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

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

ISBN-13: 9781077254541
ISBN-10: 1077254547
Edition: 2
Author: Jay Cummings
Publication date: 2019
Publisher: Independently published
Format: Paperback 449 pages
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Book details

ISBN-13: 9781077254541
ISBN-10: 1077254547
Edition: 2
Author: Jay Cummings
Publication date: 2019
Publisher: Independently published
Format: Paperback 449 pages

Summary

Real Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series) (ISBN-13: 9781077254541 and ISBN-10: 1077254547), written by authors Jay Cummings, was published by Independently published in 2019. With an overall rating of 4.5 stars, it's a notable title among other Mathematical Analysis (Mathematics) books. You can easily purchase or rent Real Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series) (Paperback, Used) from BooksRun, along with many other new and used Mathematical Analysis books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $5.05.

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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