Name: Calculus of Variations Hardback (Cambridge Studies in Advanced Mathematics) (en Inglés)
Price: 140840.00 CLP
Availability: InStock
Author: Jost, Jürgen ; Li-Jost, Xianqing
ISBN: 9780521642033

portada Calculus of Variations Hardback (Cambridge Studies in Advanced Mathematics) (en Inglés)

Formato

Libro Físico

Autor

Jürgen Jost

Xianqing Li-Jost

Editorial

Cambridge University Press

Año

1999

Idioma

Inglés

N° páginas

340

Encuadernación

Tapa Dura

Dimensiones

23.8 x 15.8 x 2.7 cm

Peso

0.68 kg.

ISBN

0521642035

ISBN13

9780521642033

N° edición

Categorías

Cálculo
Probabilidad y estadística

Calculus of Variations Hardback (Cambridge Studies in Advanced Mathematics) (en Inglés)

Jürgen Jost (Autor) · Xianqing Li-Jost (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Calculus of Variations Hardback (Cambridge Studies in Advanced Mathematics) (en Inglés)"

This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues such as Euler-Lagrange equations are treated, as are Noether's theorem, Hamilton-Jacobi theory, and in particular geodesic lines, thereby developing some important geometric and topological aspects. The basic ideas of optimal control theory are also given. The second part of the book deals with multiple integrals. After a review of Lebesgue integration, Banach and Hilbert space theory and Sobolev spaces (with complete and detailed proofs), there is a treatment of the direct methods and the fundamental lower semicontinuity theorems. Subsequent chapters introduce the basic concepts of the modern calculus of variations, namely relaxation, Gamma convergence, bifurcation theory and minimax methods based on the Palais-Smale condition. The prerequisites are knowledge of the basic results from calculus of one and several variables. After having studied this book, the reader will be well equipped to read research papers in the calculus of variations.