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Real Analysis: A First Course
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Real Analysis: A First Course
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Sep 18, 09:00Sep 18, 09:00
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Real Analysis: A First Course

bluevasebooks
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US $20.40
ApproximatelyS$ 26.28
Condition:
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    Located in: Interlochen, Michigan, United States
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    eBay item number:127328932659
    Last updated on Sep 18, 2025 02:57:52 SGTView all revisionsView all revisions

    Item specifics

    Condition
    Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
    Release Year
    1997
    Book Title
    Real Analysis: A First Course
    ISBN
    9780201832105
    Category

    About this product

    Product Identifiers

    Publisher
    Addison-Wesley Longman, Incorporated
    ISBN-10
    0201832100
    ISBN-13
    9780201832105
    eBay Product ID (ePID)
    83507

    Product Key Features

    Number of Pages
    304 Pages
    Language
    English
    Publication Name
    Real Analysis : a First Course
    Subject
    General, Mathematical Analysis
    Publication Year
    1996
    Type
    Textbook
    Subject Area
    Mathematics
    Author
    Russell Gordon
    Format
    Hardcover

    Dimensions

    Item Height
    0.7 in
    Item Weight
    19.3 Oz
    Item Length
    9.4 in
    Item Width
    6.6 in

    Additional Product Features

    Intended Audience
    College Audience
    LCCN
    96-017868
    Dewey Edition
    20
    Illustrated
    Yes
    Dewey Decimal
    515
    Table Of Content
    1. Real Numbers. What is a Real Number?The Completeness Axiom.Some Miscellaneous Results.Countable and Uncountable Sets.The Uncountability of the Set of Real Numbers. 2. Sequences. Convergent Sequences.Algebraic Properties and Monotone Sequences.Cauchy Sequences.The Bolzano-Weierstrass Theorem. 3. Limits. The Limit of a Function.The Algebra of Limits.One-sided Limits and Infinite Limits. 4. Continuity. Continuous Functions.Intermediate and Extreme Values.Monotone Functions and Inverse Functions.Uniform Continuity. 5. Differentiation. The Derivative of a Function.The Chain Rule.Further Results on Derivatives.The Mean Value Theorem.L'Hapital's Rule. 6. Integration. The Riemann Integral.Properties of the Riemann Integral.Types of Riemann Integrable Functions.The Fundamental Theorem of Calculus.Additional Algebraic Properties. 7. Infinite Series. Convergence of Infinite Series.Two Classes of Infinite Series.The Comparision Tests.Absolute Convergence.The Root and Ratio Tests. 8. Sequences and Series of Functions. Sequences of Functions.Uniform Convergence.Uniform Convergence and Inherited Properties.Series of Functions.Two Miscellaneous Results.Power Series.Taylor Series. 9. Point-Set Topology. Open and Closed Sets.Limit Points.Compact Sets.The Heine-Borel Theorem.Continuous Functions.Continuous Functions and Compact Sets. 10. Some Deeper Results. The Set of Points of Continuity of a Function.The Baire Category Theorem.Baire Class One Functions.Continuity Properties of Baire One Functions.
    Synopsis
    This text provides the theory behind single variable calculus, including the standard topics on sequences, continuity, differentiation, integration and infinite series. It takes a rigorous approach to the subject, building up student confidence with exercises., This text provides the theory behind single-variable calculus, and includes the topics typically required, such as sequences, continuity, differentiation, integration, and infinite series. The last chapter introduces point-set topology. The author presents his material in a clear, uncluttered manner, keeping a narrative style while focusing on the basic ideas of real analysis.
    LC Classification Number
    QA300.G593 1996

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    bluevasebooks

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    Based in the growing town of Interlochen, Michigan, Blue Vase Books is a thriving used book business with a passion for connecting readers with quality, affordable literature. We offer an extensive ...
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