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Aspects of integrability of differen...

Papachristou, Costas J.

Aspects of integrability of differential systems and fieldsa mathematical primer for physicists /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Aspects of integrability of differential systems and fieldsby Costas J. Papachristou.
Reminder of title:	a mathematical primer for physicists /
Author:	Papachristou, Costas J.
Published:	Cham :Springer International Publishing :2019.
Description:	viii, 94 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical physics.
Online resource:	https://doi.org/10.1007/978-3-030-35002-4
ISBN:	9783030350024$q(electronic bk.)

Aspects of integrability of differential systems and fieldsa mathematical primer for physicists /
Papachristou, Costas J.

Aspects of integrability of differential systems and fieldsa mathematical primer for physicists /[electronic resource] :by Costas J. Papachristou. - Cham :Springer International Publishing :2019. - viii, 94 p. :ill., digital ;24 cm. - SpringerBriefs in physics,2191-5423. - SpringerBriefs in physics..

Integrability on the plane and in space -- Integrability on the complex plane -- Ordinary differential equations -- Systems of ordinary differential equations -- Differential systems: Geometric viewpoint -- Integrable systems of partial differential equations.

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 Backlund 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.

ISBN: 9783030350024$q(electronic bk.)

Standard No.: 10.1007/978-3-030-35002-4doiSubjects--Topical Terms:

190854
Mathematical physics.

LC Class. No.: QC20.7.D5 / P37 2019

Dewey Class. No.: 530.15535

Aspects of integrability of differential systems and fieldsa mathematical primer for physicists /
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300 $a viii, 94 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in physics, $x 2191-5423
505 0 $a Integrability on the plane and in space -- Integrability on the complex plane -- Ordinary differential equations -- Systems of ordinary differential equations -- Differential systems: Geometric viewpoint -- Integrable systems of partial differential equations.
520 $a 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 Backlund 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.
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