Differential Equations and Their Applications: Analysis from a Physicist's Viewpoint (Hardcover) (ISBN-13: 9789811247453)

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
ISBN-10: 9811247455
ISBN-13: 9789811247453
Publisher: World Scientific Publishing Company
Language: English
Published: 06/03/2022
Pages: 396
Format: Hardcover
Weight: 1.53lbs
Size: 9.00h x 6.00w x 0.88d