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Understanding infinity 理解无穷

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Understanding infinity 理解无穷

最 低 价：￥162.30

定 价：￥180.35

作 者：A. Gardiner　著 著

出 版 社：

出版时间：2003-1-1

I S B N：048642538X

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    内容简介
    Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions. 1982 edition.

    作者简介

    目录
    PART ⅠFROM CALCULUS TO ANALYSIS
    CHAPTER Ⅰ.1 What's Wrong with the Calculus?
    CHAPTER Ⅰ.2 Growth and Change in Mathematics
    PART Ⅱ NUMBER
    CHAPTER Ⅱ.1 Mathematics: Rational or Irrational ?
    CHAPTER Ⅱ.2 ConstructⅣe and Non-constructⅣe Methods in Mathematics
    CHAPTER Ⅱ.3 Common Measures, Highest Common Factors and t Game of Euclid
    CHAPTER Ⅱ.4 Sides and Diagonals of Regular Polygons
    CHAPTER Ⅱ.5 Numbers and Arithmetic--A Quick Review
    CHAPTER Ⅱ.6 Infinite Decimals (Part 1)
    CHAPTER Ⅱ.7 Infinite Decimals (Part 2)
    CHAPTER Ⅱ.8 Recurring Nines
    CHAPTER Ⅱ.9 Fractions and Recurring Decimals
    CHAPTER Ⅱ.10 The Fundamental Property of Real Numbers
    CHAPTER Ⅱ 1 The Arithmetic of Infinite Decimals
    CHAPTER Ⅱ.12 Reflections on Recurring Themes
    CHAPTER Ⅱ.13 Continued Fractions
    PART Ⅲ GEOMETRY
    CHAPTER Ⅲ.1 Numbers and Geometry
    CHAPTER Ⅲ.2 The Role of Geometrical Intuition
    CHAPTER Ⅲ.3 Comparing Areas
    CHAPTER Ⅲ.4 Comparing Volumes
    CHAPTER Ⅲ.5 Curves and Surfaces
    PART Ⅳ FUNCTIONS
    CHAPTER Ⅳ.1 What Is a Number?
    CHAPTER Ⅳ.2 What Is a Function?
    CHAPTER Ⅳ.3 What Is an Exponential Function?
    Index
    Errata

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