Published 2016 — IMM Lifestyle Books
www.IMMLifestyleBooks.com
IMM Lifestyle Books are distributed
in the United Kingdom by Grantham Book Service,
Trent Road, Grantham, Lincolnshire, NG31 7XQ.
Text © 2016 by Dr Bob Solomon
Illustrations © 2016 by IMM Lifestyle Books
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without prior written permission from the publisher.
eISBN 978-1-6076-5222-9
Manufactured in China
10 9 8 7 6 5 4 3 2 1
Contents
Writing Numbers
Fractions
Quadratic Equations
The Greatest Pyramid
π
The Pythagoreans
Pythagoras’s Theorem
Irrational Numbers
Perfect Numbers
Regular Polygons
Platonic Solids
The Golden Ratio
Trisecting the Angle
Doubling the Cube
Squaring the Circle
Zeno’s Paradoxes
Plato and Platonism
Conic Sections
Euclid’s Elements
The Fifth Postulate
Sum of the Angles in a Triangle
The Fundamental Theorem of Arithmetic
The Infinity of Prime Numbers
Measurement of a Sphere
Quadrature of the Parabola
The Sand Reckoner
Trigonometry
Negative Numbers
The Earth-Centered Universe
Zero
Kitab wa al jabr wa al muqabalah (The Book of Shifting and Balancing)
Cubic Equations – Geometric Solutions
Fibonacci Numbers
Perspective
Cubic Equations – Algebraic Solution
Quartic Equations
The Sun-Centered Universe
Mathematical Induction
Falling Bodies
The Sun-Centered Universe Again
Logarithms
Tessellations
Regular Solids Revisited
Calculating Machines
Analytic Geometry
A Formula for Prime Numbers
The Problem of the Points
Pascal’s Triangle
The Binomial Distribution
Pascal’s Wager
Differentiation
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