Description

Book Synopsis
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.

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

Table of Contents
Introduction to Differential Equations.

Transformation Groups.

Lie Group Analysis of Ordinary Differential Equations.

Brief on Lie Algebras.

First Order Differential Equations.

Integration of Second Order Equations.

Basic Theory of Linear Equations.

Nonlinear Second Order Equations.

Integration of Third Order Equations.

Nonlinear Superposition Principle.

Index.

Elementary Lie Group Analysis and Ordinary

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    A Hardback by N. H. Ibragimov

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      Book details

      Publisher John Wiley & Sons Inc
      Published 25 February 1999
      ISBN-13 9780471974307
      978-0471974307
      ISBN-10 0471974307
      Also in:
      Mathematics Groups and group theory Maths for engineers

      Description

      Book Synopsis
      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.

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

      Table of Contents
      Introduction to Differential Equations.

      Transformation Groups.

      Lie Group Analysis of Ordinary Differential Equations.

      Brief on Lie Algebras.

      First Order Differential Equations.

      Integration of Second Order Equations.

      Basic Theory of Linear Equations.

      Nonlinear Second Order Equations.

      Integration of Third Order Equations.

      Nonlinear Superposition Principle.

      Index.

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