Real Analysis for Graduate Students: Measure and Integration Theory
by Richard F. Bass
Publisher: CreateSpace 2011
Number of pages: 206
Nearly every Ph.D. student in mathematics needs to take a preliminary or qualifying examination in real analysis. This book provides the necessary tools to pass such an examination. Every effort was made to present the material in as clear a fashion as possible.
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by Bruce K. Driver - Springer
These are lecture notes from Real analysis and PDE: Basic Topological, Metric and Banach Space Notions; Riemann Integral and ODE; Lebesbgue Integration; Hilbert Spaces and Spectral Theory of Compact Operators; Complex Variable Theory; etc.
by Dan Sloughter - Synechism.org
This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, the author is assuming that the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses.
by John K. Hunter - University of California Davis
These are some notes on introductory real analysis. They cover the properties of the real numbers, sequences and series of real numbers, limits of functions, continuity, differentiability, sequences and series of functions, and Riemann integration.
by Bert G. Wachsmuth - Seton Hall University
Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. It deals with sets, sequences, series, continuity, differentiability, integrability, topology, power series, and more.