Going to 3rd year:want to "spherical harmonic"

Going to 3rd year:want to "spherical harmonic": "

I'm going on to my 3rd year in university, my professor recommended that i should learn spherical harmonic over the summer...he told me to wiki it but that turned out to be a mess for me.. i have take first year calculus for physicist, and 2nd year differential equation, and vector calculus.



Vector calculus part one:

Partial derivatives, gradient, tangent plane, Jacobian matrix and chain rule, Taylor series; extremal problems, extremal problems with constraints and Lagrange multipliers, multiple integrals, spherical and cylindrical coordinates, law of transformation of variables.



Vector calculus part two:

Introduction to Fourier expansions

Paths, path integrals

Vector fields, line integrals, define differential form, Green’s Theorem

Surfaces (parametrized), surface integrals, Divergence Theorem

Differential forms, Stokes’ Theorem (general and special case in R3 )

Introduction to the calculus of variations



so basically i just wanted to know where to get started, recommended books, online lech etc



Thanks in advance for you contribution



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Source : Google Reader