This book presents ordinary differential equations based on Lie group analysis and related invariance principles. The author provides students and teachers with a text for one-semester undergraduate and graduate courses that spans a variety of topics, from the basic theory through to applications. Series: Mathematical Methods in Practice S. Num Pages: 366 pages, notes. BIC Classification: PBG; PBKJ; PDE; TBJ. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 233 x 161 x 26. Weight in Grams: 686. . 1999. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland.

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Titel: Elementary Lie Group Analysis and Ordinary Differential Equations
Verlag: John Wiley and Sons Ltd
Erscheinungsjahr: 1999
Sprache: Englisch
ISBN-10: 0471974307
ISBN-13: 9780471974307
Einband: Hardcover
Zustand: New

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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.

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N. H. Ibragimov is the author of Elementary Lie Group Analysis and Ordinary Differential Equations, published by Wiley.

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