Elementary Set Theory, Part I/IIHong Kong University Press, 1992年7月1日 - 148 頁 This book provides students of mathematics with the minimum amount of knowledge in logic and set theory needed for a profitable continuation of their studies. There is a chapter on statement calculus, followed by eight chapters on set theory. |
內容
| 3 | |
SETS | 22 |
RELATIONS | 43 |
MAPPINGS | 53 |
FAMILIES | 67 |
NATURAL NUMBERS | 77 |
FINITE AND INFINITE SETS | 91 |
ORDERED SETS | 102 |
ORDINAL NUMBERS AND CARDINAL NUMBERS | 117 |
SPECIAL SYMBOLS AND ABBREVIATIONS | 129 |
常見字詞
A₁ axiom of choice axiom of extension belongs bijective mapping called canonical order relation cardinal cartesian product concept countable defined definition denote empty set equal equipotent equivalence relation example exists F F F f₁ family of sets family of subsets finite sets hence Hong Kong inclusion infinite set injective integers intersection isomorphic iterated composition least element Let Ai)ier Let f mapping 4A mapping f mathematical induction maximal element natural numbers natural sequence negation non-empty set number of elements objects ordered pair ordered set ordinal numbers power set PROOF proper segment proper subset Prove quotient set rational numbers real numbers recursion theorem respectively Section set of departure set P(A set theory singleton statement calculus statement function successor set topology transfinite induction true truth functional truth table truth value union usual order relation valid formula well-ordered set well-ordering principle