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My favorite numbers
Zero: The Biography of a Dangerous Idea
"Zero - a good place to start"
The Nothing that Is: A Natural History of Zero
"We take it casually, but zero was once the number of the devil, or perhaps the devil himself"
A History of Pi
"The best known of the transcendentals"
The Joy of Pi
"Another slice of pi - you can never have too much."
"And a move?!"
The Square Root of 2: A Dialogue Concerning a Number and a Sequence
"The first known irrational - a number that can't be a ratio of integers. According to myth, the discoverer of its irratonality was killed to suppress the heretical concept."
e: The Story of a Number
"The base of natural logs, I've heard it called the compromise between zero, one, and infinity"
An Imaginary Tale: The Story of [the square root of minus one]
"Square root of minus one - if it works, it's a number. Fascinating links to e and pi"
Gamma: Exploring Euler's Constant (Princeton Science Library)
"Another one with surprising connections"
The Golden Ratio: The Story of PHI, the World's Most Astonishing Number
"The most pleasing proportion? Maybe, but an intersting phenomenon of history, too."
The Little Book of Bigger Primes
"Prime numbers - gotta love `em. Lots of usable techniques here."
The Little Book of Big Primes
"The previous version of "Bigger Primes." Still good, despite improvements in the later version."
One Two Three . . . Infinity: Facts and Speculations of Science (Dover Books on Mathematics)
"Aging, but still interesting."
The Book of Numbers
"Some interesting ways to visualize numbers and families of numbers: Fibonacci, Catalan, polygonal, and more. Also traces words for numbers."
Number Words and Number Symbols: Cultural History of Numbers
"Not the numbers themselves, but their names and signs. Drily academic in most places, but encyclopedic. Covers many languages and eras."
To Infinity and Beyond: A Cultural History of the Infinite
"Infinity, and all the different infinities."
Everything and More: A Compact History of Infinity (Great Discoveries)
"You can never get enough of infinity."
Meta Maths : The Quest for Omega
"Among the infinity of real numbers, only a much smaller and countable infinity of them can be written as mathematical expressions. This is about the ones that can't be."
Galois Theory: Lectures Delivered at the University of Notre Dame by Emil Artin (Notre Dame Mathematical Lectures, Number 2)
"Finite fields and Galois fields in particular - in deep space satellites and your CD player. Finite fields are another cool way to be a number."
"There are lots more numbers than 0, 1, etc, and lots more ways to express them."
On Quaternions and Octonions
"Like the complex numbers, only more so."
The Encyclopedia of Integer Sequences
"There are infinite numbers of numbers, but sometimes just one isn't enough. This is about collections (usually infinite ones) of numbers. So, all of a sudden, we have infinity to the power infinity - oops."
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