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Calculus of Variations II
The Hamiltonian Formalism
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Více o knize
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.
Nákup knihy
Calculus of Variations II, Mariano Giaquinta, Stefan Hildebrandt
- Jazyk
- Rok vydání
- 2010
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Doručení
Platební metody
2021 2022 2023
Navrhnout úpravu
- Titul
- Calculus of Variations II
- Podtitul
- The Hamiltonian Formalism
- Jazyk
- anglicky
- Autoři
- Mariano Giaquinta, Stefan Hildebrandt
- Vydavatel
- Springer Berlin Heidelberg
- Rok vydání
- 2010
- Vazba
- měkká
- Počet stran
- 684
- ISBN13
- 9783642081927
- Kategorie
- Matematika, Příroda všeobecně
- Anotace
- 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.