## Emblems of Mind: The Inner Life of Music and MathematicsThe chief music critic of The New York Times explores the mysterious relationship between music and mathematics, detailing their common origins, their historical interconnections, and the similarities in their stated goals. 20,000 first printing. |

### From inside the book

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Page 73

The difference between knotted and untangled circles of strings, for example, has

something to do with

and return to our starting point, or make lassos out of lines. As with spaces ...

The difference between knotted and untangled circles of strings, for example, has

something to do with

**loops**— how we move our pens from one point to anotherand return to our starting point, or make lassos out of lines. As with spaces ...

Page 74

74 We can see the differences between these

created by a small bit of string being held at the starting point by our fingers.

3, on the surface, is similar to the type of

74 We can see the differences between these

**loops**by imagining that they arecreated by a small bit of string being held at the starting point by our fingers.

**Loop**3, on the surface, is similar to the type of

**loop**we can imagine on a sphere: if we ...Page 77

. It has an infinite number of homotopy classes, an infinite number of types of ...

**Loops**on the plane are thus all equivalent to a point, which is actually a constant**loop**: it starts in one spot and stays there.**Loops**around a circle are quite different. It has an infinite number of homotopy classes, an infinite number of types of ...

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#### EMBLEMS OF MIND: The Inner Life of Music and Mathematics

User Review - KirkusA thoughtful exploration of the ``deep structure'' similarities between the intellectual graces of music and mathematics. Now chief music critic for the New York Times, Rothstein was trained as a ... Read full review

#### Emblems of mind: the inner life of music and mathematics

User Review - Not Available - Book VerdictRothstein, who is both a mathematician and a musician, is currently the chief music critic for the New York Times. In moving back and forth between the worlds of music and mathematics, he has ... Read full review

### Contents

THE NEED FOR METAPHOR | 3 |

XIV | 135 |

Selected Bibliography | 243 |

Copyright | |

1 other sections not shown

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### Common terms and phrases

Abraham Robinson abstract aesthetic analogy arpeggio asserted attempt Bach Bach's beauty become Beethoven's begin calculation Carl Friedrich Gauss century Chinese remainder theorem chord Classical close composition concepts connections constructed create define elements equivalent eurythmy example experience exploration feel fugue fundamental fundamental group G. H. Hardy geometry gesture harmony hear infinite number infinitesimal integers internal interpretation irrational numbers listen loop mapping mathe mathematical proof mathematician mathematics and music matics mean measure melodic metaphor Milton Babbitt move movement music and mathematics musical space nature notes notion objects overtones pattern phrase physical pitches play precisely prelude proof proportion ratio realm relations relationship reveal rhythm seemingly seems sense similarities simple Socrates sonata sonata form sort sound string structure surface tensions theme theory things thinking tion tonal music tones topology transformation truth understand universe variation vibrating voice Well-Tempered Clavier wine