Infinitesimal Calculus

    Infinitesimal Calculus

    By James M. Henle and Eugene M. Kleinberg

    $15.95

    Publication Date: 22nd July 2003

    Rigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than applications. Requires only a solid foundation in high school mathematics. Contents: 1. Introduction. 2. Language and Structure. 3. The Hyperreal Numbers. 4. The Hyperreal Line. 5. Continuous Functions. 6. Integral Calculus. 7. Differential Calculus. 8. The Fundamental Theorem. 9. Infinite Sequences and Series. 10. Infinite Polynomials. 11. The Topology of the Real Line. 12. Standard Calculus and Sequences of Functions. Appendixes. Subject Index... Read More
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    Rigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than applications. Requires only a solid foundation in high school mathematics. Contents: 1. Introduction. 2. Language and Structure. 3. The Hyperreal Numbers. 4. The Hyperreal Line. 5. Continuous Functions. 6. Integral Calculus. 7. Differential Calculus. 8. The Fundamental Theorem. 9. Infinite Sequences and Series. 10. Infinite Polynomials. 11. The Topology of the Real Line. 12. Standard Calculus and Sequences of Functions. Appendixes. Subject Index... Read More
    Description
    Rigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than applications. Requires only a solid foundation in high school mathematics. Contents: 1. Introduction. 2. Language and Structure. 3. The Hyperreal Numbers. 4. The Hyperreal Line. 5. Continuous Functions. 6. Integral Calculus. 7. Differential Calculus. 8. The Fundamental Theorem. 9. Infinite Sequences and Series. 10. Infinite Polynomials. 11. The Topology of the Real Line. 12. Standard Calculus and Sequences of Functions. Appendixes. Subject Index. Name Index. Numerous figures. 1979 edition.

    Reprint of The MIT Press, Cambridge, MA, 1979 edition.
    Details
    • Price: $15.95
    • Pages: 144
    • Publisher: Dover Publications
    • Imprint: Dover Publications
    • Series: Dover Books on Mathematics
    • Publication Date: 22nd July 2003
    • Trim Size: 6.14 x 9.21 in
    • Illustration Note: Figs. throughout
    • ISBN: 9780486428864
    • Format: Paperback
    • BISACs:
      MATHEMATICS / Calculus
    Table of Contents
    Preface
    1 Introduction
    2 Language and Structure
    3 The Hyperreal Numbers
    4 The Hyperreal Line
    5 Continuous Functions
    6 Integral Calculus
    7 Differential Calculus
    8 The Fundamental Theorem
    9 Infinite Sequences and Series
    10 Infinite Polynomials
    11 The Topology of the Real Line
    12 Standard Calculus and Sequences of Functions
    Appendix A Defining Quasi-big Sets
    Appendix B The Proof of Theorem 3.1
    Subject Index
    Name Index
    Rigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than applications. Requires only a solid foundation in high school mathematics. Contents: 1. Introduction. 2. Language and Structure. 3. The Hyperreal Numbers. 4. The Hyperreal Line. 5. Continuous Functions. 6. Integral Calculus. 7. Differential Calculus. 8. The Fundamental Theorem. 9. Infinite Sequences and Series. 10. Infinite Polynomials. 11. The Topology of the Real Line. 12. Standard Calculus and Sequences of Functions. Appendixes. Subject Index. Name Index. Numerous figures. 1979 edition.

    Reprint of The MIT Press, Cambridge, MA, 1979 edition.
    • Price: $15.95
    • Pages: 144
    • Publisher: Dover Publications
    • Imprint: Dover Publications
    • Series: Dover Books on Mathematics
    • Publication Date: 22nd July 2003
    • Trim Size: 6.14 x 9.21 in
    • Illustrations Note: Figs. throughout
    • ISBN: 9780486428864
    • Format: Paperback
    • BISACs:
      MATHEMATICS / Calculus
    Preface
    1 Introduction
    2 Language and Structure
    3 The Hyperreal Numbers
    4 The Hyperreal Line
    5 Continuous Functions
    6 Integral Calculus
    7 Differential Calculus
    8 The Fundamental Theorem
    9 Infinite Sequences and Series
    10 Infinite Polynomials
    11 The Topology of the Real Line
    12 Standard Calculus and Sequences of Functions
    Appendix A Defining Quasi-big Sets
    Appendix B The Proof of Theorem 3.1
    Subject Index
    Name Index