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Calculus of Variations I

The Lagrangian Formalism

Parametri

Pagine
508pagine
Tempo di lettura
18ore

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The book explores classical variational calculus, appealing to analysts, geometers, and physicists. Volume 1 focuses on the formal framework and nonparametric field theory, while Volume 2 covers parametric variational problems, Hamilton-Jacobi theory, and first-order partial differential equations. It emphasizes inner variations, revealing insights like monotonicity formulas and conservation laws, particularly through Emmy Noether's principles. Additionally, it examines Legendre-Jacobi theory, one-dimensional field theory, and the role of convexity in variational calculus, highlighting the concept of null Lagrangians.

Acquisto del libro

Calculus of Variations I, Mariano Giaquinta, Stefan Hildebrandt

Lingua
Pubblicato
2010
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