Mathematics and the ImaginationAnyone who gambles, plays cards, loves puzzles, or simply seeks an intellectual challenge will love this amusing and thoughtprovoking book. With wit and clarity, the authors deftly progress from simple arithmetic to calculus and nonEuclidean geometry. "Charming and exciting." — Saturday Review of Literature. Includes 169 figures. 
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Review: Mathematics and the Imagination
User Review  Krollo  GoodreadsI only read an excerpt of this, but it was a great excerpt (New Names for Old). It was an interesting (if slightly dumbed down) take on the difference between mathematical language and colloquial langauge, as well as what we can do to make sure we don't get in a muddle. Read full review
Review: Mathematics and the Imagination
User Review  Nivasilyev  Goodreadswholly readable, inspirational, and enjoyable. The 4th dimension is explained in an easy to enjoy way. This book can be read at leisure in a few days as it has little information to verify or explore. The author encourages you to continue reading mathematics. Read full review
Contents
New Names for Old  3 
II Beyond the Googol  27 
𝜋ie PIE Transcendental and Imaginary  65 
Assorted GeometriesPlane and Fancy  112 
Pastimes of Past and Present Times  156 
Paradox Lost and Paradox Regained  193 
Chance and Chanceability  223 
RubberSheet Geometry  265 
Change and ChangeabilityThe Calculus  299 
Mathematics and the Imagination  357 
Common terms and phrases
algebraic equation analytical geometry angle arithmetic axioms calculus Cantor cardinality century circle concept correspondence cube curvature curve cycloid decimal deﬁned deﬁnition derivative determined difﬁculties distance drawing elements ematics equal Euclid Euclidean Euclidean geometry expressed ﬁeld ﬁfth ﬁgure ﬁnd ﬁnite ﬁnite number ﬁrst ﬁt ﬁve fourdimensional fourth dimension function googol googolplex idea illustrations imagination impossible inﬁnite inﬁnite class inﬁnite number inﬁnite series integers Josephus problem Leibniz length limit logarithms logical manifold mathe mathematician mathematics matics means measure method motion nonEuclidean geometry onetoone pair paradoxes perpendicular physical plane polygons position possible postulates probability problem program music proof propositions pseudosphere puzzles quart jar rate of change real numbers rectangle ruler and compass satisﬁed scientiﬁc sides simple solution solved space speciﬁc sphere square root squaring the circle straight line sufﬁcient surface symbols tangent theorem theory tion topology tractrix transcendental transﬁnite triangle variable word zero