文档介绍：A Guided T our of Mathematical Ph ysics Ro el Snieder Dept of Geoph ysics Utrec h t Univ ersit y P O Bo x
T A Utrec h t herlands Published b y Samizdat Press Golden White Riv er Junction c Samizdat Press Samizdat Press publications are a v ailable via In from h ttp samizdat mines edu P ermission is giv en to cop y these do cumen ts for educational purp oses No v em ber Con ten ts In tro duction Summation of series
The T a ylor series
The b ouncing ball
Re ection and transmission b y a stac kofla y ers Spherical and cylindrical co ordinates
In tro ducing spherical co ordinates
Changing co ordinate systems
The acceleration in spherical co ordinates
V olume in tegration in spherical co ordinates
Cylinder co ordinates The div ergence of a v ector eld
The ux of a v ector eld
In tro duction of the div ergence
Sources and sinks
The div ergence in cylinder co ordinates
Is life p ossible in a dimensional w orld The curl of a v ector eld
In tro duction of the curl
What is the curl of the v ector eld
The rst source of v orticit y rigid rotation
The second source of v orticit y shear
The ic eld induced b y a straigh t curren t
Spherical co ordinates and cylinder co ordinates The theorem of Gauss