Ordinary Differential Equations: With an Introduction to Lie's Theory of the Group of One Parameter (Classic Reprint) - Hardcover

James Morris Page

Hardcover

ISBN 10: 0266159060 ISBN 13: 9780266159063

Publisher: Forgotten Books, 2018

Synopsis

Master the methods for solving complex differential systems with clear, practical guidance.

This edition of Ordinary Differential Equations: With an Introduction to Lie's Theory of the Group of One Parameter offers practical techniques to reduce multiple equations to a single differential equation and extract general integrals. Learn how to apply these ideas to both linear systems and more advanced cases, with attention to the underlying ideas behind integrating factors and invariance.

Two short paragraphs frame the scope and value, helping you connect theory to problems. You’ll see how concepts like parallel and isothermal curves, orthogonal trajectories, and the role of symmetry translate into concrete steps you can follow, with examples and explanations designed for quick comprehension.

• How to reduce a system of first-order equations to a single higher-order equation and obtain its general integral.
• Techniques for isothermal and parallel curve families, and how to find common integrating factors.
• Approaches to orthogonal trajectories and their practical computations from given curve families.
• Worked examples of linear systems with constant coefficients and higher-order cases, including differential equations in several variables.

Ideal for readers who want a solid, application-focused introduction to differential equations and the beginnings of Lie theory.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0266159060
• ISBN 13: 9780266159063
• Binding: Hardcover
• Number of pages: 250