Music by the Numbers

From Pythagoras to Schoenberg

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Author: Eli Maor

Publisher: Princeton University Press

ISBN: 1400889898

Category: Mathematics

Page: 176

View: 4595

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.

Mr. Natural's Christmas Carol Fake Book - Strictly by the Numbers -

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Author: Lynne Vanne

Publisher: Lulu.com

ISBN: 1304637131

Category: Performing Arts

Page: 40

View: 6211

19 of your favorite Christmas Carols - Strictly by the Numbers - Includes melody numbers, chord numbers and lyrics for each song Tips on how to make your own arrangement Songs are playable in any key on any instrument Includes Mr. Natural's Major Scale Intervalometer for piano/keyboards

Starting Out

Foundation Stage Mathematics

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Author: Beam Education

Publisher: Nelson Thornes

ISBN: 9781903142004

Category: Juvenile Nonfiction

Page: 128

View: 7266

"This file will tell you everything you want to know about young children learning mathematics. Starting Out explores the steps involved in learning the counting numbers, the subtleties of more and less and difference, and how pattern-making sets the basis for an understanding of algebra.

Love by the Numbers

How to Find Great Love or Reignite the Love You Have Through the Power of Numerology

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Author: Glynis McCants

Publisher: Sourcebooks, Inc.

ISBN: 1402244649

Category: Family & Relationships

Page: 352

View: 8524

The love you have always desired is in the Numbers… International bestselling author and media sensation Glynis McCants created this exciting guide to love through the power of Numerology because she believes that the greatest gift one can receive is that of true and lasting love. The secret is in understanding you and your partner by the Numbers, and gaining the insights you need to keep your love thriving! Glynis' celebrated system is a contemporary spin on the ancient Science of Numerology that is easy to use and amazingly accurate. She'll teach you the simple way to create a Numerology Blueprint that reveals what kind of mate would fulfill your—or a potential mate's—innermost needs and desires. If you're single, you'll learn how to pick the right partner from the start! If you're in a relationship that's lost its spark, you'll have the information you need to reignite the passionate love you once had. With Love by the Numbers as your guide, you can ensure that your love relationship stays healthy, satisfying, and on track for a lifetime. Acclaim for Glynis McCants L.A. Confidential magazine "To put it simply, if cupid and a clairvoyant were to have an affair, Glynis McCants would very much look like their offspring." Leeza Gibbons, talk show host "Whether it's the numbers of our favorite celebrity couples or our own bouts with cupid's arrow, we all want to gain more insight into what makes love work and how we can be better at it! Glynis' Numerology is like GPS for those who are tired of being lost on the road to love." John Edward, psychic medium "When I think about Numerology I think about two people: Pythagoras and his modern day equivalent, Glynis McCants, The Numbers Lady. Glynis has taken a historic metaphysical science and transformed it into an easy to understand, organized and quite honestly entertaining field of study. To sum it up, she's GOT your Number—now it's time for you to get it."

How to Direct a Musical

Broadway--your Way! : with Special Material for Working with Youth, Teens, the Disabled, Challenged, Retired, and Computers

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Author: David Young

Publisher: Taylor & Francis

ISBN: 9780878300525

Category: Performing Arts

Page: 161

View: 7473

Covers production, auditions, casting, rehearsals, acting, pacing, previews, and curtain calls

Essays on Handel and Italian Opera

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Author: Reinhard Strohm

Publisher: Cambridge University Press

ISBN: 9780521088350

Category: Biography & Autobiography

Page: 316

View: 8984

Reinhard Strohm examines the relationship between Handel's great operas and the earlier European Baroque tradition.