Notes on the Theory of Integration : Ma 108

Abstract

Course description from Caltech Catalog (1960/61): Ma 108 abc. Advanced Calculus. 12 units (4-0-8); three terms. Prerequisite: Ma 2. In this course, a sequel to Ma 2, more advanced techniques and applications of calculus are treated. Point set topology is the point of departure for the theory of convergence, and applications are made to implicit functions, partial differentiation, infinite series and infinite products of real and complex numbers. Other topics treated include: uniform convergence of sequences of functions; functions defined by integrals; Fourier series and integrals; analytic functions of a complex variable.