Elementary Lie Group Analysis and Ordinary Differential Equations

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9780471974307: Elementary Lie Group Analysis and Ordinary Differential Equations
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Lie group analysis, based on symmetry and invariance principles, isthe only systematic method for solving nonlinear differentialequations analytically. One of Lie's striking achievements was thediscovery that the majority of classical devices for integration ofspecial types of ordinary differential equations could be explainedand deduced by his theory. Moreover, this theory provides auniversal tool for tackling considerable numbers of differentialequations when other means of integration fail.
* This is the first modern text on ordinary differential equationswhere the basic integration methods are derived from Lie grouptheory
* Includes a concise and self contained introduction todifferential equations
* Easy to follow and comprehensive introduction to Lie groupanalysis
* The methods described in this book have many applications
The author provides students and their teachers with a flexibletext for undergraduate and postgraduate courses, spanning a varietyof topics from the basic theory through to its many applications.The philosophy of Lie groups has become an essential part of themathematical culture for anyone investigating mathematical modelsof physical, engineering and natural problems.

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"...this is the first self-contained university text on ordinary differential equations..." (Zentralblatt Math, Vol.1047, No.22, 2004)

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Book Description John Wiley and Sons Ltd, United Kingdom, 1999. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. Lie group analysis, based on symmetry and invariance principles, is the only systematic method for solving nonlinear differential equations analytically. One of Lie's striking achievements was the discovery that the majority of classical devices for integration of special types of ordinary differential equations could be explained and deduced by his theory. Moreover, this theory provides a universal tool for tackling considerable numbers of differential equations when other means of integration fail. This is the first modern text on ordinary differential equations where the basic integration methods are derived from Lie group theory Includes a concise and self contained introduction to differential equations Easy to follow and comprehensive introduction to Lie group analysis The methods described in this book have many applications The author provides students and their teachers with a flexible text for undergraduate and postgraduate courses, spanning a variety of topics from the basic theory through to its many applications.The philosophy of Lie groups has become an essential part of the mathematical culture for anyone investigating mathematical models of physical, engineering and natural problems. Seller Inventory # AAH9780471974307

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Nail H. Ibragimov
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Book Description John Wiley and Sons Ltd, United Kingdom, 1999. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. Lie group analysis, based on symmetry and invariance principles, is the only systematic method for solving nonlinear differential equations analytically. One of Lie's striking achievements was the discovery that the majority of classical devices for integration of special types of ordinary differential equations could be explained and deduced by his theory. Moreover, this theory provides a universal tool for tackling considerable numbers of differential equations when other means of integration fail. This is the first modern text on ordinary differential equations where the basic integration methods are derived from Lie group theory Includes a concise and self contained introduction to differential equations Easy to follow and comprehensive introduction to Lie group analysis The methods described in this book have many applications The author provides students and their teachers with a flexible text for undergraduate and postgraduate courses, spanning a variety of topics from the basic theory through to its many applications.The philosophy of Lie groups has become an essential part of the mathematical culture for anyone investigating mathematical models of physical, engineering and natural problems. Seller Inventory # AAH9780471974307

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