Book:Ian Stewart/Incredible Numbers

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Ian Stewart: Incredible Numbers

Published $2015$, Profile

ISBN 978 1781254103.


Contents

Preface
Numbers
Small Numbers
$1 \quad$ The Indivisible Unit
$2 \quad$ Odd and Even
$3 \quad$ Cubic Equation
$4 \quad$ Square
$5 \quad$ Pythagorean Hypotenuse
$6 \quad$ Kissing Number
$7 \quad$ Fourth Prime
$8 \quad$ Fibonacci Cube
$9 \quad$ Magic Square
$10 \quad$ Decimal System
Zero and Negative Numbers
$0 \quad$ Is Nothing a Number?
$-1 \quad$ Less Than Nothing
Complex Numbers
$i \quad$ Imaginary Number
Rational Numbers
$\frac 1 2 \quad$ Dividing the Indivisible
$\frac {22} 7 \quad$ Approximation to $\pi$
$\frac {466} {885} \quad$ Tower of Hanoi
Irrational Numbers
$\sqrt 2 \sim 1.414213 \quad$ First Known Irrational
$\pi \sim 3.141592 \quad$ Circle Measurement
$\phi \sim 1.618034 \quad$ Golden Number
$e \sim 2.718281 \quad$ Natural Logarithms
$\frac {\log 2} {\log 3} \sim 1.584962 \quad$ Fractals
$\frac \pi {\sqrt{18} } \quad$ Sphere Packing
$\sqrt [12] 2 \sim 1.059463 \quad$ Musical Scale
$\zeta \left({3}\right) \sim 1.202056 \quad$ Apéry's Constant
$\gamma \sim 0.577215 \quad$ Euler's Constant
Special Small Numbers
$11 \quad$ String Theory
$12 \quad$ Pentominoes
$17 \quad$ Polygons and Patterns
$23 \quad$ Birthday Paradox
$26 \quad$ Secret Codes
$56 \quad$ Sausage Conjecture
$168 \quad$ Finite Geometry
Special Big Numbers
$26! = 403,291,461,126,605,635,584,000,000 \quad$ Factorials
$43,252,003,274,489,856,000 \quad$ Rubik Cube
$6,670,903,752,021,072,936,960 \quad$ Sudoku
$2^{57,885,161} - 1$ (total of $17,425,170$ digits) $\quad$ Largest Known Prime
Infinite Numbers
$\aleph_0 \quad$ Smallest Infinity
$c \quad$ Cardinality of Continuum
Life, the Universe, and ...
$42 \quad$ Not Boring at All
Further Reading
Figure Acknowledgements