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Cambridge University Press Cambridge Lie's Structural Approach to PDE Systems - Math Book

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Description

Explore the differential geometric study of partial differential equations with this comprehensive text from Cambridge University Press. As part of the Encyclopedia of Mathematics and its Applications (Series Number 80), this book offers a lucid introduction to complex mathematical systems. This work is notable for being the first to present substantial results on the local solvability of general and nonlinear PDE systems without relying on power series techniques. By utilizing a general approach based on the foundational ideas of Lie, Cartan, and Vessiot, readers can gain a deeper understanding of mathematical structures. Beyond addressing the fundamental question of local solvability, the methods presented in this volume allow for the classification of various families of PDE systems. It serves as a high-level reference for those studying advanced mathematics and the geometric methods used to solve complex equations.

Key Features

Provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations.

Offers a unique approach to local solvability for general and nonlinear PDE systems without using power series techniques.

Utilizes established mathematical ideas developed by Lie, Cartan, and Vessiot to study systems of equations.

Includes methods used to achieve classifications of various families of PDE systems.

Part of the prestigious Encyclopedia of Mathematics and its Applications series from Cambridge University Press.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
15 June 2000
Listed Since
03 January 2007

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