J. Davis & Reuben Hersh
The universe has imposed mathematics upon humanity.
William J. Adams
The Central Limit is one of the most remarkable results in all of mathematics.
In my dreams I saw the normal law coming out naturally in contexts close to some kind of physical reality.
Probability theory and statistical inference will affect virtually all of mathematics in the next century.
A physical law must possess mathematical beauty
The Normal Law of Error (typesetting by the author)
On the Law of Normal Probability,
by Abraham De Moivre
The first statement of the formula for the “normal curve.” (pdf)
Leibniz medallion comes to life after 300 years in celebration of Greg
Anime Ex Machina
In the mid 1960s, while still a teenager, Chaitin created algorithmic information theory (AIT). In the three decades since, he has been the principal architect of AIT. See also Greg Chaitlin's website.
Alice's adventures in algebra: Wonderland solved
by Melanie Bayley
The 19th century was a turbulent time for mathematics, with many new and controversial concepts, like imaginary numbers, becoming widely accepted in the mathematical community. Putting Alice's Adventures in Wonderland in this context, it becomes clear that Lewis Carroll, a stubbornly conservative mathematician, used some scenes to satirise these radical new ideas. (full text online)
The Fourth Dimension Simply Explained
ed. Henry P. Manning
A collection of essays selected from those submitted in Scientific American's prize competition. (full text online)
How Mathematicians Think
by William Byers
You enter the first room of the mansion and it’s completely dark. You stumble around bumping into the furniture, but gradually you learn where each piece of furniture is. Finally after six months or so, you find the light switch, you turn it on, and suddenly it’s all illuminated. Then you move into the next room and spend another six months in the dark. (Introduction online)
Modern Probability: Its Mathematics, Physics, and Philosophy in Historical
Perspective, by Jan von Plato
review by Glenn Shafer
Combining a sweeping vision with a sympathetic and thorough marshaling of sources, it brings to life the emergence of measure-theoretic probability in the first third of the twentieth century.
Mathematics, Philosophy and the Real World
by Judith Grabiner
A 36-lecture series that explores mathematical concepts and practices that can be applied to a fascinating range of areas and experiences.
Full text lectures
Gaussian probability distribution curve demonstration
Demonstration of the bell curve and its appearance in nature, even in the simplest phenomena.
Is God a Mathematician?
by Michio Kaku
“The mind of God we believe is cosmic music, the music of strings resonating through 11 dimensional hyperspace."
An animation demonstrating the construction of the famous geometric arrangement of integers.
Experiencing Mathematics Exhibition
Are most of us average? If we classify the inhabitants of a town, the leaves on a tree..., according to a characteristic (size, weight, IQ, level of competence...) the more one approaches the average for each criterion the more individuals there are. The further from the average, the fewer they are. At the extremities, there is almost no one. The graphic representation of this fact is called a Gaussian curve.
LINKS TO BOOK DESCRIPTIONS
The Fabulous Fibonacci Numbers
by Alfred S. Posamentier and Ingmar Lehmann
An utterly fscinating tour of the many ramifications of the Fibonacci numbers.
Pascal's Arithmetical Triangle: The Story of a Mathematical Idea
by A. W. F. Edwards
This book traces the Arithmetical Triangle back to its roots, and gives an account of the progressive solution of combinatorial problems.
The Subject Guide of Mathematics Resources provided by Ying Zhong, Subject Librarian at Walter W. Stiern Library.
The Gaussian Distribution
The Gaussian Distribution, also called the Frequency Curve, Bell Curve, or Normal Distribution, is one of the most widely studied topics in all mathematics.
Mapping the landscape of mathematics.