Naive Set Theory is a book written by Paul Richard Halmos that provides an introduction to the fundamentals of set theory. The book is part of the University Series in Undergraduate Mathematics and is designed to be accessible to students who are new to the subject. The book covers a range of topics, including the basic concepts of sets, relations, functions, and cardinality. It also explores more advanced topics, such as transfinite induction and the axiom of choice. The book is written in a clear and concise style, with numerous examples and exercises to help readers develop their understanding of the material. Overall, Naive Set Theory is an essential resource for anyone studying set theory, whether as part of a mathematics degree or as a self-study guide.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
This classic by one of the twentieth century's most prominent mathematicians offers a concise introduction to set theory. Suitable for advanced undergraduates and graduate students in mathematics, it employs the language and notation of informal mathematics. There are very few displayed theorems; most of the facts are stated in simple terms, followed by a sketch of the proof. Only a few exercises are designated as such since the book itself is an ongoing series of exercises with hints. The treatment covers the basic concepts of set theory, cardinal numbers, transfinite methods, and a good deal more in25 brief chapters.
"This book is a very specialized but broadly useful introduction to set theory. It is aimed at 'the beginning student of advanced mathematics' who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. A good reference for how set theory is used in other parts of mathematics." Allen Stenger, The Mathematical Association of America, September, 2011."
From the reviews:
This book is a very specialized but broadly useful introduction to set theory. It is aimed at the beginning student of advanced mathematics ... who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. ... A good reference for how set theory is used in other parts of mathematics ... . (Allen Stenger, The Mathematical Association of America, September, 2011)
--Allen Stenger, The Mathematical Association of America, September, 2011)Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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