140A-B-C. Foundations of Analysis (4-4-4)

Axioms, the real number system, topology of the real line, metric spaces, continuous functions, sequences of functions, differentiation, Riemann-Stieltjes integration, partial differentiation, multiple integration, Jacobians. Additional topics at the discretion of the instructor: power series, Fourier series, successive approximations of other infinite processes. Three lectures, one recitation. Prerequisites: Math. 20E and Math. 89 (may be taken concurrently). Credit cannot be obtained for both Math. 140A-B and 142A-B. (F,W,S)

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September 17, 1998