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Introduction to Real Analysis II

MATH 5202: Introduction to Real Analysis II

Continuation of Fourier series, differentiable functions of several variables, implicit function theorem and inverse function theorem, introduction to Lebesgue measure and Lebesgue integration, introduction to Hilbert spaces.
Prereq: 5201 (652). Not open to students with credit for 653.
Credit Hours
5.0

Textbook

Title:  Real Analysis
Edition: 3rd Edition
Author: Royden & Fitzpatrick
Publisher:  Pearson
ISBN:  9780131437470
 

Textbook

Title: Principles of Mathematical Analysis
Edition: 3rd
Author: Rudin
Publisher: McGraw Hill
ISBN: 9780071002769

Semester(s) Offered:

Spring