Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psychoacoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure...
Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to music...
Summarizes the literature about the ring structure of the mod 2 cohomology of sporadic simple groups. This book offers background material on the relevant constructions from algebraic topology, and on local geometries from group theory.
Summarizes the literature about the ring structure of the mod 2 cohomology of sporadic simple groups. This book offers background material on the rele...