000			02927nam a22002177a 4500
003			CUTN
005			20231006105248.0
008			231006b |||||||| |||| 00| 0 eng d
020			_a9780387900926
041			_aEnglish
082			_a511.3 _bHAL
100			_aHalmos, P. R.
245			_aNaive Set Theory / _cP. R. Halmos
260			_aNew York : _bSpringer, _c1960.
300			_a104p.: _bill.: _c9 x 6 x 0.3 in (22.86 x 15.24 x 0.76 cm)
505			_tThe Axiom of Extension Paul R. Halmos -Pages 1-3 The Axiom of Specification Paul R. Halmos Pages 4-7 Unordered Pairs Paul R. Halmos Pages 8-11 Unions and Intersections Paul R. Halmos Pages 12-16 Complements and Powers Paul R. Halmos Pages 17-21 Ordered Pairs Paul R. Halmos Pages 22-25 Relations Paul R. Halmos Pages 26-29 Functions Paul R. Halmos Pages 30-33 Families Paul R. Halmos Pages 34-37 Inverses and Composites Paul R. Halmos Pages 38-41 Numbers Paul R. Halmos Pages 42-45 The Peano Axioms Paul R. Halmos Pages 46-49 Arithmetic Paul R. Halmos Pages 50-53 Order Paul R. Halmos Pages 54-58 The Axiom of Choice Paul R. Halmos Pages 59-61 Zorn’s Lemma Paul R. Halmos Pages 62-65 Well Ordering Paul R. Halmos Pages 66-69 Transfinite Recursion Paul R. Halmos Pages 70-73 Ordinal Numbers Paul R. Halmos Pages 74-77 Sets of Ordinal Numbers Paul R. Halmos Pages 78-80 Ordinal Arithmetic Paul R. Halmos Pages 81-85 The Schröder-Bernstein Theorem Paul R. Halmos Pages 86-89 Countable Sets Paul R. Halmos Pages 90-93 Cardinal Arithmetic Paul R. Halmos Pages 94-98 Cardinal Numbers Paul R. Halmos -Pages 99-102 Back Matter -Pages 102-104
520			_aEvery mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set­ theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.
650			_aMathematics
690			_aMathematics
942			_2ddc _cBOOKS
999			_c39849 _d39849