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Mathematical Analysis I

Mathematical Analysis I

This is a free, online textbook.  According to the author, "This text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material. For students who need a review of basic mathematical concepts before beginning "epsilon-delta"-style proofs, the text begins with material on set theory (sets, quantifiers, relations and mappings, countable sets), the real numbers (axioms, natural numbers, induction,... Show More


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Sean Connor
Sean Connor (Staff)
5 years ago

This book is also available under a Creative Commons Attribution license via The Saylor Foundation, at

Bradley Lucier
Bradley Lucier (Faculty)
7 years ago

I'm the publisher of this book.  It is not a book for lower level college, it's for upper level college and perhaps a bridge book for entering graduate students in mathematics.

Used in course? Yes