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The Long-Form Math Textbook Ser.: Real Analysis : A Long-Form Mathematics Textbook by Jay Cummings (2019, Trade Paperback)
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About this product
Product Identifiers
PublisherIndependently Published
ISBN-101077254547
ISBN-139781077254541
eBay Product ID (ePID)27038759862
Product Key Features
Number of Pages449 Pages
Publication NameReal Analysis : a Long-Form Mathematics Textbook
LanguageEnglish
SubjectGeneral, Calculus
Publication Year2019
TypeTextbook
AuthorJay Cummings
Subject AreaMathematics
SeriesThe Long-Form Math Textbook Ser.
FormatTrade Paperback
Dimensions
Item Height1 in
Item Weight44.9 Oz
Item Length11 in
Item Width8.5 in
Additional Product Features
Intended AudienceTrade
Dewey Edition23
IllustratedYes
Dewey Decimal515
SynopsisThis 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 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.
LC Classification NumberQA303.2.C8 2019
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