Differential Equations And Their Applications: Analysis From A Physicist's Viewpoint
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A01=Kenji Seto
A01=Noboru Nakanishi
Author_Kenji Seto
Author_Noboru Nakanishi
Band Structure
Bessel Function
Beta Function
Carbon Nano Tube (CNT)
Category=PBKJ
Cauchy Integral Representation
Colossal Carbon Tube (CCT)
Delta Function
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Gamma Function
Generalized Function
Goursat Formula
Heaviside's Operational Calculus
Holomorphic Function
Hypergeometric Function
Keyboard Percussion Vibration
Kink-Solution
Kronig-Penny's Model
KronigAcAEURA"Penny's Model
Kronig–Penny's Model
Laguerre Polynomial
Laplace Equation
Laurent Expansion
Legendre Function
Liouville Theorem
Modified Korteweg-De Vries (mKdV) Equation
Modified KortewegAcAEURA"De Vries (mKdV) Equation
Modified Korteweg–De Vries (mKdV) Equation
One-Dimensional Lattice Vibration
Potential of Periodic Delta Function
Potential of Serrated (Saw Blade) Shape
Riemann Sheet
Soliton-Solution
Stream Function
Taylor Expansion
Tracking-Line
Traction-Line (Tractrix)
Product details
- ISBN 9789811247453
- Publication Date: 03 Jun 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
