Fundamentals of Analysis
by W W L Chen
Publisher: Macquarie University 2008
Number of pages: 152
This is a set of notes suitable for an introduction to some of the basic ideas in analysis. The author covers the number system, sequences and limits, series, functions and continuity, differentiation, the Riemann integral, further treatment of limits, and uniform convergence.
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by Brian S. Thomson - ClassicalRealAnalysis.info
This text is intended as a treatise for a rigorous course introducing the elements of integration theory on the real line. All of the important features of the Riemann integral, the Lebesgue integral, and the Henstock-Kurzweil integral are covered.
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 Elias Zakon - The TrilliaGroup
This book follows the release of the author's Mathematical Analysis I and completes the material on Real Analysis that is the foundation for later courses. The text is appropriate for any second course in real analysis or mathematical analysis.
by G. H. Hardy - Cambridge University Press
The ideas of Du Bois-Reymond's 'Infinitarcalcul' are of great and growing importance in all branches of the theory of functions. The author brings the Infinitarcalcul up to date, stating explicitly and proving carefully a number of general theorems.