The task Ferguson (Tycho & Kepler
) takes on is formidable: to describe not only the ancient Greek mathematician and mystic Pythagoras, but also the entire sweep of the Pythagorean legacy, from his time to ours. Even if the book's subtitle is never quite justified, she has largely succeeded. This chatty and readable account bites off great chunks of history and science, from Platonists to string theory. No matter how engaging, however, the book still reads more like a series of facts than a coherent narrative. Best when she comes on like a good friend bursting with some amazing thing she can't wait to share (the passages on Bertrand Russell are particularly sharp and funny), Ferguson has a tendency to punt when a concept becomes difficult to explain; rather than delve into a piece of ancient geometry called the Delian problem, she says, “[a] lengthy text is needed to understand it.” Ferguson concludes with banal generalizations about faith versus science. Still, the book is winning, accessible and intermittently fascinating. B&w illus. (Apr.)