Applications of Lie's Theory of Ordinary and Partial Differential Equations

Description

Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions. The theory has applications to both ordinary and partial differential equations and is not restricted to linear equations. Applications of Lie's Theory of Ordinary and Partial Differential Equations provides a concise, simple introduction to the application of Lie's theory to the solution of differential equations. The author emphasizes clarity and immediacy of understanding rather than encyclopedic completeness, rigor, and generality. This enables readers to quickly grasp the essentials and start applying the methods to find solutions. The book includes worked examples and problems from a wide range of scientific and engineering fields.

Review
This book gives a simple and direct introduction to the powerful methods of Lie for the solution of ordinary and partial differential equations. The author focuses on a small number of central topics and treats each one in an informal and leisurely manner. The topics covered include: one-parameter transformation groups; Lie's integrating factor for first-order ODE; reduction of second order ODE by one- and two-parameter groups; Noether's theorem; similarity and traveling wave solutions to PDE; and approximate methods. Each chapter contains an excellent selection of problems whose solutions are provided.
Ian Anderson (1-UTS; Logan, UT) -- Mathematical Reviews, Issue 2000e

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Applications of Lie's Theory of Ordinary and Partial Differential Equations" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 3377
2. Differential and Integral Inequalities: Theory and Applications, Vol. 1: Ordinary Differential Equations
3. Partial Differential Equations III: The Cauchy Problem. Qualitative Theory of Partial Differential Equations
4. Differential Equations: Linear, Nonlinear, Ordinary, Partial
5. The Numerical Solution of Ordinary and Partial Differential Equations
6. Differential Equations: Linear, Nonlinear, Ordinary, Partial
7. Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations
8. Ordinary and Partial Differential Equations: With Special Functions, Fourier Series, and Boundary Value Problems
9. [share_ebook] Differential equations: linear, nonlinear, partial, ordinary
10. Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems
11. Partial Differential Equations II: Elements of the Modern Theory, Equations With Constant Coefficients
12. Theory of Ordinary Differential Equations
13. Theory of Ordinary Differential Equations
14. Partial Differential Equations VII: Spectral Theory of Differential Operators
15. Ordinary Differential Equations in Theory and Practice
16. Symplectic Geometry and Quantum Mechanics (Operator Theory: Advances and Applications / Advances in Partial Differential Equations)