| 000 | 02408nam a22002897a 4500 | ||
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| 999 |
_c58627 _d58627 |
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| 005 | 20211220224356.0 | ||
| 008 | 211130b ||||| |||| 00| 0 eng d | ||
| 020 | _a9781470437398 | ||
| 028 |
_a:Variety Books Publishers & Distributors _b:B-10 Street No 2 West Vinod Nagar Delhi 110092 _c:IM2893 _d:25/11/2021 |
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| 082 | _a515.64 KOT | ||
| 100 | _aKot, Mark | ||
| 245 |
_aA First Course in the Calculus of Variations _c/ Mark Kot |
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| 260 |
_aNew Delhi _b:University Press _c2014 |
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| 300 |
_ax, 298 pages : illustrations _c; 22 cm. |
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| 365 | _b1305 | ||
| 490 | _aStudent mathematical library, v. 72. | ||
| 505 | _a Introduction -- The first variation -- Cases and examples -- Basic generalizations -- Constraints -- The second variation -- Review and preview -- The homogeneous problem -- Variable-endpoint conditions -- Broken extremals -- Strong variations -- Sufficient conditions. | ||
| 520 | _aThis book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding. Mark Kot teaches at the University of Washington, Seattle. WA. | ||
| 650 | _aMathematics | ||
| 650 | _aAnalysis | ||
| 650 | _aCalculus of variations -- Textbooks. | ||
| 650 | _aCalculus of variations -- Study and teaching (Higher) | ||
| 650 | _aCalculus of variations and optimal control; optimization -- Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 650 | _aCalculus of variations. | ||
| 700 | _aKot, Mark, | ||
| 942 | _cMDL | ||