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Music A Mathematical Offering

Music  A Mathematical Offering Author Dave Benson
ISBN-10 9780521853873
Release 2007
Pages 411
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Explores interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.


Music Author David J. Benson
ISBN-10 1139641638
Release 2006
Pages 427
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Explores interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.

Musical Mathematics

Musical Mathematics Author Cris Forster
ISBN-10 0811874079
Release 2010-07-14
Pages 952
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Musical Mathematics is the definitive tome for the adventurous musician. Integrating mathematics, music history, and hands-on experience, this volume serves as a comprehensive guide to the tunings and scales of acoustic instruments from around the world. Author, composer, and builder Cris Forster illuminates the mathematical principles of acoustic music, offering practical information and new discoveries about both traditional and innovative instruments.With this knowledge readers can improve, or begin to build, their own instruments inspired by Forster's creationsshown in 16 color plates. For those ready to step outside musical conventions and those whose curiosity about the science of sound is never satisfied, Musical Mathematics is the map to a new musical world.

The Math Behind the Music

The Math Behind the Music Author Leon Harkleroad
ISBN-10 9780521810951
Release 2006-08-14
Pages 143
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Looks at the mathematical aspects of music, covering such topics as compositional techniques, scales, tuning systems, and music criticism.

Emblems of the Mind

Emblems of the Mind Author Edward Rothstein
ISBN-10 0380727471
Release 1996-08-01
Pages 263
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Unravels the mystery of the relationship between music and mathematics, discussing their differences and their surprising similarities--including their origins and historical links

The Structure of Recognizable Diatonic Tunings

The Structure of Recognizable Diatonic Tunings Author Easley Blackwood
ISBN-10 9781400854073
Release 2014-07-14
Pages 330
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In a comprehensive work with important implications for tuning theory and musicology, Easley Blackwood, a distinguished-composer, establishes a mathematical basis for the family of diatonic tunings generated by combinations of perfect fifths and octaves. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Mathematical Analysis of Physical Problems

Mathematical Analysis of Physical Problems Author Philip Russell Wallace
ISBN-10 9780486646763
Release 1972
Pages 616
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This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.

Music and Mathematics

Music and Mathematics Author John Fauvel
ISBN-10 0199298939
Release 2006
Pages 189
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From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authorized by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional and analytical relationships between mathematics and music are unfolded and explored with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.

The Cambridge History of Western Music Theory

The Cambridge History of Western Music Theory Author Thomas Christensen
ISBN-10 0521623715
Release 2002-04-25
Pages 1022
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The Cambridge History of Western Music Theory is the first comprehensive history of Western music theory to be published in the English language. A collaborative project by leading music theorists and historians, the volume traces the rich panorama of music-theoretical thought from the Ancient Greeks to the present day. Richly enhanced with illustrations, graphics, examples and cross-citations, as well as being thoroughly indexed and supplemented by comprehensive bibliographies, this book will be an invaluable resource for students and scholars alike.

Ingenious Mathematical Problems and Methods

Ingenious Mathematical Problems and Methods Author Louis A. Graham
ISBN-10 9780486282930
Release 2013-04-10
Pages 246
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Collection of 100 of the best submissions to a math puzzle column features problems in engineering situations, logic, number theory, and geometry. Most solutions include details of several different methods.


Sciencia Author Matt Tweed
ISBN-10 9780802778994
Release 2011-11
Pages 416
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Collects six short illustrated volumes covering topics in mathematics, physics, chemistry, biology, evolution, and astronomy.

Our Mathematical Universe

Our Mathematical Universe Author Max Tegmark
ISBN-10 9780385350495
Release 2014-01-07
Pages 432
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Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

From Music to Mathematics

From Music to Mathematics Author
ISBN-10 9781421419190
Release 2016-02-11
Pages 320
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Taking a "music first" approach, Gareth E. Roberts’s From Music to Mathematics will inspire students to learn important, interesting, and at times advanced mathematics. Ranging from a discussion of the geometric sequences and series found in the rhythmic structure of music to the phase-shifting techniques of composer Steve Reich, the musical concepts and examples in the book motivate a deeper study of mathematics. Comprehensive and clearly written, From Music to Mathematics is designed to appeal to readers without specialized knowledge of mathematics or music. Students are taught the relevant concepts from music theory (notation, scales, intervals, the circle of fifths, tonality, etc.), with the pertinent mathematics developed alongside the related musical topic. The mathematics advances in level of difficulty from calculating with fractions, to manipulating trigonometric formulas, to constructing group multiplication tables and proving a number is irrational. Topics discussed in the book include ? Rhythm ? Introductory music theory ? The science of sound ? Tuning and temperament? Symmetry in music ? The Bartók controversy ? Change ringing ? Twelve-tone music? Mathematical modern music ? The Hemachandra–Fibonacci numbers and the golden ratio? Magic squares ? Phase shifting Featuring numerous musical excerpts, including several from jazz and popular music, each topic is presented in a clear and in-depth fashion. Sample problems are included as part of the exposition, with carefully written solutions provided to assist the reader. The book also contains more than 200 exercises designed to help develop students’ analytical skills and reinforce the material in the text. From the first chapter through the last, readers eager to learn more about the connections between mathematics and music will find a comprehensive textbook designed to satisfy their natural curiosity.

Math and Music

Math and Music Author Trudi Hammel Garland
ISBN-10 0866518290
Release 1994-01
Pages 162
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From the beat of a tribal drum to a choir of crickets--music is everywhere. Math and Music explores the music of various cultures and the sounds heard in nature while highlighting the mathematical concepts, such as proportion, patterns, Fibonacci numbers, geometric transformations, and trigonometry, found in music. The companion poster explores mysterious connections between seemingly different entities, such as music and animals! A four-page guide explains the connections students may discover.

Physics of the Piano

Physics of the Piano Author Nicholas J. Giordano
ISBN-10 9780192506634
Release 2016-10-27
Pages 184
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Why does a piano sound like a piano? A similar question can be asked of virtually all musical instruments. A particular note-such as middle C-can be produced by a piano, a violin, a clarinet, and many other instruments, yet it is easy for even a musically untrained listener to distinguish between these different instruments. A central quest in the study of musical instruments is to understand why the sound of the "same" note depends greatly on the instrument, and to elucidate which aspects of an instrument are most critical in producing the musical tones characteristic of the instrument. The primary goal of this book is to investigate these questions for the piano. The explanations in this book use a minimum of mathematics, and are intended for anyone who is interested in music and musical instruments. At the same time, there are many insights relating physics and the piano that will likely be interesting and perhaps surprising for many physicists.

From Polychords to P lya

From Polychords to P  lya Author Michael Keith
ISBN-10 0963009702
Release 1991-06-01
Pages 166
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From Polychords to P lya has been writing in one form or another for most of life. You can find so many inspiration from From Polychords to P lya also informative, and entertaining. Click DOWNLOAD or Read Online button to get full From Polychords to P lya book for free.

The Topos of Music

The Topos of Music Author Guerino Mazzola
ISBN-10 9783034881418
Release 2012-12-06
Pages 1344
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With contributions by numerous experts