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Real Analysis PDF
By:Jay Cummings
Published on 2019-07-15 by
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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 Book was ranked at 15 by Google Books for keyword textbook.
Book ID of Real Analysis's Books is WzLoxwEACAAJ, Book which was written byJay Cummingshave ETAG "0m0ONDyneMc"
Book which was published by since 2019-07-15 have ISBNs, ISBN 13 Code is 9781077254541 and ISBN 10 Code is 1077254547
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