Books on Pre-Cantorian Infinity
Title	Author	Pub Date	Publisher	Amazon Rank	Description
A Brief History of Infinity	Paolo Zellini	2005	Penguin Global	698,926	Emphasis more on philosophy of infinity in mathematics than on the mathematics itself
Everything and More: A Compact History of Infinity	David Foster Wallace	2003	W. W. Norton & Company	472,885	A survey of the mathematical treatment of the infinite from the beginnings of history up to the time of Cantor.
Fragments of Infinity: A Kaleidoscope of Math and Art	Ivars Peterson	2001	Wiley	145,696	This is a unique book that looks at artistic creations inspired by mathematical formulas of various kinds.
From Five Fingers to Infinity: A Journey Through the History of Mathematics	Frank Swetz	1994	Open Court Publishing Company	763,660	Emphasis on the history of mathematical thought, with the concept of the infinite as a common thread.
From Zero to Infinity: What Makes Numbers Interesting	Constance Reid	2006	A K Peters, Ltd	171,627	Takes the angle of focussing on a few particular numbers as a device for introducing mathematical ideas to the layman.
Gödel, Escher, Bach: The Eternal Golden Braid	Douglas Hofstadter	1979 republished: 1999	Basic Books	700	Hofstadter won the Pulitzer Prize in 1979 for this work, which introduces common themes woven thorugh the fields of mathematical logic, the work of Escher, and the compositions of Bach.
Infinity: The Quest to Think the Unthinkable	Brian Clegg	2003	Carroll & Graf Publishers	616,115	Beginner’s book about how the infinite plays a role in the development of modern science
Keys to Infinity	Clifford A. Pickover	1997	Wiley	1,147,354	A book of brain-teaser puzzles that are tangentially related to the concept of infinity
Numbers and Infinity: A Historical Account of Mathematical Concepts	Ernst Sondheimer	2006	Dover Publications	643,696	An introduction to mathematical ideas.
One Two Three . . . Infinity: Facts and Speculations	George Gamow	1988	Dover Publications	27,303	A friendly introduction to math and science, intended for the younger mind (pre-high school).
Playing With Infinity	Rozsa Peter	1976	Dover	705,407	User-friendly intro to mathematical ideas including some of the history behind the modern understanding of mathematical infinite.
The Art of the Infinite: The Pleasures of Mathematics	Robert and Ellen Kaplan	2003	Oxford University Press	558,603	Introduction to mathematical ideas leading up to “infinity”. They declare "Mathematics is the art of the infnite."
To Infinity and Beyond	Eli Maor	1991	Princeton University Press	96,358	Examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences
Understanding Infinity: The Mathematics of Infinite Processes	A. Gardiner	2003	Dover Publications	915,219	A step-by-step intro for the beginner to calculus ideas. "Infinite" here has to do with the "limit" concept in calculus
Uses of Infinity	Leo Zippin	1962	Dover Publications	802,959	Introduces calculus concepts for the beginner. Leo Zippin is a well-known mathematician.