An Introduction to the Calculus of Variations (Dover Books on Mathematics)
Language: English
Published by Dover Publications, 2010
- Softcover
- Used
Softcover
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350 pages. Signatured. Fine.
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- Title
- An Introduction to the Calculus of Variations (Dover Books on Mathematics)
- Author
- Pars, L.A.
- Publisher
- Dover Publications
- Publication year
- 2010
- Condition
- Fine
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0486474208
- ISBN 13
- 9780486474205
- Item weight
- 386 grams
- Dimensions
- 13.97 centimeters width by 20.96 centimeters height by 1.91 centimeters depth
This clear, rigorous introduction to the calculus of variations covers applications to geometry, dynamics, and physics. Focusing upon problems with one independent variable, the text connects the abstract theory to its use in concrete problems. It offers a working knowledge of relevant techniques, plus an impetus for further study.
Starting with an overview of fundamental problems and theories, the text advances to illustrative examples and examinations of variable end-points and the fundamental sufficiency theorem. Subsequent chapters explore the isoperimetrical problem, curves in space, the problem of Lagrange, and the parametric problem. The final chapter is devoted to multiple integrals, with a particular focus on Dirichlet's principle. Suitable for advanced undergraduate and graduate students, this text requires a background in mathematical analysis.
Starting with an overview of fundamental problems and theories, the text advances to illustrative examples and examinations of variable end-points and the fundamental sufficiency theorem. Subsequent chapters explore the isoperimetrical problem, curves in space, the problem of Lagrange, and the parametric problem. The final chapter is devoted to multiple integrals, with a particular focus on Dirichlet's principle. Suitable for advanced undergraduate and graduate students, this text requires a background in mathematical analysis.
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