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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
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
How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth centuryMusic is filled with mathematical elements. The works of Bach are often said to possess a math-like logic, and Arnold Schoenberg, Iannis Xenakis, and Karlheinz Stockhausen wrote music explicitly
How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century Music is filled with mathematical elements, the works of Bach are often said to possess a math-like logic, and Igor Stravinsky said musical form is close to mathematics, while Arnold
A teachers' book for math covering 'Mathematics in Nature', 'Pythagoras and Numbers', 'Platonic Solids' and 'Rhythm and Cycles'. Includes full color illustrations and diagrams throughout. A resource for Steiner-Waldorf teachers for math for Class 7 (age 12-13) and Class 8 (age 13-14). This book is
Discover the Hidden Mathematics of Modern Geometry Fractals, the never-ending geometric-mathematical patterns existing throughout nature, are revealed in the shapes of continents, galaxies, snowflakes, and grains of sand. In this fascinating and seminal volume, renowned pioneering-mathematician
The first book surveying the history and ideas behind reverse mathematics Reverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. In Reverse Mathematics, John Stillwell offers a historical and representative view, emphasizing basic analysis and giving a
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
'Music From Big Pink is a moving book that succeeds not just in vividly evoking its time and place but in distilling one young man's cliched and minor destiny into something approaching tragedy....This well-written first novel captures not just some of the dreams of that bygone era, but the way
An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's
The long-awaited memoir from John Fogerty, the legendary singer-songwriter and creative force behind Creedence Clearwater Revival. Creedence Clearwater Revival is one of the most important and beloved bands in the history of rock, and John Fogerty wrote, sang, and produced their instantly
The Ultimate Pocket Guide to Fractals and
Pythagoras was one of the great geniuses of the West and yet, apart from his famous Pythagorean theorem, he is virtually unknown. If we rely on modern scholars and academics we find that his long-forgotten legacy is misunderstood and even distorted, and is therefore almost nonexistent. This new and
Following on from Introducing Pure Mathematics by Smedley and Wiseman, Further Pure Mathematics covers in one volume all the pure mathematics required by students taking further mathematics. It also provides the basics for mathematics encountered in Higher
John Coltrane was a key figure in jazz, a pioneer in world music, and an intensely emotional force whose following continues to grow. This new biography, the first by a professional jazz scholar and performer, presents a huge amount of never-before-published material, including interviews with
John Allen Paulos cleverly scrutinizes the mathematical structures of jokes, puns, paradoxes, spoonerisms, riddles, and other forms of humor, drawing examples from such sources as Rabelais, Shakespeare, James Beattie, Rene Thom, Lewis Carroll, Arthur Koestler, W. C. Fields, and Woody Allen
A History of Mathematics covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic
From the contours of coastlines to the outlines of clouds, and the branching of trees, fractal shapes can be found everywhere in nature. In this Very Short Introduction, Kenneth Falconer explains the basic concepts of fractal geometry, which produced a revolution in our mathematical understanding
The Penguin Dictionary of Mathematics takes in all branches of pure and applied mathematics, from algebra to mechanics and from number theory to statistics. Invaluable for students at all levels, it is also a useful and versatile source book for economists, business people, engineers, technicians
David Acheson's extraordinary little book makes mathematics accessible to everyone. From very simple beginnings he takes us on a thrilling journey to some deep mathematical ideas. On the way, via Kepler and Newton, he explains what calculus really means, gives a brief history of pi, and even takes
(Music Sales America). Easy duets for descant recorders, ranging from Beethoven to the blues, to encourage the learning of new notes and rhythms. Suitable for two players or class ensembles, with piano accompaniments in the teachers' books. Ideal for use alongside the Recorder from the Beginning
(Music Sales America). Easy duets for descant recorders, ranging from Brahms to the blues, to encourage the learning of new notes and rhythms. Suitable for two players or class ensembles, with piano accompaniments in the teachers' books. Ideal for use alongside the Recorder from the Beginning
The long-awaited ninth installment in John Zorn's essential series of writings by musicians and composers at the forefront of musical innovation, from John Luther Adams to Danny ElfmanInitiated in 1997 and now in its ninth installment, John Zorn's Arcana series is a major source of new music theory