"An enchanting history of Japanese geometry--of a time and place
where 'geometers did not cede place to poets.' This intersection of
science and culture, of the mathematical, the artistic, and the
spiritual, is packed, like circles within circles, with rewarding
Aha! epiphanies that drive a mathematician's curiosity."--Siobhan
Roberts, author of "King of Infinite Space"
"Teachers will welcome this remarkable collection of
mathematical problems, history, and art, which will enrich their
curriculum and promote both logical thinking and critical
evaluation. It is especially important that we maintain an interest
in geometry, which needs, and for once gets, more than its
share."--Richard Guy, coauthor of "The Book of Numbers"
"This remarkable book provides a novel insight into the Japanese
mathematics of the past few hundred years. It is fascinating to see
the difference in mathematical style from that which we are used to
in the Western world, but the book also elegantly illustrates the
cross-cultural Platonic nature and profound beauty of mathematics
itself."--Roger Penrose, author of "The Road to Reality"
"A significant contribution to the history of mathematics. The
wealth of mathematical problems--from the very simple to quite
complex ones--will keep the interested reader busy for years. And
the beautiful illustrations make this book a work of art as much as
of science. Destined to become a classic!"--Eli Maor, author of
"The Pythagorean Theorem: A 4,000-Year History"
"A pleasure to read. "Sacred Mathematics" brings to light the
unique style and character of geometry in the traditional Japanese
sources--in particular the "sangaku" problems. These problems range
from trivialto utterly devilish. I found myself captivated by them,
and regularly astounded by the ingenuity and sophistication of many
of the traditional solutions."--Glen Van Brummelen, coeditor of
"Mathematics and the Historian's Craft"
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