Authors:
Contains enthusiastic prose and exciting and imaginative exercises that will motivate the reader
Covers the fundamental ideas, axioms, definitions, and theorems upon which real analysis is built and flourishes
Motivates the material with historical remarks and well-chosen quotes
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Table of contents (8 chapters)
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Front Matter
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Extracurricular Activities
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Front Matter
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Back Matter
About this book
In studying this book, students will encounter:
- the interconnections between set theory and mathematical statements and proofs;
- the fundamental axioms of the natural, integer, and real numbers;
- rigorous ε-N and ε-δ definitions;
- convergence and properties of an infinite series, product, or continued fraction;
- series, product, and continued fraction formulæ for the various elementary functions and constants.
Authors and Affiliations
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Department of Mathematics, Binghamton University, Binghamton, USA
Paul Loya
Bibliographic Information
Book Title: Amazing and Aesthetic Aspects of Analysis
Authors: Paul Loya
DOI: https://doi.org/10.1007/978-1-4939-6795-7
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Paul Loya 2017
License: CC BY
Hardcover ISBN: 978-1-4939-6793-3Published: 28 May 2018
Softcover ISBN: 978-1-4939-9245-4Published: 25 July 2019
eBook ISBN: 978-1-4939-6795-7Published: 11 May 2018
Edition Number: 1
Number of Pages: XV, 722
Number of Illustrations: 122 b/w illustrations