|
|
|
Nov 21, 2024
|
|
2016-2017 Graduate Studies Bulletin (Archived Copy) [Archived Catalog]
|
MATH 703 - Analysis ICredits: 3
Compactness, completeness, continuous functions. Outer measures, measurable sets, extension theorem and Lebesgue-Stieltjes measure. Integration and convergence theorems. Product measures and Fubini’s theorem. Differentiation theory. Theorems of Egorov and Lusin. Lp-spaces. Analytic functions: Cauchy-Riemann equations, elementary special functions. Conformal mappings. Cauchy’s integral theorem and formula. Classification of singularities, Laurent series, the Argument Principle. Residue theorem, evaluation of integrals and series.
|
|
|
Twitter
YouTube