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For centuries, mathematicians have anguished over problems that most of us know only at best as names: Fermat's Last Theorem; Goldbach's Conjecture; Four-Color Theorem. What these conundrums mean and why they cause such bafflement are the subjects of this expansive new book by mathematician/author Ian Stewart (In Pursuit of the Unknown; The Mathematics of Life). As in previous books, Stewart makes no presumption that readers possess advanced mathematical skills. Indeed, his presentations of the theories and their history somehow manage to possess both accessibility and allure. An eye-opening introduction to a language all too few of us know.