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.

Product details

• Authors: Kenji Seto, Noboru Nakanishi, Nakanishi Noboru, Noboru Nakanishi, Noboru Nakanishi & Kenji Seto, Kenji Seto
• Publisher: Ingram Publishers Services
• Languages: English
• Product format: Hardback
• Released: 31.05.2022
• EAN: 9789811247453
• ISBN: 978-981-1247-45-3
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Differential Equations / General, Differential calculus & equations, Differential calculus and equations