by Martin Smith-Martinez, et al.
Publisher: Wikibooks 2013
This introductory book is concerned in particular with analysis in the context of the real numbers. It will first develop the basic concepts needed for the idea of functions, then move on to the more analysis-based topics.
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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 Henry Parker Manning - J. Wiley & sons
This book is intended to explain the nature of irrational numbers, and those parts of Algebra which depend on the theory of limits. We have endeavored to show how the fundamental operations are to be performed in the case of irrational numbers.
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 B. Lafferriere, G. Lafferriere, N. Mau Nam - Portland State University Library
We provide students with a strong foundation in mathematical analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.