Contributions to the Founding of the Theory of Transfinite Numbers

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Cosimo, Inc., May 1, 2007 - Cooking - 224 pages
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"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."

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User Review  - Landric - LibraryThing

As a teenager studying mathematics, I was fascinated by Cantor's notion of an infinity of infinities. Then I bought this book and read the arguments behind his theories, and realized that, although he ... Read full review



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Page v - This volume contains a translation of the two very important memoirs of Georg Cantor on transfinite numbers which appeared in 1895 and 1897. These memoirs are the final and logically purified statement of many of the most important results of the long series of memoirs begun by Cantor in 1870. A very full historical account of this work and the work of others which led up to it is given in the introduction, and the notes at the end contain indications of the progress made in the theory of transfinite...

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