Aspects of Integrability of Differential Systems and Fields: A Mathematical Primer for Physicists: SpringerBriefs in Physics
Autor Costas J. Papachristouen Limba Engleză Paperback – 2 ian 2020
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.
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Specificații
ISBN-13: 9783030350017
ISBN-10: 3030350010
Pagini: 94
Ilustrații: VIII, 94 p. 20 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.17 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Physics
Locul publicării:Cham, Switzerland
ISBN-10: 3030350010
Pagini: 94
Ilustrații: VIII, 94 p. 20 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.17 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Physics
Locul publicării:Cham, Switzerland
Cuprins
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.
Notă biografică
Dr. Costas J. Papachristou is a senior faculty member at the Hellenic Naval Academy (The Naval Academy of Greece). He received a Ph.D. in Theoretical Physics from Brigham Young University, USA, and spent another year at BYU as a research faculty in Physics. At the HNA he teaches freshman- and sophomore-level Physics. His research interests are mainly in Theoretical and Mathematical Physics (in particular, symmetry and integrability properties of classical field equations, classical electromagnetism) but he is also active in Physics Education. He is an amateur musician and a columnist for Greek newspapers and magazines.
Caracteristici
Offers a simple introduction to the concept of integrability as this applies to both differential systems and vector-valued fields Contributes to the preparation of the intermediate-level physics student for advanced subjects Suitable for self-study, as well as useful as a tutorial companion in intermediate or advanced-level courses in physics, applied mathematics and engineering