Books Discussing Cantor's Transfinite Cardinals
Title Author Pub Date Publisher Amazon Rank Description
Bridges to Infinity: The Human side of Mathematics Guillen 1985 Tarcher 873,059 This book does broach the subject of higher infinities, but is full of errors and was not well received.
Cantorian Set Theory and Limitation of Size Michael Hallett 1988 Clarendon Press 2,189,096 This is an excellent treatment of the history and philosophy of Cantor's work (one of several available in the market today), which treats mathematical issues, including Cantor's transfinite cardinals, in a primarily descriptive way.
From Here to Infinity Ian Stewart 1996 Oxford University Press, USA 55,317 Discusses higher infinities, but also touches on many other areas of mathematics.
Introduction to the History of Mathematics Howard Eves 1976 Holt, Rinehart, Winston 22,866 One of many excellent and scholarly works on the history of mathematics, which includes actual mathematical discussions to elucidate the historical account. Cantor's work is mentioned in the final chapter.
The Diagonal Infinity: Problems of Multiple Scales H. M. Hubey 1998 World Scientific Publishing Company 1,258,122 Gives a good treatment of higher infinities and Godel's work. Introduces mathematical philosophies. One of the deeper works of this category.
The Mathematics of Infinity: A Guide to Great Ideas Theodore G. Faticoni 2006 Wiley-Interscience 1,421,066 Discusses transfinite cardinals in a systematic, mathermatical way.