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Infinity: Beyond the Beyond the Beyond Paperback – November 1, 2007
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Praise for Lillian Lieber and Infinity
"The interpolations tying mathematics into human life and thought are brilliantly clear."Booklist
"Her presentation is conversational and humorous, and should help to simplify some complex concepts."Kirkus
"Another excellent book for the lay reader of mathematics In explaining [infinity], the author introduces the reader to a good many other mathematical terms and concepts that seem unintelligible in a formal text but are much less formidable when presented in the author's individual and very readable style."Library Journal
"Mrs. Lieber, in this text illustrated by her husband, Hugh Gray Lieber, has tackled the formidable task of explaining infinity in simple terms, in short line, short sentence technique popularized by her in The Education of T.C. MITS."Chicago Sunday Tribune
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Top Customer Reviews
Infinity: Beyond the Beyond the Beyond presents an account of how mathematics has learned to deal with the infinite, primarily through the work of Georg Cantor. Controversial at first, Cantor's set theory and transfinite arithmetic are now part of the foundations of modern mathematics. Perhaps the most startling idea to be had from this book is that infinite sets are not all the same size.
I have before me a copy of the 1953 original, as well as the 2007 abridgement. Aside from the fact that the older book is a hardcover, the abridgement is the better book. The editor, Barry Mazur, a mathematician at Harvard, has removed the dated, nonmathematical introductory material and the chapters on calculus. This book is now a superb layman's guide to the mathematics of transfinities.
If you would like more biography and less mathematics, you might try The Mystery of the Aleph: Mathematics, the Kabbalah, and the Search for Infinity, by Amir D. Aczel. And two magazine articles are worth seeking out: "Georg Cantor and the Origins of Transfinite Set Theory," by Joseph W. Dauben, Scientific American, June 1983; and "Non-Cantorian Set Theory," by Paul J. Cohen and Reuben Hersh, Scientific American, December 1967.
Note: In 1900, David Hilbert put forth a list of the 23 most important unsolved problems in mathematics. At the head of the list was Cantor's continuum hypothesis. The problem was still open when the Liebers wrote their book.Read more ›
But if it come to having more reading about the Infinity with even les mathematic (But personally I like heavy mathematic and formulas), then I will recommend these books: Amir D. Aczel: "The Mystery of the Aleph, Mathematics, the Kabbalah, and the Search for Infinity", and Eli Maor: "To Infinity and Beyond, A Cultural History of the Infinity". But if interested in much mathematic and geometry (much parallel to how we are watching it used in fractals) then we for example have a 152 sides, A5, book, written by Leo Zippin: "Uses of Infinity", first printed in 1962, and mine, from Dover, in 2000.
But now a day we in many books are reading about the Infinity, especially since we around 90 years ago started reading, thinking, and speculating about the Infinity of parallel Universes.
As a 10th grader with a fondness for math, it was great. I think I'd seen a little bit about transfinite numbers in George Gamow's "1 2 3 Infinity", but this was an amazing tour of transfinite numbers, written so it could be understood by T C Mits. I learned a lot from it -- a real mind stretcher. I later recognized other books by the same author by the illustrations -- If you know her other books, nothing more need be said.
I've not seen the book in over 40 years, but decided I needed to find a copy -- it's one of the favorite books I read before college. I was looking at my copy of "The Education of T.C.Mits" and decided to see what I could find.
Most Recent Customer Reviews
This is a wonderful book for an introduction to a topic that many don't realize how rich it is. Many think of infinity as just a really big number and it is so much more. Read morePublished on February 21, 2009 by J. Gregory