By Lillian Lieber: Infinity: Beyond the Beyond the Beyond



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Wonderful Fast delivery and very good uality Couldn t have asked for a better service Thanks Jean I first read this book 5 years ago but now I have just have been reading it once again and I again find the book to be fine by its easy understandable text and the many drawings by which trying to show geometrical and speculatively how to look and think about the Infinitive And thereby being helpful especially to ersons who during self study are trying to learn about the mathematical behind the Infinity which Cantor The Art of Standing Still proved and how Cantorrobably was speculating when he came to these ideas and conclusionsBut if it come to having reading about the Infinity with even les mathematic But A Ladys Honor (Cliffs of Cornwall, 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 mucharallel 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 Bob and Larry in the Case of the Missing Patience printed in 1962 and mine from Dover in 2000But now 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 whenresented in the authors individual and very readable style—Library Journal The interpolations tying mathematics into human life and thought are brilliantly clear—Booklist Mrs Lieber in this text illustrated by her husband

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 The War to End All Wars parallel Universes Thanks Easy transactionthank you Product exceeds expectations Nobody explains mathematical ideas for the layman as does Lillian R Lieber And the fanciful illustrations that always accompany her work done by Hugh Gray Lieber are amusing and informativeInfinity Beyond the Beyond the Beyondresents an account of how mathematics has learned to deal with the infinite Death Comes for the Archbishop primarily through the work of Georg Cantor Controversial at first Cantor s set theory and transfinite arithmetic are nowart 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 sizeI 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 tran. Ugh Gray Lieber has tackled the formidable task of explaining infinity in simple terms in short line short sentence techniue opularized by her in The Education of TC MITS—Chicago Sunday Tribune Infinity another delightful mathematics book from the creators of The Education of TC MITS offers an entertaining yet thorough explanation of the concept of yes infinity Accessible to non mathematicians this book also cleverly connects mathematical reasoning to larger issues.

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SfinitiesIf you would like biography and less mathematics you might try The Mystery of the Aleph 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 1967Note In 1900 David Hilbert ut forth a list of the 23 most important unsolved The Naked Man problems in mathematics At the head of the list was Cantor s continuum hypothesis Theroblem was still open when the Liebers wrote their book In 1963 Stanford University mathematician Paul Cohen extending work of Kurt Godel Damias Children proved that the continuum hypothesis is actually independent of the generally accepted axioms of set theory and earned the Fields medal for it What fun Explains a difficult and strange subject clearly and is amplified by associated and delightful drawings that illustrate and translate the mathematicaloints into artistic impression The authors Cutremur de timp proceed slowly step by step and the work does not reuire advanced mathematical knowledge just the ability to open the mind to different and new ways of understanding concepts. In society The new foreword by Harvard mathematicsrofessor Barry Mazur is a tribute to the Liebers influence on generations of mathematicians Lillian Lieber was a rofessor and head of the Department of Mathematics at Long Island University She wrote a series of light hearted and well respected math books many of them illustrated by her husband Barry Mazur is the Gerhard Gade University Professor of Mathematics at Harvard University and is the author of Imagining Number.

Lillian Rosanoff Lieber 1886 1986 was head of the Department of Mathematics at Long Island University and the Galois Institute of Mathematics and Art in Brooklyn New York She wrote a series of lighthearted and well respected math books in the 1940s which were illustrated by her husband Hugh Lieber