Basic Analysis: Introduction to Real Analysis
by Jiri Lebl
Publisher: Lulu.com 2009
Number of pages: 161
This free online textbook is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A prerequisite for the course is a basic proof course. The text does not cover topics such as metric spaces, which a more advanced text would.
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This text surveys the recent results that concern real functions whose statements involve the use of set theory. The choice of the topics follows the author's personal interest in the subject. Most of the results are left without the proofs.
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The book is written in a rigorous, yet reader friendly style with motivational and historical material that emphasizes the big picture and makes proofs seem natural rather than mysterious. Introduces key concepts such as point set theory and other.