American Mathematical Soc., 01/01/2008 - 380 páginas
This collection of one hundred short essays gives readers a grand tour through contemporary and everyday mathematics. Behrends provides classics from his newspaper column in Die Welt, expands and illustrates them, and gives readers just enough information at a time to build mastery of concepts and applications. The topics range from pure mathematics to applied math, but all essays are suspenseful and fun to read. This is a very handy tool for teachers of all levels of mathematics (even elementary school children will be able to handle some of the topics), and Behrends assumes his readership has and interest but only a minimal background in mathematics so the essays are accessible but not dumbed-down.
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You Cant 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 in the Telephone Book
The Village Barber Who Shaves Himself
The Book of Nature Is Written in the Language of Mathematics
The Search for Mersenne Primes
Berlin Eighteenth Century A Beautiful Formula Is Discovered
The First Really Complicated Number
P NP In Mathematics Is Luck Sometimes Unnecessary?
Happy 32nd Birthday
Running Hot and Cold Controlled Cooling Solves Optimization Problems
Quit While Youre Ahead?
Can a Monkey Create Great Literature?
The Birthday Paradox
Sufficient Difficulties with the Logic of Mathematics Are in Fact a Necessity
To Change or Not to Change? The Monty Hall Problem
In Hilberts Hotel There Is Always a Vacancy
That Fascinating Number Pi
How Random Events Become Calculable Quantities
A OneMillionDollar Prize How Are the Prime Numbers Distributed?
The FiveDimensional Cake
One Night Stand
Fly Me to the Moon
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
Why Axioms of All Things?
Proof by Computer?
The Lottery The Small Prizes
Formulas Concentrated Thought
How Do Quanta Compute?
Mathematical Observations at the Fire Department
The First Mathematical Proof Is 2500 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
Who Didnt Pay?
What Can Statistics Tell Us?
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
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
Dont Trust Anyone over Thirty
Equality in Mathematics
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
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