• Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor

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    • Music by the Numbers: From Pythagoras to Schoenberg
    • Eli Maor
    • Page: 176
    • Format: pdf, ePub, mobi, fb2
    • ISBN: 9780691176901
    • Publisher: Princeton University Press

     

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    Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century Music is filled with mathematical elements, the works of Bach are often said to possess a math-like logic, and Igor Stravinsky said "musical form is close to mathematics," while Arnold Schoenberg, Iannis Xenakis, and Karlheinz Stockhausen went further, writing music explicitly based on mathematical principles. Yet Eli Maor argues that music has influenced math at least as much as math has influenced music. Starting with Pythagoras, proceeding through the work of Schoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who played a role in the age-old relationship between music, mathematics, and the sciences, especially physics and astronomy. Music by the Numbers explores key moments in this history, particularly how problems originating in music have inspired mathematicians for centuries. Perhaps the most famous of these problems is the vibrating string, which pitted some of the greatest mathematicians of the eighteenth century against each other in a debate that lasted more than fifty years and that eventually led to the development of post-calculus mathematics. Other highlights in the book include a comparison between meter in music and metric in geometry, complete with examples of rhythmic patterns from Bach to Stravinsky, and an exploration of a suggestive twentieth-century development: the nearly simultaneous emergence of Einstein's theory of relativity and Schoenberg's twelve-tone system. Weaving these compelling historical episodes with Maor's personal reflections as a mathematician and lover of classical music, Music by the Numbers will delight anyone who loves mathematics and music.



     

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  • William Gibson's Alien 3 by William Gibson, Johnnie Christmas

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    • William Gibson's Alien 3
    • William Gibson, Johnnie Christmas
    • Page: 136
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    • ISBN: 9781506708119
    • Publisher: Dark Horse Comics

     

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  • Darkdawn. Jay Kristoff

     

    Darkdawn

     


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    ISBN: 9781250073044 | 512 pages | 13 Mb
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    • Darkdawn
    • Jay Kristoff
    • Page: 512
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    • ISBN: 9781250073044
    • Publisher: St. Martin''s Publishing Group

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  • Rare Breed: A Guide to Success for the Defiant, Dangerous, and Different. Sunny Bonnell, Ashleigh Hansberger

     

    Rare Breed: A Guide to Success for the Defiant, Dangerous, and Different

     


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    ISBN: 9780062856937 | 320 pages | 8 Mb
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    • Rare Breed: A Guide to Success for the Defiant, Dangerous, and Different
    • Sunny Bonnell, Ashleigh Hansberger
    • Page: 320
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    • ISBN: 9780062856937
    • Publisher: HarperCollins Publishers

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    An unconventional business book for the rebels and misfits—the Rare Breeds—who don’t fit the traditional mold, offering an approach that’s anything but business as usual. There is an unofficial rule for success: you need to change who you are to achieve greatness. But it doesn’t have to be that way. What if you could leverage your so-called vices and shortcomings and make them your super powers?  — Rebellious. Audacious. Obsessed. Hot-Blooded. Weird. Hypnotic. Emotional — These seven vices are what acclaimed leadership and brand experts Sunny Bonnell and Ashleigh Hansberger identify as keys to becoming a Rare Breed—those standout leaders and achievers—in any career. Rare Breed is an unorthodox business book for the rebels, outsiders, and provocateurs — anyone with the ambition to lead, create, inspire and provoke change on your own terms by owning all of who you are, not just the pretty parts. But be careful, each virtue has a seductive and dualistic nature that can lead to success or sabotage. Unique stories. Unconventional advice. Practical tools. Bonnell and Hansberger lay it all out to help fellow Rare Breeds understand, unlock, and direct the potential that’s been slumbering in them to rise above the ordinary, own who they are, and push things forward. 

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  • Dog Man: Lord of the Fleas. Dav Pilkey

     

    Dog Man: Lord of the Fleas

     


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    ISBN: 9781338302493 | 256 pages | 7 Mb
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    • Dog Man: Lord of the Fleas
    • Dav Pilkey
    • Page: 256
    • Format: pdf, ePub, fb2, mobi
    • ISBN: 9781338302493
    • Publisher: Scholastic, Inc.

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