Fractals And Music
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Author | : Charles B. Madden |
Publisher | : High Art Press |
Total Pages | : 228 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780967172750 |
Fractals in Music is intended for advanced students of music theory, whether individuals, composers, students, or teachers. It is intelligible to anyone having some knowledge of algebra and trigonometry. The many illustrations clarify such concepts as self-similarity and transforms. Book jacket.
Author | : Martin Gardner |
Publisher | : American Mathematical Soc. |
Total Pages | : 327 |
Release | : 2020-10-06 |
Genre | : Mathematics |
ISBN | : 1470463679 |
Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1992 edition and contains columns published from 1978-1979.
Author | : John Fauvel |
Publisher | : Oxford University Press, USA |
Total Pages | : 208 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9780199298938 |
From ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This work links these two subjects in a manner that is suitable for students of both subjects, as well as the general reader with an interest in music.
Author | : Michael Frame |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 553 |
Release | : 2015 |
Genre | : Mathematics |
ISBN | : 9789814366069 |
This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, teachers, an historian, an architect, a filmmaker, and a comic. Some articles are quite technical, others entirely descriptive. All include stories about Benoit.Also included are chapters on fractals and music by Charles Wuorinen and by Harlan Brothers, on fractals and finance by Richard Hudson and by Christian Walter, on fractal invisibility cloaks by Nathan Cohen, and a personal reminiscence by Aliette Mandelbrot.While he is known most widely for his work in mathematics and in finance, Benoit influenced almost every field of modern intellectual activity. No other book captures the breadth of all of Benoit's accomplishments.
Author | : Michael Frame |
Publisher | : Cambridge University Press |
Total Pages | : 232 |
Release | : 2002-06-20 |
Genre | : Computers |
ISBN | : 9780883851692 |
Author | : Bill Manaris |
Publisher | : CRC Press |
Total Pages | : 496 |
Release | : 2014-05-19 |
Genre | : Computers |
ISBN | : 1482222213 |
Teach Your Students How to Use Computing to Explore Powerful and Creative IdeasIn the twenty-first century, computers have become indispensable in music making, distribution, performance, and consumption. Making Music with Computers: Creative Programming in Python introduces important concepts and skills necessary to generate music with computers.
Author | : Jonathan Harnum |
Publisher | : |
Total Pages | : 275 |
Release | : 2014-07-01 |
Genre | : |
ISBN | : 9780970751218 |
talent means almost nothing when it comes to getting better at anything, especially music. Practice is everything. This book covers essential practice strategies and mindsets you won't find in any other book. You'll learn the What, Why, When, Where, Who, and especially the How of great music practice. You'll learn what research tells us about practice, but more importantly, you'll learn how the best musicians in many genres of music think about practice, and you'll learn the strategies and techniques they use to improve. This book will help you get better faster, whether you play rock, Bach, or any other kind of music.
Author | : Manfred Schroeder |
Publisher | : Courier Corporation |
Total Pages | : 450 |
Release | : 2009-08-21 |
Genre | : Science |
ISBN | : 0486472043 |
This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.
Author | : Oliver Linton |
Publisher | : eBook Partnership |
Total Pages | : 64 |
Release | : 2021-05-20 |
Genre | : Mathematics |
ISBN | : 191270613X |
What are fractals? Why are they such fun? How do you make one? Why is a dripping tap not as random as it seems? What is chaos? Is the Mandelbrot Set really the most complex object in mathematics? In this beautifully illustrated book, fractal-hunter Oliver Linton takes us on a fascinating journey into the mathematics of fractals and chaos, diving into many kinds of self- similar structures to reveal some of the most recently discovered and intriguing patterns in science and nature. "e;Fascinating"e; FINANCIAL TIMES. "e;Beautiful"e; LONDON REVIEW OF BOOKS. "e;Rich and Artful"e; THE LANCET. "e;Genuinely mind-expanding"e; FORTEAN TIMES. "e;Excellent"e; NEW SCIENTIST. "e;Stunning"e; NEW YORK TIMES. Small books, big ideas.
Author | : Kenneth Falconer |
Publisher | : OUP Oxford |
Total Pages | : 153 |
Release | : 2013-09-26 |
Genre | : Mathematics |
ISBN | : 0191663441 |
Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.