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On Cantor and the Transfinite, Brand New, Free shipping in the US
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eBay item number:364166255659
Item specifics
- Condition
- Book Title
- On Cantor and the Transfinite
- ISBN
- 9781634623278
- Publication Year
- 2023
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Subject Area
- Mathematics
- Publication Name
- On Cantor and the Transfinite
- Publisher
- Technics Publications, LLC
- Subject
- General
- Number of Pages
- VIII, 138 Pages
About this product
Product Identifiers
Publisher
Technics Publications, LLC
ISBN-10
1634623274
ISBN-13
9781634623278
eBay Product ID (ePID)
26059039799
Product Key Features
Number of Pages
VIII, 138 Pages
Language
English
Publication Name
On Cantor and the Transfinite
Publication Year
2023
Subject
General
Type
Textbook
Subject Area
Mathematics
Format
Trade Paperback
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2023-931249
Illustrated
Yes
Synopsis
A set in mathematics is just a collection of elements; an example is the set of natural numbers {1, 2, 3, ...}. Simplifying somewhat, the theory of sets can be regarded as the foundation on which the whole of mathematics is built; and the founder of set theory is the German logician and mathematician Georg Cantor (1845 1918). However, the aspect of Cantor's work that's most widely known-or most controversial, at any rate-isn't so much set theory in general, but rather those parts of that theory that have to do with infinite sets in particular. Cantor claimed among other things that the infinite set of real numbers contains strictly more elements than the infinite set of natural numbers. From this result, he concluded that there's more than one kind of infinity; in fact, he claimed that there are an infinite number of different infinities, or transfinite numbers. (He also believed these results had been communicated to him by God.) The aim of this book is to explain and investigate these claims of Cantor's in depth (and question them, where appropriate). It's not a textbook, though; instead, it's a popular account-it tells a story-and the target audience is interested lay readers, not mathematicians or logicians. What little mathematics is needed to understand the story is explained in the book itself., A set in mathematics is just a collection of elements; an example is the set of natural numbers {1, 2, 3, ...}. Simplifying somewhat, the theory of sets can be regarded as the foundation on which the whole of mathematics is built; and the founder of set theory is the German logician and mathematician Georg Cantor (1845-1918). However, the aspect of Cantor's work that's most widely known-or most controversial, at any rate-isn't so much set theory in general, but rather those parts of that theory that have to do with infinite sets in particular. Cantor claimed among other things that the infinite set of real numbers contains strictly more elements than the infinite set of natural numbers. From this result, he concluded that there's more than one kind of infinity; in fact, he claimed that there are an infinite number of different infinities, or transfinite numbers. (He also believed these results had been communicated to him by God.) The aim of this book is to explain and investigate these claims of Cantor's in depth (and question them, where appropriate). It's not a textbook, though; instead, it's a popular account-it tells a story-and the target audience is interested lay readers, not mathematicians or logicians. What little mathematics is needed to understand the story is explained in the book itself.
LC Classification Number
QA248.D265 2023
Item description from the seller
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Fast Shipping!
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Nice Book And Fast Delivery!!!
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Item as described, well packaged, painfully slow shipping transit time (15 days). If you need a copy quickly better get it elsewhere.
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Thank you nice new book. This book needed to be republished good job.