Foundations of Analysis
by Joseph L. Taylor
Number of pages: 415
The course has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need when they move on to senior or graduate level mathematics courses. The second is to present a rigorous development of the calculus, beginning with a study of the properties of the real number system.
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by N. J. Lennes - John Wiley & Sons
This volume is designed as a reference book for a course dealing with the fundamental theorems of infinitesimal calculus in a rigorous manner. The book may also be used as a basis for a rather short theoretical course on real functions.
by Anthony W. Knapp - Birkhäuser
A comprehensive treatment with a global view of the subject, emphasizing connections between real analysis and other branches of mathematics. Included throughout are many examples and hundreds of problems, with hints or complete solutions for most.
by Arthur Latham Baker - John Wiley & Sons
The author used only such methods as are familiar to the ordinary student of Calculus, avoiding those methods of discussion dependent upon the properties of double periodicity, and also those depending upon Functions of Complex Variables.
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.