Symmetries of Music
Author | : Ernő Lendvai |
Publisher | : |
Total Pages | : 174 |
Release | : 1993 |
Genre | : Harmonic analysis (Music) |
ISBN | : |
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Author | : Ernő Lendvai |
Publisher | : |
Total Pages | : 174 |
Release | : 1993 |
Genre | : Harmonic analysis (Music) |
ISBN | : |
Author | : Dorothy K. Washburn |
Publisher | : Courier Dover Publications |
Total Pages | : 323 |
Release | : 2021-02-17 |
Genre | : Art |
ISBN | : 0486842320 |
This groundbreaking collaboration between an anthropologist and a mathematician constitutes both a collection of symmetrical pattern designs from many cultures and a monograph on pattern design and the classification of symmetrical patterns. Intended for art historians, anthropologists, classical archaeologists, and others interested in the study of material culture, it can also serve as a reference and inspiration for the use of symmetrical patterns in art and design. "This richly illustrated study brings to light dozens of intriguing examples of symmetrical designs, for instance, in a Zulu loincloth, a Japanese chopstick case, a New England quilt, a Tibetan 'Plaque of a Thousand Lamas,' a Hawaiian water gourd. The same pattern found in a fantastical drawing of lizards by M. C. Escher is echoed in a Fijian basket lid and an Egyptian wall mosaic." — Publishers Weekly "This extremely useful guide to classifying plane pattern designs … is extensively illustrated with carvings, textiles, baskets, tiles, and poetry, which are used as examples of various symmetry patterns." — American Anthropologist "An impressive book—both in terms of its physical appearance and its content ... will undoubtedly become the major reference on the analysis of patterns in terms of symmetry properties." — Antiquity
Author | : Guerino Mazzola |
Publisher | : Birkhäuser |
Total Pages | : 1310 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 303488141X |
With contributions by numerous experts
Author | : Guerino Mazzola |
Publisher | : Springer |
Total Pages | : 675 |
Release | : 2018-03-28 |
Genre | : Mathematics |
ISBN | : 3319643649 |
This is the first volume of the second edition of the now classic book “The Topos of Music”. The author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives.
Author | : Klaus Mainzer |
Publisher | : Walter de Gruyter |
Total Pages | : 696 |
Release | : 2013-12-02 |
Genre | : Philosophy |
ISBN | : 3110886936 |
Author | : Dorothy Koster Washburn |
Publisher | : UNM Press |
Total Pages | : 208 |
Release | : 2004 |
Genre | : Art |
ISBN | : 9780826331526 |
Scholars representing several disciplines examine how patterns and symmetry are expressed and resonate in a variety of man's creations and cultures.
Author | : Dorothy Koster Washburn |
Publisher | : University of Washington Press |
Total Pages | : 396 |
Release | : 2004 |
Genre | : Art |
ISBN | : 9780295983660 |
The two volumes together offer readers a new window into the communicative importance of design."--Jacket.
Author | : Jack Boss |
Publisher | : Cambridge University Press |
Total Pages | : 467 |
Release | : 2014-10-02 |
Genre | : Literary Criticism |
ISBN | : 1107046866 |
Jack Boss presents detailed analyses of Arnold Schoenberg's twelve-tone pieces, bringing the composer's 'musical idea' - problem, elaboration, solution - to life.
Author | : John H. Conway |
Publisher | : CRC Press |
Total Pages | : 442 |
Release | : 2016-04-05 |
Genre | : Mathematics |
ISBN | : 1439864896 |
Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.
Author | : Ian Stewart |
Publisher | : OUP Oxford |
Total Pages | : 161 |
Release | : 2013-05-30 |
Genre | : Mathematics |
ISBN | : 0191652741 |
In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. 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.