| Document Type
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BL
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| Record Number
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637233
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| Doc. No
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dltt
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| Main Entry
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Mesterton-Gibbons, Mike
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| Title & Author
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A primer on the calculus of variations and optimal control theory /\ Mike Mesterton-Gibbons
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, c2009
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| Series Statement
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Student mathematical library ;; v. 50
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| Page. NO
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xiii, 252 p. :: ill. ;; 22 cm
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| ISBN
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9780821847725 (alk. paper)
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: 0821847724 (alk. paper)
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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The brachistochrone -- The fundamental problem. Extremals -- The insufficiency of extremality -- Important first integrals -- The du Bois-Reymond equation -- The corner conditions -- Legendre's necessary condition -- Jacobi's necessary condition -- Weak versus strong variations -- Weierstrass's necessary condition -- The transversality conditions -- Hilbert's invariant integral -- The fundamental sufficient condition -- Jacobi's condition revisited -- Isoperimetrical problems -- Optimal control problems -- Necessary conditions for optimality -- Time-optimal control -- A singular control problem -- A biological control problem -- Optimal control to a general target -- Navigational control problems -- State variable restrictions -- Optimal harvesting
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| Subject
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Calculus of variations
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| Subject
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Control theory
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| Subject
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Mathematical optimization
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| LC Classification
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QA315.M46 2009
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