Naive Set Theory / P. R. Halmos

By:

Halmos, P. R

Material type:

TextLanguage: English Publication details: New York : Springer, 1960.Description: 104p.: ill.: 9 x 6 x 0.3 in (22.86 x 15.24 x 0.76 cm)ISBN:

9780387900926

Subject(s):

DDC classification:

511.3 HAL

Contents:

The 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

Summary: 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.

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Cover image	Item type	Current library	Home library	Collection	Shelving location	Call number	Materials specified	Vol info	URL	Copy number	Status	Notes	Date due	Barcode	Item holds	Item hold queue priority	Course reserves
	Project book	CUTN Central Library				511.3 HAL (Browse shelf(Opens below))					Checked out to Renuka Devi V (20019T)		31/01/2024	48850

The 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

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.

There are no comments on this title.

to post a comment.