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01631nam a2200241 a 4500 |
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20171111230020.0 |
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090223s2009 riua b 001 0 eng |
| 020 |
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|a 9780821847725 (alk. paper)
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| 040 |
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|a DLC
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| 050 |
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|a QA315
|b .M46 2009
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| 082 |
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|2 22
|a 515/.64
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| 100 |
1 |
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|a Mesterton-Gibbons, Mike
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| 245 |
1 |
2 |
|a A primer on the calculus of variations and optimal control theory /
|c Mike Mesterton-Gibbons.
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| 260 |
1 |
2 |
|a Providence, R.I. :
|b American Mathematical Society,
|c c2009.
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| 300 |
1 |
2 |
|a xiii, 252 p. :
|b ill. ;
|c 22 cm.
|
| 490 |
1 |
2 |
|a Student mathematical library ;
|v v. 50
|
| 504 |
1 |
2 |
|a Includes bibliographical references (p. 245-248) and index.
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| 505 |
1 |
2 |
|a 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 -- Jocobi'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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| 650 |
1 |
2 |
|a Calculus of variations
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| 650 |
1 |
2 |
|a Control theory
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| 650 |
1 |
2 |
|a Mathematical optimization
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| 952 |
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|a GrThPMO
|b 59b018446c5ad17d7e5ae33d
|c 952a
|d 9528
|e QA315.M46 2009
|t 7
|x m
|z Books
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