Mathematics and Music (Mathematical World)

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9780821848739: Mathematics and Music (Mathematical World)

Many people intuitively sense that there is a connection between mathematics and music. If nothing else, both involve counting. There is, of course, much more to the association. David Wright's book is an investigation of the interrelationships between mathematics and music, reviewing the needed background concepts in each subject as they are encountered. Along the way, readers will augment their understanding of both mathematics and music. The text explores the common foundations of the two subjects, which are developed side by side. Musical and mathematical notions are brought together, such as scales and modular arithmetic, intervals and logarithms, tone and trigonometry, and timbre and harmonic analysis. When possible, discussions of musical and mathematical notions are directly interwoven. Occasionally the discourse dwells for a while on one subject and not the other, but eventually the connection is established, making this an integrative treatment of the two subjects. The book is a text for a freshman level college course suitable for musically inclined or mathematically inclined students, with the intent of breaking down any apprehension that either group might have for the other subject. Exercises are given at the end of each chapter. The mathematical prerequisites are a high-school level familiarity with algebra, trigonometry, functions, and graphs. Musically, the student should have had some exposure to musical staffs, standard clefs, and key signatures, though all of these are explained in the text.

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Review:

In classroom use, this polished book gives mathematics students a demystification of music theory's prerequisites and music students a motivated selective review of high school mathematics. --CHOICE Magazine

This book is written with a different spirit. It reviews some basic concepts in both mathematics and music from the very beginning, presuming no background in either of these fields. ...Wright has packed an ambitious overview into 150 printed pages. --Springer Science & Business

All the necessary mathematical and musical theory and notations are introduced as they are needed, and the book is clearly illustrated, easy to read and learn from, and certainly to be recommended. ...the author's treatment of the subject is down to earth and realistic, and I certainly plan to use the book in future courses that I teach on the subject. --LMS Newsletter

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ISBN 10: 0821848739 ISBN 13: 9780821848739
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David Wright
Editorial: American Mathematical Society, United States (2009)
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Descripción American Mathematical Society, United States, 2009. Paperback. Estado de conservación: New. New ed.. Language: English . Brand New Book. Many people intuitively sense that there is a connection between mathematics and music. If nothing else, both involve counting. There is, of course, much more to the association. David Wright s book is an investigation of the interrelationships between mathematics and music, reviewing the needed background concepts in each subject as they are encountered. Along the way, readers will augment their understanding of both mathematics and music. The text explores the common foundations of the two subjects, which are developed side by side. Musical and mathematical notions are brought together, such as scales and modular arithmetic, intervals and logarithms, tone and trigonometry, and timbre and harmonic analysis. When possible, discussions of musical and mathematical notions are directly interwoven. Occasionally the discourse dwells for a while on one subject and not the other, but eventually the connection is established, making this an integrative treatment of the two subjects. The book is a text for a freshman level college course suitable for musically inclined or mathematically inclined students, with the intent of breaking down any apprehension that either group might have for the other subject. Exercises are given at the end of each chapter. The mathematical prerequisites are a high-school level familiarity with algebra, trigonometry, functions, and graphs. Musically, the student should have had some exposure to musical staffs, standard clefs, and key signatures, though all of these are explained in the text. Nº de ref. de la librería AAN9780821848739

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David Wright
Editorial: American Mathematical Society, United States (2009)
ISBN 10: 0821848739 ISBN 13: 9780821848739
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Descripción American Mathematical Society, United States, 2009. Paperback. Estado de conservación: New. New ed.. Language: English . Brand New Book. Many people intuitively sense that there is a connection between mathematics and music. If nothing else, both involve counting. There is, of course, much more to the association. David Wright s book is an investigation of the interrelationships between mathematics and music, reviewing the needed background concepts in each subject as they are encountered. Along the way, readers will augment their understanding of both mathematics and music. The text explores the common foundations of the two subjects, which are developed side by side. Musical and mathematical notions are brought together, such as scales and modular arithmetic, intervals and logarithms, tone and trigonometry, and timbre and harmonic analysis. When possible, discussions of musical and mathematical notions are directly interwoven. Occasionally the discourse dwells for a while on one subject and not the other, but eventually the connection is established, making this an integrative treatment of the two subjects. The book is a text for a freshman level college course suitable for musically inclined or mathematically inclined students, with the intent of breaking down any apprehension that either group might have for the other subject. Exercises are given at the end of each chapter. The mathematical prerequisites are a high-school level familiarity with algebra, trigonometry, functions, and graphs. Musically, the student should have had some exposure to musical staffs, standard clefs, and key signatures, though all of these are explained in the text. Nº de ref. de la librería AAN9780821848739

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Descripción American Mathematical Society, 2009. Paperback. Estado de conservación: New. Nº de ref. de la librería DADAX0821848739

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Descripción Amer Mathematical Society, 2009. Paperback. Estado de conservación: Brand New. new ed. edition. 161 pages. 9.75x6.75x0.25 inches. In Stock. Nº de ref. de la librería __0821848739

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Descripción American Mathematical Society, 2009. Paperback. Estado de conservación: New. book. Nº de ref. de la librería M0821848739

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Descripción American Mathematical Society, 2009. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería P110821848739

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Descripción American Mathematical Society. PAPERBACK. Estado de conservación: New. 0821848739 New Condition. Nº de ref. de la librería NEW7.0420941

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