One-dimensional variational problems are often neglected in favor of problems which use multiple integrals and partial differential equations, which are typically more difficult to handle. However, these problems and their associated ordinary differential equations do exhibit many of the same challenges and complexity of higher-dimensional problems, while being accessible to more students. This book for graduate students provides the first modern introduction to this subject. It emphasizes direct methods and provides an ...
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One-dimensional variational problems are often neglected in favor of problems which use multiple integrals and partial differential equations, which are typically more difficult to handle. However, these problems and their associated ordinary differential equations do exhibit many of the same challenges and complexity of higher-dimensional problems, while being accessible to more students. This book for graduate students provides the first modern introduction to this subject. It emphasizes direct methods and provides an exceptionally clear view of the underlying theory. Except for standard material on measures, integration and convex functions, the book develops all of the necessary mathematical tools, including basic results for one-dimensional Sobolev spaces, absolutely continuous functions, and functions of bounded variation.
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New. Sewn binding. Cloth over boards. 270 p. Contains: Unspecified. Oxford Lecture Mathematics and Its Applications, 15. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. An introduction to the calculus of variations. By focusing on the one-dimensional case, the text remains relatively free of technicalities, and aims to provide a useful overview of the theory at a level suitable for graduate students. Series: Oxford Lecture Series in Mathematics & Its Applications. Num Pages: 270 pages, 17 line figures. BIC Classification: PBKJ; PBKQ; PBW; PHDD. Category: (P) Professional & Vocational. Dimension: 241 x 162 x 21. Weight in Grams: 548. 1999. Hardback.....We ship daily from our Bookshop.
