图书介绍
Discrete mathematics and its applications Sixth EditionPDF|Epub|txt|kindle电子书版本网盘下载
- Kenneth H. Rosen 著
- 出版社： McGraw-Hill
- ISBN：0071244749
- 出版时间：2007
- 标注页数：268页
- 文件大小：28MB
- 文件页数：285页
- 主题词：
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图书目录
Ultraproducts in Analysis&by C.Ward Henson and Jose Iovino1
1 Introduction3
2 Normed Space Structures10
3 Signatures13
4 Ultrapowers of Normed Space Structures17
5 Positive Bounded Formulas21
6 Basic Model Theory Ⅰ31
7 Quantifier-Free Formulas34
8 Ultraproducts of Normed Space Structures38
9 Basic Model Theory Ⅱ43
10 Isomorphic Ultrapowers55
11 Alternative Formulations of the Theory72
12 Homogeneous Structures75
13 More Model Theory79
14 Types96
References107
Index of Notation111
Index112
Actions of Polish Groups and Classification Problems&by Alexander S.Kechris115
1 Introduction117
2 The General Glimm-Effros Dichotomy120
3 Actions of Polish Groups123
4 Actions of Countable Groups126
5 Actions of Locally Compact Groups131
6 Actions of the Infinite Symmetric Group133
7 Turbulence Ⅰ：Overview137
8 Turbulence Ⅱ：Basic Facts143
9 Turbulence Ⅲ：Induced Actions146
10 Turbulence Ⅳ：Some Examples150
11 Turbulence Ⅴ：Calmness152
12 Turbulence Ⅵ：The First Main Theorem157
13 Turbulence Ⅶ：The Second Main Theorem163
References183
Index186
On Subspaces，Asymptotic Structure，and Distortion of Banach Spaces； Connections with Logic&by Edward Odell189
1 Introduction191
2 Background material：The 60’s and 70’s194
3 The unconditional basic sequence problem and connections with distortion208
4 Gowers’ dichotomy：A block Ramsey Theorem217
5 Distortion223
6 Asymptotic structure233
7 Ordinal Indices244
8 The homogeneous Banach space problem252
9 Concluding remarks254
References256
Index265