Mathematics
Articles
A
History of Zero, by J.J. O'Connor and E.F. Robertson
Zero makes shadowy appearances only to vanish again almost as if mathematicians
were searching for it yet did not recognise its fundamental significance even
when they saw it.
Euler's
Formula
Euler's
formula shows a deep relationship between the trigonometric functions and the
complex exponential function.
The
greatest equations ever
A great equation does more than set out a fundamental
property of the universe, delivering information like a signpost, but works
hard to wrest something from nature.
The
20 greatest equations
Maxwell's equations of electromagnetism
and the Euler equation top a poll to find the greatest equations of all
time.
Earliest Uses of Symbols for Constants
The history of π, e, and other symbols for mathematical constants.
Euler's Beautiful Equation
Science News article celebrating the 300th birthday of Leonhard
Euler, and his famous equation.
Imaginary numbers are not imaginary ... and real numbers are not real
Understanding i.
Euler's Formula and Complex Numbers
Just what are complex numbers and why use them?
Links to book descriptions
The
Art of the Infinite: The Pleasures of Mathematics, by Robert Kaplan and Ellen
Kaplan
The attempt to grasp the ungraspable embodies the essence of mathematics.
Imagining
Numbers: (particularly the square root of minus fifteen), by Barry Mazur
Can we really feel our imaginative faculty at work, striving toward,
and then finally achieving, an act of the imagination?
The
Nothing that Is: A Natural History of Zero, by Robert Kaplan
If you look at zero you see nothing; but look through it and you will see the
world.
Zero:
The Biography of a Dangerous Idea, by Charles Seife
Cultures girded themselves against zero, and philosophies crumbled under
its influence, for zero is different from the other numbers. It provides
a glimpse of the ineffable and the infinite. This is why it has been
feared and hated – and outlawed.
Squaring
the Circle: Geometry in Art and Architecture, by Paul A. Calter
A dynamic branch of mathematics, geometry also serves as a creative tool for
engineers, artists, and architects.
A
Beautiful Math: John Nash, Game Theory, and the Modern Quest for a Code
of Nature, by Tom Siegfried
Nash's beautiful math has become a universal language for research in the social
sciences and has infiltrated the realms of evolutionary biology, neuroscience,
and even quantum physics.
Images
NZIMA Logo
The logo for the New Zealand Institute of Mathematics and its Applications. Click
here for an interpretation.
Platonic Solids
GIF animations of the five platonic solids.
Mathematical Imagery
Mathematicians and artists continue to create stunning works in all media and
to explore the visualization of mathematics
Links
The MacTutor History of Mathematics archive
The Abel Prize
The Abel Prize is an international prize for outstanding
scientific work in the field of mathematics. It is often called
the mathematicians' Nobel Prize.
Leonhard Euler Tercentenary
On April 15th, 2007, the birthday of the great Swiss mathematician and scientist
Leonhard Euler (1707-1783) will recur for the 300th time.
Plus magazine!
Plus magazine opens a window to the world of maths, with all its beauty and applications,
by providing articles from the top mathematicians and science writers on topics
as diverse as art, medicine, cosmology and sport.
Mathematical Fiction
An attempt to collect information about all significant references to mathematics
in fiction.
Wolfram Demonstrations Project
An open resource of interactive Mathematica visualizations.
