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Symmetries and Conservation Laws for Differential Equations

Differential Equations

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Description

Explore the geometric approach to nonlinear partial differential equations with this comprehensive mathematical text. This volume provides a deep look into the theory of symmetries and conservation laws, bridging the gap between rigorous mathematical theory and practical application through concrete examples. Designed for students and researchers, the book covers essential topics including nonlocal symmetries and the cohomological theory of conservation laws. The content is structured to be largely self-contained, making it an accessible resource for those studying mathematical physics and differential equations. Each chapter includes detailed motivations, extensive exercises, and careful proofs for all results. This approach ensures that readers can follow complex mathematical arguments while gaining a solid understanding of the underlying principles. Whether you are looking to master nonlinear PDEs or explore advanced symmetry theory, this monograph provides the necessary foundation and academic depth.

Key Features

Covers the geometric approach to nonlinear partial differential equations (PDEs) for advanced mathematical study.

Includes specialized topics such as the theory of nonlocal symmetries and cohomological theory of conservation laws.

Combines rigorous mathematical proofs with concrete examples to help clarify complex theoretical concepts.

Provides a self-contained learning experience with detailed motivations and extensive exercises for practice.

Offers careful proofs of all results to support deep academic understanding and research accuracy.

Product Specifications

Format: hardcover
ASIN: 082180958X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 15 January 1999
Listed Since: 17 October 2006

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Symmetries and Conservation Laws for Differential Equations

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