN 978-3-540-05857-1
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About this book

The author of this book, Igor' Vladimirovich Girsanov, was one of the first mathematicians to study general extremum problems and to realize the feasibility and desirability of a unified theory of extremal problems, based on a functional­ analytic approach. He actively advocated this view, and his special course, given at the Faculty of Mechanics and Mathematics of the Moscow State University in 1963 and 1964, was apparently the first systematic exposition of a unified approach to the theory of extremal problems. This approach was based on the ideas of Dubovitskii and Milyutin [1]. The general theory of extremal problems has developed so intensely during the past few years that its basic concepts may now be considered finalized. Nevertheless, as yet the basic results of this new field of mathematics have not been presented in a form accessible to a wide range of readers. (The profound paper of Dubovitskii and Milyutin [2] can hardly be recommended for a first study of the theory, since, in particular, it does not contain proofs of the fundamental theorems. ) Girsanov's book fills this gap. It contains a systematic exposition of the general principles underlying the derivation of necessary and sufficient conditions for an extremum, in a wide variety of problems. Numerous applications are given to specific extremal problems. The main material is preceded by an introductory section in which all prerequisites from functional analysis are presented.

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook 83,29 €
price for Spain (gross)
  • ISBN 978-3-642-80684-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-540-05857-1
  • 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
Lectures on Mathematical Theory of Extremum Problems
Authors
Translated by
Louvish, D.
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Volume
67
Copyright
1972
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin · Heidelberg
eBook ISBN
978-3-642-80684-1
DOI
10.1007/978-3-642-80684-1
Softcover ISBN
978-3-540-05857-1
Series ISSN
0075-8442
Edition Number
1
Number of Pages
VI, 138
Topics