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Paul R. Halmos

P. R. Halmos

Naive Set Theory (Undergraduate Texts in Mathematics)

by P. R. Halmos (Author) Format: Hardcover

(161)

Part of: Dover Books on Mathematics (303 books)

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Every 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.

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ISBN-10

0387900926
ISBN-13

978-0387900926
Edition

1974th
Publisher

Springer
Publication date

January 16, 1998
Part of series

Dover Books on Mathematics
Language

English
Dimensions

6.5 x 0.5 x 9.5 inches
Print length

111 pages

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Naive Set Theory
Paul R. Halmos

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Axiomatic Set Theory (Dover Books on Mathematics)
Patrick Suppes

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A Book of Abstract Algebra: Second Edition (Dover Books on Mathematics)
Charles C Pinter

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Introduction to Topology: Third Edition (Dover Books on Mathematics)
Bert Mendelson

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Set Theory and Logic (Dover Books on Mathematics)
Robert R. Stoll

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A Book of Set Theory (Dover Books on Mathematics)
Charles C Pinter

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Editorial Reviews

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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)

Product details

Publisher ‏ : ‎ Springer
Publication date ‏ : ‎ January 16, 1998
Edition ‏ : ‎ 1974th
Language ‏ : ‎ English
Print length ‏ : ‎ 111 pages
ISBN-10 ‏ : ‎ 0387900926
ISBN-13 ‏ : ‎ 978-0387900926
Item Weight ‏ : ‎ 12 ounces
Dimensions ‏ : ‎ 6.5 x 0.5 x 9.5 inches
Part of series ‏ : ‎ Dover Books on Mathematics
Best Sellers Rank: #1,922,768 in Books (See Top 100 in Books)
- #8 in Mathematical Set Theory
- #170 in Mathematical Logic
- #1,222 in Mathematics (Books)
Customer Reviews:
(161)

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Customers find this book to be the best place to start learning about set theory, describing it as an indispensable introduction to the subject.

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13 customers mention informative, 12 positive, 1 negative

Customers find the book informative and consider it the best place to start learning about set theory, describing it as an indispensable introduction to the subject.

It is a helpful book, but I also recommend Set Theory by M. PieperRead more

GREAT REFRESHERRead more

...It was very helpful. I have started reading it again, but it requires study rather than reading....Read more

...Not only did this book fill in gaps, but it also greatly expanded on my previous understanding and built up new concepts. This is a fantastic book.Read more

10 customers mention content, 7 positive, 3 negative

Customers find the book fantastic and give it five stars, with one customer noting it was great for its time.

...This is a fantastic book.Read more

...I recommend this book for graduate students in mathematics....Read more

...you could learn the basics of the topic from this book but I can't really recommend it....Read more

This is a book I used back in undergrad studies. It is a must read for anyone interested in set theory....Read more

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