The Pleasures of Counting

Front Cover
Cambridge University Press, Dec 5, 1996 - Mathematics - 534 pages
1 Review
In this engaging and readable book, Dr. Körner describes a variety of lively topics that continue to intrigue professional mathematicians. The topics range from the design of anchors and the Battle of the Atlantic to the outbreak of cholera in Victorian Soho. The author uses relatively simple terms and ideas, yet explains difficulties and avoids condescension. If you are a mathematician who wants to explain to others how you spend your working days, then seek inspiration here. This book will appeal to everyone interested in the uses of mathematics.
 

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Contents

Unfeeling statistics
3
12 An altar of pedantry
14
Prelude to a battle
21
22 The coming of convoy
25
23 The second submarine war
32
Blackett
38
32 Tizard and radar
44
33 The shortest wavelength will win the war
50
114 How fast can we sort?
282
115 A letter of Lord Chesterfield
292
Deeper matters
298
122 The problems of infinity
305
123 Turings theorem
311
Enigma variations
317
Enigma
319
132 Simple Enigmas
331

34 Blacketts circus
57
Aircraft versus submarine
62
42 Lets try the sliderule for a change
73
43 The area rule
79
44 What can we learn?
87
45 Some problems
93
Meditations on measurement
99
Biology in a darkened room
101
52 The long and the short and the tall
105
Physics in a darkened room
116
62 A different age
127
Subtle is the Lord
137
72 The Lorentz transformation
141
73 What happened next?
149
74 Does the earth rotate?
154
A Quaker mathematician
159
82 Richardsons deferred approach to the limit
164
83 Does the wind have a velocity?
176
84 The fourthirds rule
186
Richardson on war
194
92 Statistics of deadly quarrels
198
93 Richardson on frontiers
208
94 Why does a tree look like a tree?
215
The pleasures of computation
229
Some classic algorithms
231
102 The good old days
237
103 Euclids algorithm
242
104 How to count rabbits
250
Some modern algorithms
258
112 Braesss paradox
268
113 Finding the largest
275
133 The plugboard
338
The Poles
348
142 Beautiful Polish females
353
143 Passing the torch
362
Bletchley
368
152 The bombes at work
377
153 SHARK
381
Echoes
391
162 Shannons theorem
398
The pleasures of thought
411
Time and chance
413
172 Growth and decay
422
173 Species and speculation
433
174 Of microorganisms and men
444
Two mathematics lessons
452
182 A modern mathematics lesson I
459
183 A modern mathematics lesson II
464
184 A modern mathematics lesson III
471
185 A modern mathematics lesson IV
477
186 Epilogue
481
Last thoughts
488
192 The pleasures of counting
492
Further reading
494
A12 Some hard but interesting books
501
Some notations
508
Sources
511
BIBLIOGRAPHY
522
INDEX
529
Acknowledgements
534
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