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Calculus of Variations II
The Hamiltonian Formalism
Autori
Viac o knihe
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 vydania
- 2010
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- Titul
- Calculus of Variations II
- Podtitul
- The Hamiltonian Formalism
- Jazyk
- anglicky
- Autori
- Mariano Giaquinta, Stefan Hildebrandt
- Vydavateľ
- Springer Berlin Heidelberg
- Rok vydania
- 2010
- Väzba
- mäkká
- Počet strán
- 684
- ISBN13
- 9783642081927
- Kategórie
- Matematika, Príroda všeobecne
- Anotácia
- 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.