عنوان

How round is a cube? :

1470453282

9781470453282

1470451158

9781470451158

How round is a cube? :

[Book]

and other curious mathematical ponderings /

James Tanton

Providence :

American Mathematical Society,

[2019]

©2019

1 online resource (xiv, 262 pages) :

illustrations

MSRI mathematical circles library ;

23

Dragons and poison -- Folding tetrahedra -- The arbelos -- Averages via distances -- Ramsey theory -- Inner triangles -- Land or water? -- Escape -- Flipping a coin for a year -- Coinciding digits -- Inequalities -- Gauss' shoelace formula -- Subdividing a square into triangles -- Equilateral lattice polygons -- Broken sticks and viviani's theorem -- Viviani's converse? -- Integer right triangles -- More question about integer right triangles -- Intersecting circles -- Counting triangular are square numbers -- Balanced sums -- The Prouhet-Thue-Morse sequence -- Some partition numbers -- Ordering colored fractions -- How round is a cube? -- Base and exponent switch -- Associativity and commutativity puzzlers -- Very triangular and very very triangular numbers -- Torus circles -- Trapezoidal numbers -- Square permutations -- Tupper's formula -- Compositional square roots -- Polynomial permutations.

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This book is a collection of 34 curiosities, each a quirky and delightful gem of mathematics and each a shining example of the joy and surprise that mathematics can bring. Intended for the general math enthusiast, each essay begins with an intriguing puzzle, which either springboards into or unravels to become a wondrous piece of thinking. The essays are self-contained and rely only on tools from high-school mathematics (with only a few pieces that ever-so-briefly brush up against high-school calculus). The gist of each essay is easy to pick up with a cursory glance--the reader should feel fre.

How round is a cube?

9781470451158

Mathematics, Miscellanea.

Mathematics, Popular works.

Mathematics.

Tanton, James,1966-

Mathematical Sciences Research Institute (Berkeley, Calif.)

20200823025901.0

pn

[Book]

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