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

1. Auflage 2018
ISBN: 978-1-138-44209-2
Verlag: Taylor & Francis Ltd

Buch, Englisch, 240 Seiten, Format (B × H): 138 mm x 216 mm, Gewicht: 440 g

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.

Zielgruppe

Professional

Autoren/Hrsg.

Dresner, Lawrence

Dresner, L

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Conventions used in this book. One-parameter groups. First-order ordinary differential equations. Second-order ordinary differential equations. Similarity solutions of partial differential equations. Traveling-wave solutions. Approximate methods. Epilogue. Appendices. Solutions to the problems. References. Symbols and their definitions.

Über Autor(innen)

L Dresner