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2011 Reprint of 1960 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Paul Richard Halmos (19162006) was a Hungarianborn American mathematician who made fundamental advances in the areas of probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces). He was also recognized as a great mathematical expositor. '...He (the author) uses the language and notation of ordinary informal mathematics to state the basic settheoretic facts which a beginning student of advanced mathematics needs to know...Because of the informal method of presentation, the book is eminently suited for use as a textbook or for selfstudy. The reader should derive from this volume a maximum of understanding of the theorems of set theory and of their basic importance in the study of mathematics.' 'Philosophy and Phenomenological Research'.
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