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Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
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Optimization-Theory and Applications - Problems with Ordinary Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1983)
Loot Price: R3,584
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Optimization-Theory and Applications - Problems with Ordinary Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1983)
Series: Stochastic Modelling and Applied Probability, 17
Expected to ship within 10 - 15 working days
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This book has grown out of lectures and courses in calculus of
variations and optimization taught for many years at the University
of Michigan to graduate students at various stages of their
careers, and always to a mixed audience of students in mathematics
and engineering. It attempts to present a balanced view of the
subject, giving some emphasis to its connections with the classical
theory and to a number of those problems of economics and
engineering which have motivated so many of the present
developments, as well as presenting aspects of the current theory,
particularly value theory and existence theorems. However, the
presentation ofthe theory is connected to and accompanied by many
concrete problems of optimization, classical and modern, some more
technical and some less so, some discussed in detail and some only
sketched or proposed as exercises. No single part of the subject
(such as the existence theorems, or the more traditional approach
based on necessary conditions and on sufficient conditions, or the
more recent one based on value function theory) can give a
sufficient representation of the whole subject. This holds
particularly for the existence theorems, some of which have been
conceived to apply to certain large classes of problems of
optimization. For all these reasons it is essential to present many
examples (Chapters 3 and 6) before the existence theorems (Chapters
9 and 11-16), and to investigate these examples by means of the
usual necessary conditions, sufficient conditions, and value
function theory.
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