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Cambridge University Press Cambridge Calculus of Variations - Advanced Mathematics Textbook

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Description

Explore the fundamental and modern aspects of the calculus of variations with this comprehensive textbook from Cambridge University Press. Part of the Cambridge Studies in Advanced Mathematics series, this volume guides readers from basic one-dimensional problems to complex modern theories. Coverage includes classical issues such as Euler-Lagrange equations, Noether's theorem, and Hamilton-Jacobi theory. The text also examines geodesic lines to develop geometric and topological aspects, while providing essential ideas for optimal control theory. The second half of the book transitions into multiple integrals, offering a detailed review of Lebesgue integration, Banach and Hilbert space theory, and Sobolev spaces with complete proofs. This is a rigorous resource for students and professionals studying mathematical analysis and differential equations.

Key Features

This Cambridge University Press textbook covers the progression from basic calculus of variations to modern mathematical theories.

The text provides detailed instruction on one-dimensional problems, Euler-Lagrange equations, Noether's theorem, and Hamilton-Jacobi theory.

Readers can study geodesic lines to understand important geometric and topological aspects of the subject.

The book includes foundational concepts regarding optimal control theory for advanced mathematical study.

The second part focuses on multiple integrals and provides complete, detailed proofs for Lebesgue integration, Banach and Hilbert space theory, and Sobolev spaces.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
27 March 2008
Listed Since
13 November 2007

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