000 01745nam a2200241 4500
005 20250617172037.0
008 250617b |||||||| |||| 00| 0 eng d
020 _a9781944660710
040 _aCSL
_cCSL
041 _2eng
_aeng
084 _aB33 R3
_qCSL
100 _aNakanishi, Noboru
_eauthor.
_9809383
245 _aDifferential Equations and Their Applications:
_bAnalysis from a Physicist’s Viewpoint
260 _aSingapore:
_bWorld Scientific,
_c2023.
300 _axi, 385p.
_b: ill.
_c; 23 cm
500 _aIncludes index
520 _ahis 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.
650 _aDifferential equations
650 _aMathematical physics
_9463933
650 _aPhysics—Mathematics
_9813051
700 _aSeto, Kenji
_eco-author.
_9809384
942 _2CC
_n0
_cTEXL
_hB33 R3
999 _c1431826
_d1431826