Mathematical Tools for Physics

Basis Change

13 Vector Calculus 2............. 396
Integrals
Line Integrals
Gauss’s Theorem
Stokes’ Theorem
Reynolds’ Transport Theorem

14 Complex Variables............. 418
Differentiation
Integration
Power (Laurent) Series
Core Properties
Branch Points

Cauchy’s Residue Theorem

Branch Points

Other Integrals

Other Results

15 Fourier Analysis.............. 451

Fourier Transform

Convolution Theorem

Time-Series Analysis

Derivatives

Green’s Functions

Sine and Cosine Transforms

Weiner-Khinchine Theorem

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