Contributions to the founding of the theory of transfinite numbers
Georg Cantor
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Contributions to the founding of the theory of transfinite numbers
by Georg Cantor
Published
May 1, 2007
Publisher
Cosimo Classics
Pages
224
ISBN-13
9781602064423
ISBN-10
1602064423
Description
One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs. Cantor first develops the elementary definitions and operations of cardinal and ordinal numbers and analyzes the concepts of "cardinality" and "ordinality." He covers such topics as the addition, multiplication, and exponentiation of cardinal numbers, the ordinal types of simply ordered aggretates, operations on ordinal types, the ordinal types of the linear continuum, and others. He then develops a theory of well-ordered aggregates, and investigates the ordinal numbers of well-ordered aggregates and the properties and extent of the transfinite ordinal numbers. -- from back cover.
Subjects
Frequently Asked Questions
How many pages are in Contributions to the founding of the theory of transfinite numbers?
This edition of Contributions to the founding of the theory of transfinite numbers has approximately 224 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Contributions to the founding of the theory of transfinite numbers?
For most readers, Contributions to the founding of the theory of transfinite numbers typically takes between 4h 40m and 3h 7m to complete. This is based on the book's length of approximately 56,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 3h 44m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 8 days • Estimated word count: 56,000 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Contributions to the founding of the theory of transfinite numbers?
The estimated word count for Contributions to the founding of the theory of transfinite numbers is approximately 56,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Contributions to the founding of the theory of transfinite numbers?
Contributions to the founding of the theory of transfinite numbers was written by Georg Cantor.
When was Contributions to the founding of the theory of transfinite numbers published?
The publication date for this specific edition is May 1, 2007. The original work may have been published on a different date.