Overview
- Contains excellent exercise sets
- Introduces the principles of real analysis, as a formidable counterpart to calculus
- Places appropriate emphasis on techniques and definitions
- Carefully written book with a thoughtful perspective for students
- Includes supplementary material: sn.pub/extras
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This comprehensive textbook is intended for a two-semester sequence in analysis. The first four chapters present a practical introduction to analysis by using the tools and concepts of calculus. The last five chapters present a first course in analysis. The presentation is clear and concise, allowing students to master the calculus tools that are crucial in understanding analysis.
From Calculus to Analysis prepares readers for their first analysis course—important because many undergraduate programs traditionally require such a course. Undergraduates and some advanced high-school seniors will find this text a useful and pleasant experience in the classroom or as a self-study guide. The only prerequisite is a standard calculus course.
Reviews
“The goal of this very readable text which is accompanied by a wealth of exercises is to advance the students technical experience, in particular in estimating algebraic expressions, and at the same time to enhance their mathematical culture.” (R. Steinbauer, Monatshefte für Mathematik, 2016)
Authors and Affiliations
Bibliographic Information
Book Title: From Calculus to Analysis
Authors: Rinaldo B. Schinazi
DOI: https://doi.org/10.1007/978-0-8176-8289-7
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2012
Hardcover ISBN: 978-0-8176-8288-0Published: 27 September 2011
eBook ISBN: 978-0-8176-8289-7Published: 25 September 2011
Edition Number: 1
Number of Pages: X, 250
Number of Illustrations: 7 b/w illustrations
Topics: Analysis, Sequences, Series, Summability, Approximations and Expansions, Measure and Integration