Professor Stewart's Hoard of Mathematical Treasures

Couverture
Basic Books, 27 avr. 2010 - 352 pages
Opening another drawer in his Cabinet of Curiosities, renowned mathematics professor Ian Stewart presents a new medley of games, paradoxes, and riddles in Professor Stewart's Hoard of Mathematical Treasures. With wit and aplomb, Stewart mingles casual puzzles with grander forays into ancient and modern mathematical thought.

Amongst a host of arcane and astonishing facts about every kind of number from irrational and imaginary to complex and cuneiform, we learn:
  • How to organize chaos
  • How matter balances anti-matter
  • How to turn a sphere inside out (without creasing it)
  • How to calculate pi by observing the stars
  • . . . and why you can't comb a hairy ball.


Along the way Stewart offers the reader tantalizing glimpses of the mathematics underlying life and the universe. Mind-stretching, enlightening, and endlessly amusing, Professor Stewart's Hoard of Mathematical Treasures will stimulate, delight, and enthrall.
 

Table des matières

Second Drawer Down
1
Calculator Curiosity 1
7
Luckless Lovelorn Lilavati
8
Sixteen Matches
9
Magic Circle
10
PresstheDigitation
11
Secrets of the Abacus
13
Hexaflexagons
18
Pieces of Five
153
Pi in the Sky
154
The Curious Incident of the Dog
155
A Weird Fact about Egyptian Fractions
157
Serpent of Perpetual Darkness
158
What Are the Odds?
159
A Potted History of Mathematics
160
The Shortest Mathematical Joke Ever
163

Who Invented the Equals Sign?
20
By the Numbers of Babylon
21
Magic Hexagons
25
The CollatzSyracuseUlam Problem
26
The Jewellers Dilemma
29
What Seamus Didnt Know
30
Why Toast Always Falls ButteredSide Down
31
Lincolns Dog
32
Whodunnis Dice
33
But What About Concertinas?
34
The Bellows Conjecture
35
Digital Cubes
38
What Is the Area of an Ostrich Egg?
40
Order into Chaos
43
Big Numbers
44
The Drowning Mathematician
49
The Hairy Ball Theorem
52
Cups and Downs
53
Secret Codes
56
When 2+ 2 0
59
Secret Codes That Can Be Made Public
62
Calendar Magic
66
Mathematical Cats
67
The Rule of Eleven
70
Common Knowledge
71
Pickled Onion Puzzle
73
Guess the Card
74
And Now with a Complete Pack
75
Egyptian Fractions
76
The Greedy Algorithm
80
How to Move a Table
83
Newton by Byron
84
Whatevers the Antimatter?
86
How to See Inside Things
91
Mathematicians Musing About Mathematics
96
Wittgensteins Sheep
98
Leaning Tower of Pizza
99
PieThagorass WorldFamous Mince πs
103
Diamond Frame
104
Pour Relations
105
The Sacred Principle of Mat
107
Perfectly Abundantly Amicably Deficient
109
Target Practice
111
Just a Phase Im Going Through
112
Proof Techniques
114
Second Thoughts
116
Cooking with Water
117
Celestial Resonance
118
Calculator Curiosity 2
123
The Most Outrageous Proof
126
Colorado Smith and the Solar Temple
129
Why Cant I Add Fractions Like I Multiply Them?
131
Pooling Resources
133
Cooking on a Torus
135
The Catalan Conjecture
136
The Origin of the Square Root Symbol
138
Please Bear with Me
139
Cricket on Grumpius
143
The Man Who Loved Only Numbers
144
The Missing Piece
145
What Does Zeno?
146
Global Warming Swindle
164
Name the Cards
171
What Is Point Nine Recurring?
172
Ghost of a Departed Quantity
174
Nice Little Earner
176
Congruent Numbers
177
PresentMinded Somewhere Else
179
Its About Time
180
The Klein Bottle
181
Accounting the Digits
185
Multiplying with Sticks
186
As Long as I Gaze on Laplacian Sunrise
190
Another Take on Mathematical Cats
191
Bordered Prime Magic Square
192
Peaucelliers Linkage
195
A Better Approximation to π
196
Strictly for Calculus Buffs
197
The Statue of Pallas Athene
198
Calculator Curiosity 3
199
Completing the Square
200
NonMathematicians Musing AboutMathematics
201
Eulers Conjecture
203
Piratical Pathways
204
Trains That Pass in the Siding
205
Squares Lists and Digital Sums
206
Match Trick
211
Which Hospital Should Close?
212
How to Turn a Sphere Inside Out
213
A Piece of String Walked into a Bar
218
The Origin of the Symbol for Pi
219
Greek and Trojan Asteroids
220
Sliding Coins
223
Euclids Puzzle
224
The Infinite Monkey Theorem
225
Monkeys Against Evolution
226
Universal Letter of Reference
228
Powerful Crossnumber
230
Magic Handkerchiefs
231
A Bluffers Guide to Symmetry
232
Digital Century Revisited
236
An Infinity of Primes
237
A Century in Fractions
238
Ah That Explains It
239
False Not Stated Not Proved
241
Slicing the Doughnut
242
Tippe Top Twister
245
When Is a Knot Not Knotted?
246
The Origin of the Factorial Symbol
247
Juniper Green
248
Mathematical Metajoke
253
Beyond the Fourth Dimension
254
Slades Braid
262
Avoiding the Neighbours
263
A Rolling Wheel Gathers No Speed
264
Chess in Flatland
265
The Infinite Lottery
267
The Largest Number Is FortyTwo
268
A Future History of Mathematics
269
Professor Stewarts Superlative Storehouse of Sneaky Solutions and Stimulating Supplements
273
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À propos de l'auteur (2010)

Ian Stewart is emeritus professor of mathematics at the University of Warwick. His recent books include Calculating the Cosmos, Significant Figures, In Pursuit of the Unknown, and Professor Stewart's Hoard of Mathematical Treasures. He is a fellow of the Royal Society. He lives in Coventry, UK.

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