Includes bibliographical references (pages 191-192) and index.
Fantasizing -- Certain treasure -- Logic and proof -- Locating the vanishing point -- Limit and calculus -- Irrational thinking -- Continuity and numbers -- Beyond infinity -- Cantorian set theory and transfinite numbers -- Singular ideas -- Natural infinities -- Inventing reality -- Applying abstract mathematics -- Abstract symmetry -- Group theory -- Realm of manifold possibilities -- Dimension -- Zero and the null set -- Compromising -- Non-Euclidean geometries -- Article of faith -- Godel's theorem -- Optimizing -- Cloudy crystal ball -- Probability theory and statistics -- Between checkers and chess -- Two-person game theory -- Three-person game theory -- Topology -- Familiar faces of change -- Catastrophe theory -- Combinatorics.
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This book is an endlessly fascinating journey through a mathematician's looking glass.