Exterior Differential Systems and Euler-Lagrange Partial Differential Equations (Chicago Lectures in pdf epub mobi txt 电子书下载 2024

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Phillip Griffiths

University Of Chicago Press

2003-07-01

216

USD 48.00

Hardcover

Chicago Lectures in Mathematics

9780226077932

图书标签: 其余方程7

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发表于2024-11-26

Exterior Differential Systems and Euler-Lagrange Partial Differential Equations (Chicago Lectures in epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Exterior Differential Systems and Euler-Lagrange Partial Differential Equations (Chicago Lectures in pdf epub mobi txt 电子书下载 2024

图书描述

In "Exterior Differential Systems", the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study, because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on the classification and application of symmetries and conservation laws. The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws. This synthesis of partial differential equations and differential geometry should be of fundamental importance to both students and experienced researchers working in geometric analysis - a subject that has been central in mathematics worldwide for the last 30 years.

Exterior Differential Systems and Euler-Lagrange Partial Differential Equations (Chicago Lectures in 下载 mobi epub pdf txt 电子书