An Introductory Single Variable Real Analysis
by Marcel B. Finan
Publisher: Arkansas Tech University 2009
Number of pages: 179
The present manuscript is designed for an introductory course in real analysis suitable to upper sophomore or junior level students who already had the calculus sequel as well as a course in discrete mathematics or an equivalent course in mathematical proof. The content is considered a moderate level of difficulty.
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by John Franks - arXiv
My intent is to introduce the Lebesgue integral in a quick, and hopefully painless, way and then go on to investigate the standard convergence theorems and a brief introduction to the Hilbert space of L2 functions on the interval.
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 A. M. Bruckner, J. B. Bruckner, B. S. Thomson - Prentice Hall
This book provides an introductory chapter containing background material as well as a mini-overview of much of the course, making the book accessible to readers with varied backgrounds. It uses a wealth of examples to illustrate important concepts.
by Charles Walmsley - Cambridge University Press
Originally published in 1926, this text was aimed at first-year undergraduates studying physics and chemistry, to help them become acquainted with the concepts and processes of differentiation and integration. A prominence is given to inequalities.