MATHEMATICAL PHYSICS REVIEW

Table of Contents

                                                                                                                      Page
Introduction .....................................................................................................1
I.   Vector Algebra ............................................................................................2
I.A.  Scalar Quantities and Algebra ....................................................................3
I.B. Vector Quantities and Algebra ....................................................................4
I.C.  Cartesian Coordinate System .....................................................................9
I.D.  Products of Vectors ................................................................................11
I.E.  Cartesian Coordinates and Rotations ........................................................29
          Cartesian Tensors ..................................................................................39

II.  Vector Calculus .........................................................................................45
II.A.1. Differentiation: Gradient Operator .........................................................45
II.A.2. Divergence and Curl .............................................................................51
II.B.1. Vector Integration: Line Integral ............................................................53
II.B.2. Surface Integrals: Flux & Solid Angle ....................................................64
II.B.3. Divergence & Gauss's Theorem ............................................................70
II.B.4. Curl & Stokes' Theorem .......................................................................77

III. Generalized Functions ................................................................................85
III.A. Generalized Functions: Point Charge .......................................................85
III.B. Dirac Delta Function ...............................................................................88
III.C. Dirac Delta Function: Three Dimensions ..................................................93
III.D. Helmholtz Theorem ................................................................................96

To download .pdf versions of scanned handwritten notes click below:

Section........................Pages...................Size

I.A.-I.B........................1-9....................~0.8 MB

I.C.-I.D.......................9-28..................~1.5 MB

I.E..............................29-44.................~1.2 MB

II.A.............................45-52................~0.7 MB

II.B.1.-II.B.2...............53-70................~1.3 MB

II.B.3.-II.B.4...............70-84................~1.2 MB

III.A.-III.D..................85-100..............~1.3 MB

The complete set of review notes.....Pages 1-100............~7.7 MB (this is a very large file)