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040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a517.97 _bMES-P
100			_aMesterton-Gibbons, Mike
245	1	0	_aPrimer on the calculus of variations and optimal control theory
260			_aRhode Island : _bAmerican Mathematical Society, _c2012
300			_axiii, 252 p. : _bill. ; _c22 cm.
490			_aStudent mathematical library ; _vvolume 50
504			_aIncludes bibliographical references and index.
520			_aThe 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. The prerequisites for the book are modest: the standard calculus sequence, a first course on ordinary differential equations, and some facility with the use of mathematical software. It is suitable for an undergraduate or beginning graduate course, or for self study. It provides excellent preparation for more advanced books and courses on the calculus of variations and optimal control theory.
521			_aUndergraduate and graduate students interested in the calculus of variations and optimal control.
650			_aCalculus of variations.
650			_aControl theory.
650			_aMathematical optimization.
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/stml-50-toc.pdf?_gl=1*o2p9jm*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQ2NDk2MC41LjEuMTcxOTQ3ODgyMy4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/7675083-a-primer-on-the-calculus-of-variations-and-optimal-control-theory-stude?from_search=true&from_srp=true&qid=aevWidGLvu&rank=1#CommunityReviews
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