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Elementary Lie Group Analysis and Ordinary Differential Equations (en Inglés)
N. H. Ibragimov (Autor)
·
Wiley
· Tapa Dura
Elementary Lie Group Analysis and Ordinary Differential Equations (en Inglés) - N. H. Ibragimov
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Origen: Reino Unido
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Reseña del libro "Elementary Lie Group Analysis and Ordinary Differential Equations (en Inglés)"
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 applicationsThe 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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