Group Analysis of Differential Equations By: L. V. Ovsiannikov Publisher: Academic Press Print ISBN: 9780125316804, 0125316801 eText ISBN: 9781483219066, 1483219062 Copyright year: 1982 Format: PDF Available from $ 72.95 USD SKU: 9781483219066 Group Analysis of Differential Equations provides a systematic exposition of the theory of Lie groups and Lie algebras and its application to creating algorithms for solving the problems of the group analysis of differential equations. This text is organized into eight chapters. Chapters I to III describe the one-parameter group with its tangential field of vectors. The nonstandard treatment of the Banach Lie groups is reviewed in Chapter IV, including a discussion of the complete theory of Lie group transformations. Chapters V and VI cover the construction of partial solution classes for the given differential equation with a known admitted group. The theory of differential invariants that is developed on an infinitesimal basis is elaborated in Chapter VII. The last chapter outlines the ways in which the methods of group analysis are used in special issues involving differential equations. This publication is a good source for students and specialists concerned with areas in which ordinary and partial differential equations play an important role. SKU: 9780125316804 Ebooks here: https://ebookscoffee.sellpass.io/products/Group-Analysis-of-Differential-Equations
