The Pleasures of Counting 1st edition by Thomas William Korner ISBN 9781107050563 1107050561
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ISBN 10: 1107050561
ISBN 13: 9781107050563
Author: Thomas William Korner
The Pleasures of Counting by Thomas William Körner is a captivating exploration of how mathematics illuminates various facets of the real world. First published in 1996 by Cambridge University Press, this 546-page volume is designed for readers with a foundational understanding of mathematics, offering insights into both the discipline and the mathematicians who practice it.
Table of contents:
I The uses of abstraction
1 Unfeeling statistics
1.1 Snow on cholera
1.2 The altar of pedantry
2 Prelude to a battle
2.1 The first great submarine war
2.2 The coming of convoy
2.3 The second submarine war
3 Blackett
3.1 Blackett at Jutland
3.2 Tizard and radar
3.3 The shortest wavelength will win the war
3.4 Blackett’s circus
4 Aircraft versus submarine
4.1 Twenty-five seconds
4.2 Let’s try the slide-rule for a change
4.3 The area rule
4.4 What can we learn?
4.5 Some problems
II Meditations on measurement
5 Biology in a darkened room
5.1 Galileo on falling bodies
5.2 The long and the short and the tall
6 Physics in a darkened room
6.1 The pyramid inch
6.2 A different age
7 Subtle is the Lord
7.1 Galileo and Einstein
7.2 The Lorentz transformation
7.3 What happened next?
7.4 Does the earth rotate?
8 A Quaker mathematician
8.1 Richardson
8.2 Richardson’s deferred approach to the limit
8.3 Does the wind have a velocity?
8.4 The four-thirds rule
9 Richardson on war
9.1 Arms and insecurity
9.2 Statistics of deadly quarrels
9.3 Richardson on frontiers
9.4 Why does a tree look like a tree?
III The pleasures of computation
10 Some classic algorithms
10.1 These twice five figures
10.2 The good old days
10.3 Euclid’s algorithm
10.4 How to count rabbits
11 Some modern algorithms
11.1 The railroad problem
11.2 Braess’s paradox
11.3 Finding the largest
11.4 How fast can we sort?
11.5 A letter of Lord Chesterfield
12 Deeper matters
12.1 How safe?
12.2 The problems of infinity
12.3 Turing’s theorem
IV Enigma variations
13 Enigma
13.1 Simple codes
13.2 Simple Enigmas
13.3 The plugboard
14 The Poles
14.1 The plugboard does not hide all finger-prints
14.2 Beautiful Polish females
14.3 Passing the torch
15 Bletchley
15.1 The Turing bombes
15.2 The bombes at work
15.3 SHARK
16 Echoes
16.1 Hard problems
16.2 Shannon’s theorem
V The pleasures of thought
17 Time and chance
17.1 Why are we not all called Smith?
17.2 Growth and decay
17.3 Species and speculation
17.4 Of microorganisms and men
18 Two mathematics lessons
18.1 A Greek mathematics lesson
18.2 A modern mathematics lesson I
18.3 A modern mathematics lesson II
18.4 A modern mathematics lesson III
18.5 A modern mathematics lesson IV
18.6 Epilogue
19 Last thoughts
19.1 A mathematical career
19.2 The pleasures of counting
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