Course Description

Applied Mathematics 402a/b Linear Operators for Physical Science

Introduction to infinite dimensional linear spaces and their occurrence in applications; metric and Banach spaces: bounded operators; Volterra integral equation; introduction to the Lebesgue integral; Hilbert space, self-adjoint, unitary, compact and projection operators, spectral decomposition of self-adjoint operators; Fredholm integral equations; mathematical foundations of Quantum Mechanics.

Antirequisite: Mathematics 418a/b.
3 lecture hours, half course.


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