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101 0 $aeng
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200 10$aAspects of Integrability of Differential Systems and Fields $eA Mathematical Primer for Physicists /$fby Costas J. Papachristou
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (101 pages)
225 1 $aSpringerBriefs in Physics,$x2191-5423
311   $a3-030-35001-0 
320   $aIncludes bibliographical references and index.
327   $aIntegrability 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.
330   $aThis book serves as an introduction to the concept of integrability as it applies to systems of differential equations as well as to vector-valued fields. The author focuses on specific aspects of integrability that are often encountered in a variety of problems in applied mathematics, physics and engineering. The following general cases of integrability are examined: (a) path-independence of line integrals of vector fields on the plane and in space; (b) integration of a system of ordinary differential equations by using first integrals; and (c) integrable systems of partial differential equations. Special topics include the integration of analytic functions and some elements from the geometric theory of differential systems. Certain more advanced subjects, such as Lax pairs and Bäcklund transformations, are also discussed. The book is written at an intermediate level for educational purposes. The presentation is as simple as the topics allow, often sacrificing mathematical rigor in favor of pedagogical efficiency.
410  0$aSpringerBriefs in Physics,$x2191-5423
606   $aPhysics
606   $aMathematical physics
606   $aDifferential equations
606   $aPartial differential equations
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aPhysics.
615  0$aMathematical physics.
615  0$aDifferential equations.
615  0$aPartial differential equations.
615 14$aMathematical Methods in Physics.
615 24$aMathematical Physics.
615 24$aOrdinary Differential Equations.
615 24$aPartial Differential Equations.
676   $a515.45
700   $aPapachristou$b Costas J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0843154
906   $aBOOK
912   $a9910736995903321
996   $aAspects of Integrability of Differential Systems and Fields$92530731
997   $aUNINA