Similarity Methods for Differential Equations

Name: Similarity Methods for Differential Equations
Brand: Springer-Verlag New York Inc.
SKU: 9780387901077
Price: 276.48 RON
Availability: InStock

Autor: G.W. Bluman, J.D. Cole

Limbă:

Legare: Carte broșată

Editura: Springer-Verlag New York Inc.

Disponibilitate: În depozitul extern

Expediem în 5-8 zile

276.48 lei

The aim of this book is to provide a systematic and practical account of methods of integration of o...

Informații despre carte

Autor

G.W. Bluman, J.D. Cole

Limbă

engleză

Legare

Carte - Carte broșată

Pagini

333

EAN

9780387901077

ISBN

0387901078

Enbook ID

01383461

Editura

Springer-Verlag New York Inc.

Greutate

620

Dimensiuni

244 x 170 x 25

Descriere completă

The aim of this book is to provide a systematic and practical account of methods of integration of ordinary and partial differential equations based on invariance under continuous (Lie) groups of trans formations. The goal of these methods is the expression of a solution in terms of quadrature in the case of ordinary differential equations of first order and a reduction in order for higher order equations. For partial differential equations at least a reduction in the number of independent variables is sought and in favorable cases a reduction to ordinary differential equations with special solutions or quadrature. In the last century, approximately one hundred years ago, Sophus Lie tried to construct a general integration theory, in the above sense, for ordinary differential equations. Following Abel's approach for algebraic equations he studied the invariance of ordinary differential equations under transformations. In particular, Lie introduced the study of continuous groups of transformations of ordinary differential equations, based on the infinitesimal properties of the group. In a sense the theory was completely successful. It was shown how for a first-order differential equation the knowledge of a group leads immediately to quadrature, and for a higher order equation (or system) to a reduction in order. In another sense this theory is somewhat disappointing in that for a first-order differ ential equation essentially no systematic way can be given for finding the groups or showing that they do not exist for a first-order differential equation.

S-ar putea să te intereseze

Clienții care au cumpărat această carte au mai cumpărat și

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Cele mai căutate

Categories

Authors

Publishers

Produse

Produse

Similarity Methods for Differential Equations

Informații despre carte

Descriere completă

S-ar putea să te intereseze

Clienții care au cumpărat această carte au mai cumpărat și