MONASH UNIVERSITY FACULTY HANDBOOKS
Science Handbook 1996
Published by Monash University
Clayton, Victoria 3168, Australia
Authorised by Academic Registrar, April 1996
Complex
analysis in physics
Synopsis Functions of a complex variable. Cauchy-Riemann equations.
Homotopy theory. Multiply connected spaces. Cauchy's theorem. Contour
integrals. Cauchy's integral formula. Taylor and Laurent expansions. Residues
and poles. Energy spectrum; the complex E-plane. The residue theorem. Infinite
integrals and series. Branch cuts, Riemann surfaces and topology. The Laplace
and z transforms. Heaviside step function; the free propagator. The Hilbert
transform. Analyticity and causality. Kramers-Kronig relations. Conformal
mappings.
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