# QUOTES

Philip
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.

Mark Kac

In my dreams I saw the normal law coming out naturally in contexts close
to some kind of physical reality.

David Mumford

Probability theory and statistical inference will affect virtually all
of mathematics in the next century.

Daniel
Z. Freedman

A physical law must possess mathematical beauty

W.J. Youden

The Normal Law of Error (typesetting by the author)

# ARTICLES

*Student
Seminars on “Famous Equations,”*

by Richard Mongomery

The ideas captured by these germinal equations are body and soul for much of
mathematics. They evoke reactions such as “That's neat!,” “Clever!,” “I
don't believe it!,” “Hmm...” or “Curious!” (pdf)

*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
Chaitin’s career*

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)

# BOOKS

*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)

*Meta Math! The Quest for Omega*

by Gregory Chaitin

An opportunity to get inside the head of a creative mathematician and see
what makes him tick. 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)

# BOOK REVIEWS

*Creating
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.

# COURSES

*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

Video lectures

# POWER POINT

**A Very Brief and Shallow Introduction to:
Chaos Theory and
Fractals**

**by Faisal Hosein**

# VIDEOS

**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."

*The
Joy of Stats*

Hans Rosling explores the history of statistics, how stats work mathematically,
and how, using statistics, we can take the massive deluge of data of today's
computer age and use it to see the world as it really is.

# ILLUSTRATIONS

**Pascal's
Triangle**

An animation demonstrating the construction of the famous geometric arrangement
of integers.

*Estimating*

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.

# LINKS

**Math
Subject Guide**

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.

**National
Curve Bank**

Mapping the landscape of mathematics.

The
Code

A mathematics-based documentary for BBC Two presented by Marcus du Sautoy.