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A primer on the calculus of variations and optimal control theory

Mike Mesterton-Gibbons · 2009

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About the book

"The calculus of variations is used to find functions that optimize quantities expressed in terms of integrals. Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations. This book is an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician. It focuses on understanding concepts and how to apply them. The range of potential applications is broad: the calculus of variations and optimal control theory have been widely used in numerous ways in biology, criminology, economics, engineering, finance, management science, and physics. Applications described in this book include cancer chemotherapy, navigational control, and renewable resource harvesting."--Page 4 of cover.

Book details

Year
2009
Language
English
Series
Student mathematical library -- v. 50
Publisher
American Mathematical Society
Editions
1
Pages
252
ISBN
9780821847725

Data source: Wikidata

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