Differential Equations and Their Applications: Analysis from a Physicist's Viewpoint

By Noboru Nakanishi and Seto Kenji

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.

• Format: Hardcover
• Language: English
• ISBN: 9811247455
• ISBN13: 9789811247453
• Release Date: April 2022
• Publisher: World Scientific Publishing Company
• Length: 396 Pages
• Weight: 1.53 lbs.
• Dimensions: 0.9" x 6.0" x 9.0"