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

Cummings, Jay

ISBN 10: 1077254547 / ISBN 13: 9781077254541

Published by Independently published, 2019

About this Item

Good for an â Acceptableâ copy. It might have light water damage/staining, cover and/or binding issues. There could more highlighting, annotations and/or underlining than normal or just general wear, but most will feel like this book could be called either â fairâ or â good.â All of our books come with a 30 day, money back guarantee. Item does not include any supplemental items such as access codes, discs, etc. Order ships quickly!CS.

Seller Inventory # mon0000025696

Bibliographic Details

• Title: Real Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series)
• Publisher: Independently published
• Publication Date: 2019
• Language: English
• ISBN 10: 1077254547
• ISBN 13: 9781077254541
• Binding: paperback
• Edition: 2nd Edition
• Condition: Acceptable

About this title

Synopsis

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.

This is the 2 + epsilon edition of this book. The second edition was published in July 2019. In January 2024, an epsilon of changes were made and the manuscript was updated, without officially creating a new edition.