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Author: Frank H. Hall
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 134
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Book Description
Author: Frank H. Hall
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 134
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Book Description
Author: Dan Stefanica
Publisher:
ISBN: 9780979757624
Category : Business mathematics
Languages : en
Pages : 332
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Book Description
Author: Kyle Gann
Publisher: University of Illinois Press
ISBN: 0252051424
Category : Music
Languages : en
Pages : 316
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Book Description
"Tuning is the secret lens through which the history of music falls into focus," says Kyle Gann. Yet in Western circles, no other musical issue is so ignored, so taken for granted, so shoved into the corners of musical discourse. A classroom essential and an invaluable reference, The Arithmetic of Listening offers beginners the grounding in music theory necessary to find their own way into microtonality and the places it may take them. Moving from ancient Greece to the present, Kyle Gann delves into the infinite tunings available to any musician who feels straitjacketed by obedience to standardized Western European tuning. He introduces the concept of the harmonic series and demonstrates its relationship to equal-tempered and well-tempered tuning. He also explores recent experimental tuning models that exploit smaller intervals between pitches to create new sounds and harmonies. Systematic and accessible, The Arithmetic of Listening provides a much-needed primer for the wide range of tuning systems that have informed Western music. Audio examples demonstrating the musical ideas in The Arithmetic of Listening can be found at: https://www.kylegann.com/Arithmetic.html
Author: Jeffrey Stopple
Publisher: Cambridge University Press
ISBN: 9780521012539
Category : Mathematics
Languages : en
Pages : 404
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Book Description
An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.
Author: George Albert Wentworth
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 476
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Book Description
Author: Robert B. Ash
Publisher: American Mathematical Soc.
ISBN: 1470457091
Category : Mathematics
Languages : en
Pages : 193
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Book Description
The purpose of this book is to prepare the reader for coping with abstract mathematics. The intended audience is both students taking a first course in abstract algebra who feel the need to strengthen their background and those from a more applied background who need some experience in dealing with abstract ideas. Learning any area of abstract mathematics requires not only ability to write formally but also to think intuitively about what is going on and to describe that process clearly and cogently in ordinary English. Ash tries to aid intuition by keeping proofs short and as informal as possible and using concrete examples as illustration. Thus, it is an ideal textbook for an audience with limited experience in formalism and abstraction. A number of expository innovations are included, for example, an informal development of set theory which teaches students all the basic results for algebra in one chapter.
Author: Deviderjit Singh Sivia
Publisher: OUP Oxford
ISBN: 9780198504283
Category : Mathematics
Languages : en
Pages : 98
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Book Description
This text spans a large range of mathematics, from basic algebra to calculus and Fourier transforms. Its tutorial style bridges the gap between school and university while its conciseness provides a useful reference for the professional.
Author: Joseph Ray
Publisher:
ISBN:
Category : Mental arithmetic
Languages : en
Pages : 160
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Book Description
Author: J.D. Williams
Publisher:
ISBN:
Category :
Languages : en
Pages : 256
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Book Description
Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 560
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Book Description
