Undergraduate Analysis Tools
by Bruce K. Driver
Publisher: University of California, San Diego 2013
Number of pages: 186
Contents: Natural, integer, and rational Numbers; Fields; Real Numbers; Complex Numbers; Set Operations, Functions, and Counting; Metric Spaces; Series and Sums in Banach Spaces; More Sums and Sequences; Topological Considerations; Differential Calculus in One Real Variable; Simple Integration Theory; Extending the Integral by Uniform Limits.
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by William F. Trench - Prentice Hall
This book introduces readers to a rigorous understanding of mathematical analysis and presents challenging concepts as clearly as possible. Written for those who want to gain an understanding of mathematical analysis and challenging 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.
by Joseph L. Taylor
The goal is to develop in students the mathematical maturity they will need when they move on to senior level mathematics courses, and to present a rigorous development of the calculus, beginning with the properties of the real number system.
by Martin Smith-Martinez, et al. - Wikibooks
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.