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Introduction to the Theory of Sets
Set theory permeates much of contemporary mathematical thought. This text for undergraduates offers a natural introduction, developing the subject through observations of the physical world. Its progressive development leads from finite sets to cardinal numbers, infinite cardinals, and ordinals. Exercises appear throughout the text, with answers at the end. 1958 edition.
128 pages, Paperback
First published December 1, 1958
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Displaying 1 - 2 of 2 reviews
November 26, 2020
I knew very little about set theory when I started, and now I think I know a lot more! This is a very user-friendly mathbook for several reasons:
1. Language! This book actually writes out and explains reasoning and definitions.
2. Resources - this book includes a complete Glossary of all the words, theorems, and concepts, Symbols List, Index, Bibliography, Historical Overview, and Answers to all the Exercises in the back.
3. Examples - every concept has lots of examples to illustrate it, including the use of plenty of diagrams.
4. Transitions and Prior Learning - each section builds directly on a previous section. I never felt like I was looking at something totally new. From beginning to end I was working off of prior knowledge and just taking it a step further, and then another step, and then another . . .
5. Organization - this book is very well organized - every Chapter is divided into sections, and every section is divided into numbered paragraphs. This makes it very easy to read, because every paragraph introduces something new - the focus and direction of the text are clear.
I really liked this book - it's small, easy-to-read, and includes lots of supports for new learners.
1. Language! This book actually writes out and explains reasoning and definitions.
2. Resources - this book includes a complete Glossary of all the words, theorems, and concepts, Symbols List, Index, Bibliography, Historical Overview, and Answers to all the Exercises in the back.
3. Examples - every concept has lots of examples to illustrate it, including the use of plenty of diagrams.
4. Transitions and Prior Learning - each section builds directly on a previous section. I never felt like I was looking at something totally new. From beginning to end I was working off of prior knowledge and just taking it a step further, and then another step, and then another . . .
5. Organization - this book is very well organized - every Chapter is divided into sections, and every section is divided into numbered paragraphs. This makes it very easy to read, because every paragraph introduces something new - the focus and direction of the text are clear.
I really liked this book - it's small, easy-to-read, and includes lots of supports for new learners.
April 22, 2016
It is the most accessible intro into the Set Theory I came across. I do not think it would be enough for a student of maths, but it is definitely enough to understand the basics of infinite sets. My purpose of reading was to answer numerous questions of my 8 year old son about Aleph 0 and Omega plus 1, etc. This little book gave me all I needed.
Displaying 1 - 2 of 2 reviews