LIBRARY
HON 499 Marino Professor Moon's Library Instruction: Mathematics AND Music
Books and Ebooks
Music and Mathematics by Call Number: Main Collection Second Floor ML3800 .M85 2003ISBN: 9780198511878Publication Date: 2003-12-04From 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, authored by leading scholars, presents the link between these twosubjects 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 tuningand temperament, the mathematics of sound, bell-ringing and modern compositional techniques.
Physics of the Piano by Call Number: ebookISBN: 9780191030147Publication Date: 2010-01-01Why 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 toelucidate 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 isinterested 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.
Mathematical Treks by Call Number: print book on Second Floor QA99 .P47 2002ISBN: 9780883855379Publication Date: 2002-03-14Science News publishes a weekly column devoted to 'cool stuff' from the world of mathematics. There have been over 250 articles under the title 'Ivars Peterson's Math Treks'. New developments and their applications, old puzzles revisited, famous problems and historic events have all featured. This column has been extremely popular for its brief, informal forays into some of the more unusual aspects of mathematics. Ivars Peterson has enhanced and updated a selection of articles for this book and further bibliographic details and web links are available online. The contents span a wide range of topics and there will be something here for anyone with an interest in mathematics.
JSTOR: mathematics and music and "Mozart Effect"
JOURNAL ARTICLE
Music, Creativity and Scientific Thinking
Leonardo, Vol. 34, No. 1 (2001), pp. 63-68
...Music , Creativity and Scientific Thinking Robert S. Root-Bernstein Mathematics and music ! The most glaring possible opposites of human thought! and yet connected, mutually sustained! It is as if they would demonstrate the hidden consensus of all the actions of our mind, which in the revelations of genius makes us forefeel unconscious...
JOURNAL ARTICLE
Cultural Capital, Gender, and School Success: The Role of Habitus
Sociology of Education, Vol. 75, No. 1 (Jan., 2002), pp. 44-68
...Arts (NEA Fact Sheet 2001), which noted that students who have studied the arts for four years score an average of 89 points higher on the SAT than do students who have not. It is also apparent in Shaw's (1999) notion of the " Mozart effect ," the belief that listening...
Fourier Series AND Music
An Introduction to Fourier Analysis with Applications to Music
Authors Nathan Lenssen Deanna Needell
Downloadable Article2014
in Journal of Humanistic Mathematicsv4 n1 (20140131)
Summary In our modern world, we are often faced with problems in which a traditionally analog signal is discretized to enable computer analysis. A fundamental tool used by mathematicians, engineers, and scientists in this context is the discrete Fourier transform (DFT), which allows us to analyze individual frequency components of digital signals. In this paper we develop the discrete Fourier transform from basic calculus, providing the reader with the setup to understand how the DFT can be used to analyze a musical signal for chord structure. By investigating the DFT alongside an application in music processing, we gain an appreciation for the mathematics utilized in digital signal processing.