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Costas J.
Aspects of Integrability of Differential Systems and Fields
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3328667Aspects of Integrability of Differential Systems and Fieldshttps://www.gandhi.com.mx/aspects-of-integrability-of-differential-systems-and-fields-9783030350024/phttps://gandhi.vtexassets.com/arquivos/ids/2367871/4188b749-c6d6-4a33-9423-e19c7d3ad99e.jpg?v=6383838801982000009621069MXNSpringer International PublishingInStock/Ebooks/<p>This book serves as an introduction to the concept of <em>integrability</em> as it applies to systems of differential equations as well as to vector-valued fields.</p><p>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: (<em>a</em>) path-independence of line integrals of vector fields on the plane and in space; (<em>b</em>) integration of a system of ordinary differential equations by using first integrals; and (<em>c</em>) 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 Bcklund transformations, are also discussed.</p><p>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.</p>...3264459Aspects of Integrability of Differential Systems and Fields9621069https://www.gandhi.com.mx/aspects-of-integrability-of-differential-systems-and-fields-9783030350024/phttps://gandhi.vtexassets.com/arquivos/ids/2367871/4188b749-c6d6-4a33-9423-e19c7d3ad99e.jpg?v=638383880198200000InStockMXN99999DIEbook20209783030350024_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9783030350024_<p>This book serves as an introduction to the concept of <em>integrability</em> as it applies to systems of differential equations as well as to vector-valued fields.</p><p>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: (<em>a</em>) path-independence of line integrals of vector fields on the plane and in space; (<em>b</em>) integration of a system of ordinary differential equations by using first integrals; and (<em>c</em>) 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 Bcklund transformations, are also discussed.</p><p>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.</p>9783030350024_Springer International Publishinglibro_electonico_007b6915-0faf-3bc5-b8d6-baa209612f63_9783030350024;9783030350024_9783030350024Costas J.InglésMéxico2020-01-01T00:00:00+00:00Springer International Publishing