## The Art of the Infinite: Our Lost Language of NumbersIt is easy to be wary of mathematics - but as this book shows, drawing on science, literature and philosophy, its patterns are evrywhere. In witty and eloquent prose, Robert and Ellen Kaplan take mathematics back to its estranged audience, bringing understanding and clarity to a traditionally difficult subject, and revealing the beauty behind the equations. Only by letting loose our curiosity can we learn to appreciate the wonder that can be found in mathematics - an 'art' invented by humans, which is also timeless. |

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#### LibraryThing Review

User Review - neurodrew - LibraryThingSubtitled, "The Pleasures of Mathematics" this book is a collection of interesting recreations and problems, in algebra, number theory, geometry and constructons, and infinite set theory. Some of the ... Read full review

#### LibraryThing Review

User Review - fpagan - LibraryThingProperties (especially infinitistic ones) of different kinds of numbers, including Cantor's transfinite ordinals and cardinals. Suffused with equations, diagrams, *and* lyrical prose. Not a terribly advanced book, but a delightful one. Read full review

### Contents

Acknowledgements | |

An Invitation | |

Time and the mind | |

How Do We Hold These Truths? | |

Designs on a Locked Chest | |

The Infinite and the Indefinite | |

Skipping Stones | |

Euclid Alone | |

The Eagle of Algebra | |

Into the Highlands | |

The Infinite and the Unknown | |

Back of Beyond | |

The Abyss | |

Appendix | |

Bibliography | |

### Common terms and phrases

1−1 correspondence Alcibiades aleph algebra angle arithmetic axioms bisector Brouwer called can’t Cantor cardinality century Chapter circle circumcenter collinear complex numbers complex plane construct Continuum Hypothesis converge coordinates counting numbers decimal places Dedekind diagonal draw elements equal equation Euclid Euclidean Euclidean geometry example factor finite Gauss geometry give hence heptagon Hilbert Hippasus hypotenuse imagination induction infinite number infinity insight integers intersect intuition irrational length let’s line at infinity look mathematicians mathematics means meet midpoint mind multiplication natural numbers negative once ordinal numbers pairs parallel pattern pentagon perpendicular perspective polygon polynomial projective geometry projective plane proof prove Pythagorean rational number real numbers root extension field sense sequence sides square root square root extension straightedge subsets subtraction tetractys theorem things thought triangle’s triangular numbers turn vertices wrote