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...

Why does time appear to run in only one direction? We remember the past- but why not the future? We can influence the future- but could we, even theoretically, influence the past?

Generations of philosophers and theologians, physicists and mathematicians have puzzles and speculated about these and the many other questions that surround the concept of time. Recent scientific work is said to explain the directionality of time. But time still contains many mysteries- black holes and big bangs, asymmetries and relativities, arrows and loops - that will doubtless continue to occupy us...

The oldest known mathematical table was found in the ancient Sumerian city of Shuruppag in southern Iraq. Since then, tables have been an important feature of mathematical activity and are important precursors to modern computing and information processing. This book contains a series of articles summarizing the history of mathematical tables from earliest times until the late twentieth century. It covers mathematical tables (the most important computing aid for several hundred years until 1960s), data tables (i.e. Census tables), professional tables (ie. Insurance tables), and...