Five-Minute Mathematics

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ISBN: 9780821843482 | 0821843486
Cover: Paperback
Copyright: 6/20/2008

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How much math can you cover in five minutes? Quite a bit, if you have a good guide. In this collection of one hundred short essays, Ehrhard Behrends offers a tour through contemporary and everyday mathematics. The topics range from pure mathematics to applications of mathematics to observations about the mathematics that surrounds us in daily life. Here, we read about the parable of grains of rice on a chessboard, the mathematics of the lottery, music and mathematics, intriguingparadoxes, the concept of infinity, the Poincare conjecture, quantum computers, and plenty more.

You can't beat the odds Magical mathematics: The integers
How old is the captain?
Vertiginously large prime numbers
Loss plus loss equals win
When it comes to large numbers, intuition fails
The key for encryption is the telephone book
The village barber who shaves himself Quit while you're ahead?
Can a monkey create great literature?
The birthday paradox Horror vacui
Sufficient difficulties with the logic of mathematics are in fact a necessity
To change or not to change?
The Monty Hall problem In Hilbert's Hotel there is always a vacancy
That fascinating number pi
How random events become calculable quantities
A one-million-dollar prize: How are the prime numbers distributed?
The five-dimensional cake One night stand
Fly me to the Moon Using residues
Top secret! Magical mathematics: Order amidst chaos
How does one approach genius?
On semitones and twelfth roots
Why am I always standing in the wrong line?
Zero: An undeservedly underrated number
I love to count! Genius autodidact: The Indian mathematician Ramanujan
I hate mathematics because...
The traveling salesman: A modern odyssey
Squaring the circle
A step into the infinite Mathematics in your CD player
The logarithm: A dying breed Prizeworthy mathematics
Why axioms of all things?
Proof by computer?
The lottery: The small prizes Formulas = concentrated thought Endless growth
How do quanta compute?
Extremes! Infinitely small?
Mathematical observations at the fire department
The first mathematical proof is 2,500 years old
There is transcendence in mathematics, though it has nothing to do with mysticism
Is every even number the sum of two primes?
Why we invert conditional probabilities incorrectly Millionaire or billionaire?
Mathematics and chess "The book of nature is written in the language of mathematics"
The search for Mersenne primes Berlin, eighteenth century: A beatuful formula is discovered
The first really complicated number P = NP: In mathematics, is luck sometimes unnecessary?
Happy 32nd birthday! Buffon's needle
Running hot and cold: Controlled cooling solves optimization problems
Who didn't pay? What can statistics tell us?
Arbitrage Farewell to risk: Options Is mathematics a reflection of the world?
Mathematics that you can hear Chance as composer
Do dice have a guilty conscience?
Strawberry ice cream can kill you! Prosperity for all
No risk, thank you! A Nobel Prize in mathematics?
Chance as reckoner: Monte Carlo methods
Fuzzy logic Secret messages in the Bible?
How knotted can a knot be?
How much mathematics does a person need?
Big, bigger, biggest
It is probably correct Is the world a crooked place?
Is there a mathematical bureau of standards?
The butterfly that fluttered by Guaranteed to make you rich
Don't trust anyone over thirty
Equality in mathematics Magical invariants
Mathematics goes to the movies
The lazy eight: Infinity Books need bigger margins!
Visualizing internal organs with mathematics
A brain in the computer Cogito, ergo sum
Does the world have a hole?
Complex numbers are not so complex as their name suggests M. C. Escher and infinity
A one at the beginning is much more likely than a two
The Leipzig town hall and the sunflower Information optimally packaged
Four colors suffice! Mathematics makes billionaires
Further reading
Index
Table of Contents provided by Publisher. All Rights Reserved.

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Five-Minute Mathematics

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