Read Aspects of Integrability of Differential Systems and Fields: A Mathematical Primer for Physicists

Aspects of Integrability of Differential Systems and Fields: A Mathematical Primer for Physicists

Costas J Papachristou

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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 B�cklund 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Aspects of Integrability of Differential Systems and Fields: A Mathematical Primer for Physicists. To get started finding Aspects of Integrability of Differential Systems and Fields: A Mathematical Primer for Physicists, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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ISBN: 3030350010

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 B�cklund 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Aspects of Integrability of Differential Systems and Fields: A Mathematical Primer for Physicists. To get started finding Aspects of Integrability of Differential Systems and Fields: A Mathematical Primer for Physicists, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Aspects of Integrability of Differential Systems and Fields: A Mathematical Primer for Physicists

Aspects of Integrability of Differential Systems and Fields: A Mathematical Primer for Physicists

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