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Aspects of integrability of differen...

Papachristou, Costas J.

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Aspects of integrability of differential systems and fields = a mathematical primer for physicists /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Aspects of integrability of differential systems and fields/ by Costas J. Papachristou.
其他題名:	a mathematical primer for physicists /
作者:	Papachristou, Costas J.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	viii, 94 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Mathematical physics. -
電子資源:	https://doi.org/10.1007/978-3-030-35002-4
ISBN:	9783030350024

Aspects of integrability of differential systems and fields = a 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

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

516853
Mathematical physics.

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

Dewey Class. No.: 530.15535

Aspects of integrability of differential systems and fields = a mathematical primer for physicists /
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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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