关注微信

推荐商品

    加载中... 正在为您读取数据...
分享到:
  • 测度论[平装]
  • 共2个商家     31.20元~35.49
  • 作者:霍尔姆斯(作者)
  • 出版社:世界图书出版公司;第1版(2007年2月1日)
  • 出版时间:
  • 版次 :
  • 印刷时间:
  • 包装:
  • ISBN:9787506282741

  • 商家报价
  • 简介
  • 评价
  • 加载中... 正在为您读取数据...
  • 商品描述

    编辑推荐

    《测度论》推荐阅读。

    作者简介

    作者:(德)霍尔姆斯

    目录

    Preface
    Acknowledgments
    SECTION
    0 Prerequisites
    CHAPTER Ⅰ: SETS AND CLASSES
    1 Set inclusion
    2 Unions and intersections
    3 Limits, complements, and differences
    4 Rings and algebras
    5 Generated rings and -rings
    6 Monotone classes
    CHAPTER Ⅱ: MEASURES AND OUTER MEASUR. ES
    7 Measure on rings
    8 Measure on intervals
    9 Properties of measures
    10 Outer measures
    11 Measurable sets
    CHAPTER Ⅲ: EXTENSION OF MEASURES
    12 Properties of induced measures
    13 Extension,completion,and approximation
    14 Inner measures
    15 Lebesgue measure
    16 Non measurable cets
    CHAPTER Ⅳ: MEASURABLE FUNCTIONS
    17 Measure spaces
    18 Measurable functions
    19 Combinations of measurable functions
    20 Sequences of measurable functions
    21 Pointwise convergence
    22 Convergence in measure
    CHAPTER Ⅴ: INTEGRATION
    23 Integrable simple functions
    24 Sequences of integrable simple functions
    25 Integrable functions
    26 Sequences of integrable functions
    27 Properties of Integrals
    CHAPTER Ⅵ: GENERAL SET FUNCTIONS
    28 Signed measures
    29 Hahn and Jordan decompostions
    30 Absolute continuity
    31 The Radon-Nikodym theorem
    32 Derivatives of signed measures
    CHAPTER Ⅶ: PRODUCT SPACES
    CHAPTER Ⅷ: TRANSFORMATIONS AND FUNCTIONS
    CHAPTER Ⅸ: PROBABILITY
    CHAPTER Ⅹ: LOCALLY COMPACT SPACES
    CHAPTER Ⅺ: AHHR MEASURE
    CHAPTER Ⅻ: MEASURE AND TOPOLOGY IN GROUPS
    ……
    References
    Bibliography
    List of frequently used symbols
    Index