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Calculus of Variations II
The Hamiltonian Formalism
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Focusing on the classical variational calculus, this book serves as a comprehensive resource for analysts, geometers, and physicists. Volume 1 introduces the foundational concepts and nonparametric field theory, while Volume 2 explores parametric variational problems, Hamilton-Jacobi theory, and first-order partial differential equations. Unique emphasis is placed on inner variations, leading to insights on conservation laws and symmetries, particularly through Emmy Noether's principles. Additionally, it covers Legendre-Jacobi theory, one-dimensional field theory, and the application of convexity in variational calculus.
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Calculus of Variations II, Mariano Giaquinta, Stefan Hildebrandt
- Language
- Released
- 2010
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- Title
- Calculus of Variations II
- Subtitle
- The Hamiltonian Formalism
- Language
- English
- Authors
- Mariano Giaquinta, Stefan Hildebrandt
- Publisher
- Springer Berlin Heidelberg
- Released
- 2010
- Format
- Paperback
- Pages
- 684
- ISBN13
- 9783642081927
- Category
- Mathematics, Nature in general
- Description
- Focusing on the classical variational calculus, this book serves as a comprehensive resource for analysts, geometers, and physicists. Volume 1 introduces the foundational concepts and nonparametric field theory, while Volume 2 explores parametric variational problems, Hamilton-Jacobi theory, and first-order partial differential equations. Unique emphasis is placed on inner variations, leading to insights on conservation laws and symmetries, particularly through Emmy Noether's principles. Additionally, it covers Legendre-Jacobi theory, one-dimensional field theory, and the application of convexity in variational calculus.