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1.

図書

図書
Paul R. Halmos
出版情報: New York : Springer-Verlag, 1974  xi, 304 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 18
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目次情報: 続きを見る
Preface
Prerequisites / 0:
Sets and Classes / 1:
Measures and Outer Measures / 2:
Extension of Measures / 3:
Measurable Functions / 4:
Integration / 5:
General Set Functions / 6:
Product Spaces / 7:
Transformations and Functions / 8:
Probability / 9:
Locally Compact Spaces / 10:
Haar Measure / 11:
Measure and Topology in Groups / 12:
References
Bibliography
List of Frequently Used Symbols
Index
Preface
Prerequisites / 0:
Sets and Classes / 1:
2.

図書

図書
Paul R. Halmos
出版情報: New York : Springer-Verlag, 1974, c1967  xvii, 365 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 19
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3.

図書

図書
Paul R. Halmos
出版情報: New York : Springer-Verlag, c1974  vii, 104 p. ; 23 cm
シリーズ名: Undergraduate texts in mathematics
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目次情報: 続きを見る
Preface
The Axiom of Extension / 1:
The Axiom of Specification / 2:
Unordered Pairs / 3:
Unions and Intersections / 4:
Complements and Powers / 5:
Ordered Pairs / 6:
Relations / 7:
Functions / 8:
Families / 9:
Inverses and Composites / 10:
Numbers / 11:
The Peano Axioms / 12:
Arithmetic / 13:
Order / 14:
The Axiom of Choice / 15:
Zorn's Lemma / 16:
Well Ordering / 17:
Transfinite Recursion / 18:
Ordinal Numbers / 19:
Sets of Ordinal Numbers / 20:
Ordinal Arithmetic / 21:
The Schrwder-Bernstein Theorem / 22:
Countable Sets / 23:
Cardinal Arithmetic / 24:
Carnidal numbers / 25:
Preface
The Axiom of Extension / 1:
The Axiom of Specification / 2:
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