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Book Categories |
Preface | ||
Pt. I | Basics of set theory | 1 |
1 | Axiomatic set theory | 3 |
2 | Relations, functions, and Cartesian product | 12 |
3 | Natural numbers, integers, and real numbers | 25 |
Pt. II | Fundamental tools of set theory | 35 |
4 | Well orderings and transfinite induction | 37 |
5 | Cardinal numbers | 61 |
Pt. III | The power of recursive definitions | 77 |
6 | Subsets of R[superscript n] | 79 |
7 | Strange real functions | 104 |
Pt. IV | When induction is too short | 127 |
8 | Martin's axiom | 129 |
9 | Forcing | 164 |
A | Axioms of set theory | 211 |
B | Comments on the forcing method | 215 |
C: Notation | 220 | |
References | 225 | |
Index | 229 |
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Add Set Theory for the Working Mathematician, This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics, such as abstract geometry, real analysis, and, in some cases, topology and algebra. These methods include transfinite induction, Zorn's Le, Set Theory for the Working Mathematician to the inventory that you are selling on WonderClubX
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Add Set Theory for the Working Mathematician, This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics, such as abstract geometry, real analysis, and, in some cases, topology and algebra. These methods include transfinite induction, Zorn's Le, Set Theory for the Working Mathematician to your collection on WonderClub |