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Softcover ISBN:  9780821848739 
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Softcover ISBN:  9780821848739 
Product Code:  MAWRLD/28 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $52.00 
Sale Price:  $42.25 
eBook ISBN:  9781470411961 
Product Code:  MAWRLD/28.E 
List Price:  $55.00 
MAA Member Price:  $49.50 
AMS Member Price:  $44.00 
Sale Price:  $35.75 
Softcover ISBN:  9780821848739 
eBook ISBN:  9781470411961 
Product Code:  MAWRLD/28.B 
List Price:  $120.00 $92.50 
MAA Member Price:  $108.00 $83.25 
AMS Member Price:  $96.00 $74.00 
Sale Price:  $78.00 $60.13 

Book DetailsMathematical WorldVolume: 28; 2009; 161 ppMSC: Primary 00;
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 highschool 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.
ReadershipUndergraduate students interested in math and/or music.

Table of Contents

Chapters

1. Basic mathematical and musical concepts

2. Horizontal structure

3. Harmony and related numerology

4. Ratios and musical intervals

5. Logarithms and musical intervals

6. Chromatic scales

7. Octave identification and modular arithmetic

8. Algebraic properties of the integers

9. The integers as intervals

10. Timbre and periodic functions

11. The rational numbers as musical intervals

12. Tuning the scale to obtain rational intervals


Additional Material

Reviews

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 
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


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 Book Details
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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 highschool 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.
Undergraduate students interested in math and/or music.

Chapters

1. Basic mathematical and musical concepts

2. Horizontal structure

3. Harmony and related numerology

4. Ratios and musical intervals

5. Logarithms and musical intervals

6. Chromatic scales

7. Octave identification and modular arithmetic

8. Algebraic properties of the integers

9. The integers as intervals

10. Timbre and periodic functions

11. The rational numbers as musical intervals

12. Tuning the scale to obtain rational intervals

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 
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