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. |