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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.
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- PublisherIndependently published
- Publication date2019
- ISBN 10 1077254547
- ISBN 13 9781077254541
- BindingPaperback
- LanguageEnglish
- Edition number2
- Number of pages449
- Rating
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Real Analysis: A Long-Form Mathematics Textbook
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Independently published, 2019
ISBN 10: 1077254547
ISBN 13: 9781077254541
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Real Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series)
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Independently published, 2019
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ISBN 13: 9781077254541
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Real Analysis: A Long-Form Mathematics Textbook
Published by
Independently published, 2019
ISBN 10: 1077254547
ISBN 13: 9781077254541
Used
Softcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
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Real Analysis (Paperback)
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Paperback. Condition: new. Paperback. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781077254541
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Real Analysis: A Long-Form Mathematics Textbook
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ISBN 10: 1077254547
ISBN 13: 9781077254541
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Softcover. Condition: Very Good. Heavy, extra postage required unless posted within South Africa. Tall. 2nd edition. The wraps are a little shelf rubbed and edge worn. Internally, clean. Tightly bound. [ak]. Our orders are shipped using tracked courier delivery services. Seller Inventory # f76fi
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