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Beskrivning
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. (b) integration of a system of ordinary differential equations by using first integrals;
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.
Innehållsförteckning
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.