An Introduction to the Lie Theory of One-Parameter Groups: With Applications to the Solution of Differential Equations (Classic Reprint) - Hardcover

Abraham Cohen

9780265580011: An Introduction to the Lie Theory of One-Parameter Groups: With Applications to the Solution of Differential Equations (Classic Reprint)

Hardcover

ISBN 10: 0265580013 ISBN 13: 9780265580011

Publisher: Forgotten Books, 2018

View all copies of this ISBN edition

0 Used

2 New

From US$ 44.11

Explore how simple, continuous symmetries unlock the solutions to differential equations.

This classic introduction presents Lie’s theory of one‑parameter groups and shows how these groups unify and illuminate the elementary methods for solving differential equations. The text emphasizes practical use for readers with some background in the basics, guiding you toward a coherent framework with wide applications.

Structured to build understanding, it connects transformations, infinitesimal actions, invariants, and solution methods. It also highlights concrete lists of invariant equations, handy tables in the appendix, and a concise collection of examples to illustrate the concepts without overwhelming detail.

Learn how one‑parameter groups act on variables and transform differential equations
Discover invariants and canonical forms that simplify solving many equations
See how Lie’s approach unifies various classes of differential equations
Explore practical tables and examples included to reinforce the methods

Ideal for readers of a first rigorous look at symmetry methods in differential equations and for students seeking a grounded, application‑oriented introduction.

"synopsis" may belong to another edition of this title.