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Calculus of Variations and Optimal Control - Mathematics Book

Applied Mathematics

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Description

Expand your mathematical research with Calculus of Variations and Optimal Control, part of the Translations of Mathematical Monographs series. This specialized text focuses on the development of the Pontryagin minimum theory as applied to problems within the calculus of variations. A central element of this work is the application of the Pontryagin minimum notion, which serves as a distinctive feature for students and professionals in applied mathematics. The book introduces a new theory regarding quadratic conditions for a Pontryagin minimum, specifically designed to cover broken extremals. Readers will find detailed derivations of sufficient conditions for a strong minimum and see how classical theorems of the calculus of variations are generalized. Published by the American Mathematical Society, this monograph provides the technical depth required for advanced study in optimal control and mathematical theory.

Key Features

Develops the theory of a Pontryagin minimum specifically for problems in the calculus of variations.

Introduces a new theory of quadratic conditions for a Pontryagin minimum to cover broken extremals.

Provides detailed sufficient conditions for achieving a strong minimum in mathematical applications.

Offers generalizations of classical theorems found within the calculus of variations.

Part of the professional Translations of Mathematical Monographs series from the American Mathematical Society.

Product Specifications

Format: hardcover
ASIN: 0821807536
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 11 March 1999
Listed Since: 17 December 2006

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Calculus of Variations and Optimal Control - Mathematics Book

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