ABSTRACT

Written by an engineer and sharply focused on practical matters, Solution of Ordinary Differential Equations by Continuous Groups explores the application of Lie groups to the solution of ordinary differential equations. The author's unique approach treats first- and second-order equations rather like integrals, through the use of extensive tables. The book is replete with exercises and fully worked examples, and it offers a number of new techniques published here for the first time. This singular, user-friendly text provides scientists and engineers with easy access to closed form solutions to nonlinear first- and second-order differential equations.

part I|36 pages

Background

chapter Chapter 1|4 pages

Introduction

chapter Chapter 2|12 pages

Continuous One-Parameter Groups-I

chapter Chapter 3|8 pages

Method of Characteristics

chapter Chapter 4|10 pages

Continuous One-Parameter Groups-II

part II|106 pages

Ordinary Differential Equations

chapter Chapter 5|42 pages

First-Order ODEs