Differential Equations and Their Applications

This book is written for students and researchers who are fond of mathematics and the natural sciences. It consists of two parts. Part I presents the theory of analysis in which the mathematical theory is described not as an accomplished palace, but as a building under construction. It uncovers how a theory has been or is being constructed. In Part II, the theory of differential equations is applied to interesting practical problems, such as pursuit-line and tractrix, attack on an object from an airplane, an insect crawling along a stretching rubber rod, the SIR model of a virus infection, string vibration, circular membrane vibration, as well as the wind ripple, sand dune and wave phenomena on a highway. Furthermore, the problems of a one-dimensional lattice vibration, the keyboard percussion vibration and the eigenvalue problems in quantum mechanics, such as the Aharonov-Bohm effect, are also investigated in detail.

Author: Noboru Nakanishi & Kenji Seto
Binding Type: Hardcover
Publisher: World Scientific Publishing Company
Published: 05/06/2022
Pages: 396
Weight: 1.53lbs
Size: 9.00h x 6.00w x 0.88d
ISBN: 9789811247453