Differential Equations And Their Applications: Analysis From A Physicist's Viewpoint

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
• | Publisher: WSPC
• | Publication Date: Jun 03, 2022
• | Number of Pages: 396 pages
• | Language: English
• | Binding: Hardcover/Mathematics
• | ISBN-10: 9811247455
• | ISBN-13: 9789811247453