Welcome to Math 5102: Linear
Mathematics in Infinite Dimensions.
Math
5102 is the extension of Math 5101 into infinite dimensions.
It is a physically/motivationally rigorous course which develops the
six mathematical jewels
- Sturm-Liouville eigenvalue problems
- Hilbert spaces
- Fourier theory
- Green's functions
- special functions
- Wave equations
that lie at the heart of 20th and 21st
century science.
The goal is to have at one's disposal an
overarching constellation of non-trivial mathematical methods
-- mathematical tools for grasping at a fundamental level
vibrations, eletromagnetics, and signals for engineers as well as
electrodynamics and quantum mechanics for physicists.
This web site is the gateway to useful information about
Math 5102:
- A telegraphic overview
of Math 5102 topics
- Aid to prerequisites.: (i) Euler's
differential equation and (ii) the Cauchy-Goursat
Theorem together with the Cauchy integral
formula
- General
house keeping information
- The PDF of Linear Mathematics in Infinite
Dimensions