The Math Behind the Music PDF Download

Author: Leon Harkleroad
Publisher: Cambridge University Press
ISBN: 0521810957
Category : Mathematics
Languages : en
Pages : 7

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Book Description
Accompanying CD-ROM includes musical selections.

Author: Gareth E. Roberts
Publisher: JHU Press
ISBN: 1421419181
Category : Mathematics
Languages : en
Pages : 320

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Book Description
A guided tour of the mathematical principles inherent in music. 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.

Author: Dave Benson
Publisher: Cambridge University Press
ISBN: 0521853877
Category : Mathematics
Languages : en
Pages : 426

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Book Description
This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.

Author: Trudi Hammel Garland
Publisher: Dale Seymour Publications Secondary
ISBN: 9780866518291
Category : Music
Languages : en
Pages : 0

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Book Description
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.

Author: Gareth E. Roberts
Publisher: JHU Press
ISBN: 142141919X
Category : Mathematics
Languages : en
Pages : 320

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Book Description
A guided tour of the mathematical principles inherent in music. 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.

Author: Bryan H. Suits
Publisher: Cambridge University Press
ISBN: 1108844650
Category : Science
Languages : en
Pages : 421

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Book Description
This engaging undergraduate text uses the performance, recording, and enjoyment of music to present basic principles of physics. The narrative lays out specific results from physics, as well as some of the methodology, thought processes, and 'interconnectedness' of physics concepts, results, and ideas. Short chapters start with basic definitions and everyday observations, and ultimately work through standard topics including vibrations, waves, acoustics, and electronics applications. Each chapter includes problems, some of which are suited for longer-term projects, and suggestions for extra reading which guide students toward a deeper understanding of the physics behind music application. To aid teaching, additional review questions, audio and video clips, and suggestions for class activities are provided online for instructors.

Author: Sylvia J. Connolly
Publisher: Teacher Created Materials
ISBN: 1480772313
Category :
Languages : en
Pages : 7

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Book Description
Sharpen mathematical problem-solving skills with these brain-teasing activities. Parents, students, and teachers will love these fun challenges, puzzles, and logical thinking pages. They're a great way to practice higher-order thinking skills.

Author: Heather MacLean
Publisher: Balboa Press
ISBN: 1504351584
Category : Music
Languages : en
Pages : 424

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Book Description
This book is about teaching the joy and understanding of classical music to young children. It is about enhancing intelligence and building self-confidence through music. It is about leading the child into a journey of self-discovery and many joyful experiences, through music, that should last a lifetime. The book is full of practical ideas, methods, techniques, and lesson plans for school teachers, parents, hospital caregivers, and musicians at every level who could obtain wonderful results through teaching, sharing, and living this timeless art. It is aimed at finding a way to retain this beautiful art in our education system. It is aimed at possibly creating loving work for parents, grandparents, caregivers, and young students. It is aimed at spreading love and communication through an art that has been around for centuries and is so readily available to all through modern technology. It is aimed at teaching the world to sing, love, laugh, communicate, and play ... through classical music! This book addresses the concepts, theories, and performance aspects of music, like many other books written, but with detailed lesson plans and stories so a person, with a short course of music training, could get straight to work and start teaching a music class. The book is written with step-by-step processes that are fun for children. The activities and ideas in this book have been practised with countless children by the author for the past twenty-two years.

Author: Polina Eismont
Publisher: Springer
ISBN: 3319274988
Category : Computers
Languages : en
Pages : 181

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Book Description
This book constitutes the proceedings of the First International Workshop on Language, Music and Computing, LMAC 2015, held in St. Petersburg, Russia, in April 2015. The 13 papers presented in this volume were carefully reviewed and selected from 38 submissions. They were organized in topical sections on music and language in education; corpus studies of language and music; problems of notation; and linguistic studies of music.

Author: Guerino Mazzola
Publisher: Springer
ISBN: 331942937X
Category : Computers
Languages : en
Pages : 314

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Book Description
This textbook is a first introduction to mathematics for music theorists, covering basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus, and gestures. It approaches these abstract themes in a new way: Every concept or theorem is motivated and illustrated by examples from music theory (such as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The book includes many illustrations, and exercises with solutions.