"To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of indecipherable equations and incomprehensible concepts. Few realize that the world of modern mathematics is rich with vivid images and provocative ideas."
"Pickover's lively, provocative travel guide takes readers into the fascinating realm of mystic math, from perfectly strange numbers to fractured geometries and other curious nooks and crannies of ancient worlds and modern times."
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Source: Ivars Peterson (1998). “The Mathematical Tourist: New and Updated Snapshots of Modern Mathematics”, p.6, Macmillan
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"Few realize that the world of modern mathematics is rich with vivid images and provocative ideas."
"Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation."