Title Aspects of Integrability of Differential Systems and Fields : A Mathematical Primer for Physicists Author(s) Papachristou, Costas J Publication Cham, Springer International Publishing, 2019. Description VIII, 94 p. 20 illus : online resource Abstract Note 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 ISBN,Price 9783030350024 Keyword(s) 1. DIFFERENTIAL EQUATIONS 2. EBOOK 3. EBOOK - SPRINGER 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. ORDINARY DIFFERENTIAL EQUATIONS 7. PARTIAL DIFFERENTIAL EQUATIONS 8. PHYSICS Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I09485     On Shelf