Aspects of Integrability of Differential Systems and Fields

A Mathematical Primer for Physicists de

Éditeur :

Springer


Collection :

SpringerBriefs in Physics

Paru le : 2020-01-01

eBook Téléchargement , DRM LCP 🛈 DRM Adobe 🛈
Lecture en ligne (streaming)
52,74

Téléchargement immédiat
Dès validation de votre commande
Image Louise Reader présentation

Louise Reader

Lisez ce titre sur l'application Louise Reader.

Description

This book serves as an introduction to the concept of integrability as it applies to systems of differential equations as well as to vector-valued fields.
The author focuses on specific aspects of integrability that are often encountered in a variety of problems in applied mathematics, physics and engineering. The following general cases of integrability are examined: (a) path-independence of line integrals of vector fields on the plane and in space; (b) integration of a system of ordinary differential equations by using first integrals; and (c) integrable systems of partial differential equations. Special topics include the integration of analytic functions and some elements from the geometric theory of differential systems. Certain more advanced subjects, such as Lax pairs and Bäcklund transformations, are also discussed.

The book is written at an intermediate level for educational purposes. The presentation is as simple as the topics allow, often sacrificing mathematical rigor in favor of pedagogical efficiency.
Pages
94 pages
Collection
SpringerBriefs in Physics
Parution
2020-01-01
Marque
Springer
EAN papier
9783030350017
EAN PDF
9783030350024

Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
9
Taille du fichier
1946 Ko
Prix
52,74 €
EAN EPUB
9783030350024

Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
9
Taille du fichier
3881 Ko
Prix
52,74 €