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Book synopsis

Symmetry analysis has played a crucial role in the construction of exact solutions to differential equations. In fact, all the standard techniques for solving first order ordinary differential equations (ODEs) can be explained by symmetry analysis. The usefulness of symmetry analysis is readily evident, and the beauty of the method is that it is both fairly easy to learn and is very algorithmic, making it amenable to a variety of computer algebra packages such as Maple(t); or Mathematica(R). Symmetry Analysis of Differential Equations: An Introduction fills a gap in the literature by providing introductory coverage of both ODEs and partial differential equations (PDEs), explores select advanced topics, and contains platiful problems with complete solutions. Chapter coverages includes: ordinary differential equations with Lie's invariance condition, standard integration techniques, infinitesimal operator and higher order equations, second order questions, and ODE systems; partial differential equations with first and second order equations, systems of PDEs, higher dimensional PDEs, and nonclassical symmetries; and compatibility with nonclassical symmetry analysis and first order compatibility.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Symmetry Analysis of Differential Equations - An Introduction
• Author: Daniel J. Arrigo
• Language: English
• Binding: Hardback
• Number of pages: 192
• EAN: 9781118721407
• ISBN: 1118721403
• ID: 04952322
• Publisher: John Wiley & Sons Inc
• Weight: 442 g
• Dimensions: 243 × 164 × 18 mm
• Date of publishing: 13. February 2015

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