9781077254541-1077254547-Real Analysis: A Long-Form Mathematics Textbook (Long-Form Math Textbook Series)

Real Analysis: A Long-Form Mathematics Textbook (Long-Form Math Textbook Series)

ISBN-13: 9781077254541
ISBN-10: 1077254547
Edition: 2
Author: Cummings, Jay
Publication date: 2019
Publisher: Independently published
Format: Paperback 445 pages
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Book details

ISBN-13: 9781077254541
ISBN-10: 1077254547
Edition: 2
Author: Cummings, Jay
Publication date: 2019
Publisher: Independently published
Format: Paperback 445 pages

Summary

Acknowledged authors Cummings, Jay wrote Real Analysis: A Long-Form Mathematics Textbook (Long-Form Math Textbook Series) comprising 445 pages back in 2019. Textbook and eTextbook are published under ISBN 1077254547 and 9781077254541. Since then Real Analysis: A Long-Form Mathematics Textbook (Long-Form Math Textbook Series) textbook was available to sell back to BooksRun online for the top buyback price of $ 0.30 or rent at the marketplace.

Description

This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by "scratch work" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own. Examples often drive the narrative and challenge the intuition of the reader. The text also aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and includes interesting historical notes, periodic attempts at humor, and occasional diversions into other interesting areas of mathematics. The text covers the real numbers, cardinality, sequences, series, the topology of the reals, continuity, differentiation, integration, and sequences and series of functions. Each chapter ends with exercises, and nearly all include some open questions. The first appendix contains a construction the reals, and the second is a collection of additional peculiar and pathological examples from analysis. The author believes most textbooks are extremely overpriced and endeavors to help change this.Hints and solutions to select exercises can be found at LongFormMath.com.

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