Variational Calculus and Optimal Control : Optimization with Elementary Convexity /
The text provides an introduction to the variational methods used to formulate and solve mathematical and physical problems and gives the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in Euclidian space. By helping students directly character...
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| Format: | eBook |
| Language: | English |
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New York, NY :
Springer New York,
1996.
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| Edition: | Second edition. |
| Series: | Undergraduate texts in mathematics.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Basic theory: standard optimization problems; linear spaces and Gateaux variations; minimization of convex functions; the lemmas of Lagrange and DuBois-Reymond
- Advanced topics: piecewise C1 extremal functions; conditions for a minimum
- Elementary convexity and optimal control (new in this edition).