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Real Analysis: A Long-Form Mathematics Lehrbook [The Long
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    Book Title
    Real Analysis: A Long-Form Mathematics Textbook (The Long-Form M
    ISBN
    9781077254541
    Kategorie

    Über dieses Produkt

    Product Identifiers

    Publisher
    Independently Published
    ISBN-10
    1077254547
    ISBN-13
    9781077254541
    eBay Product ID (ePID)
    27038759862

    Product Key Features

    Number of Pages
    449 Pages
    Language
    English
    Publication Name
    Real Analysis : a Long-Form Mathematics Textbook
    Publication Year
    2019
    Subject
    General, Calculus
    Type
    Textbook
    Subject Area
    Mathematics
    Author
    Jay Cummings
    Series
    The Long-Form Math Textbook Ser.
    Format
    Trade Paperback

    Dimensions

    Item Height
    1 in
    Item Weight
    44.9 Oz
    Item Length
    11 in
    Item Width
    8.5 in

    Additional Product Features

    Intended Audience
    Trade
    Dewey Edition
    23
    Illustrated
    Yes
    Dewey Decimal
    515
    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 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 Number
    QA303.2.C8 2019

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