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关键词:
Differential Equations and Their Applications
书目信息
ISBN:
9789811247460
本馆索书号:
中图分类号:
O1
中文译名:
微分方程及其应用:从物理学家的角度分析
作者:
Nakanishi Noboru
编者:
语种:
英语
出版信息
出版社:
WSPC
出版地:
出版年:
2022
版本:
版本类型:
原版
丛书题名:
卷期:
文献信息
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摘要:
内容简介:
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.
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