Contributions to the Founding of the Theory of Transfinite Numbers (Dover Books on Mathematics)

Georg Cantor

ISBN 10: 0486600459 / ISBN 13: 9780486600451

Published by Dover Publications, 1955

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Bibliographic Details

Title: Contributions to the Founding of the Theory ...

Publisher: Dover Publications

Publication Date: 1955

Binding: Paperback

Condition: Very Good

About this title

Synopsis:

The famous articles, 1895–7, that founded a new branch of mathematics.
Covers addition, multiplication and exponentiation of cardinal numbers, smallest transfinite cardinal numbers, ordinal types of simple ordered aggregates and operations on ordinal types. Develops theory of well-ordered aggregates; investigates ordinal numbers of well-ordered aggregates and more.
Translated with introduction by P. Jourdain.

From the Back Cover:

"In it, Jourdain outlines the contributions of many of Cantor's forerunners--including Fourier, Dirichlet, Cauchy, Weierstrass, Riemann, Dedekind, and Hankel--and then further contextualizes Cantor's groundbreaking theory by recounting and examining his earlier work. In this volume, Cantor addresses: -the addition and multiplication of powers, -the exponentiation of powers, -the finite cardinal numbers, -the smallest transfinite cardinal number aleph-zero, -addition and multiplication of ordinal types -well-ordered aggregates the ordinal numbers of well-ordered aggregates, -and much more. German mathematician GEORG CANTOR (1845-1918) is best remembered for formulating set theory. His work was considered controversial at the time, but today he is widely recognized for his important contributions to the field of mathematics."