Differential Equations And Their Applications

Analysis From A Physicist's Viewpoint

By: Kenji Seto, Noboru Nakanishi

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Hardcover | 6 May 2022

At a Glance

Hardcover
396 Pages

Dimensions(cm)
15.9 x 23.7 x 3.0

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$161.70

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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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