Modern Style in Mathematical Analysis

Some Hints on Mathematical Style

Many years ago, just after my degree, I had the good fortune to be given some hints on mathematical writing by J.-P. Serre. Through the years I have found myself trying to repeat this very sound advice to other mathematicians who are also starting out. I have also been involved in the publishing of a proceedings volume, as well as being an editor of the Journal of Number Theory. Many of the pap...

Hegel’s Dialectic and the Advancement of Modern Mathematical Analysis

Style Sheet Languages and Mathematical Material

In this paper, we first survey some emerging technologies which are related to mathematics and computing, especially to mathematical communication via computer networks. Before mathematics can be used ‘interactively’ on the World Wide Web, there are a number of obstacles that would need to be removed and we try to identify these. In particular we concentrate on style sheets for mathematics.

CindyJS - Mathematical Visualization on Modern Devices

The CindyJS Project brings interactive mathematical visualization to a broad variety of devices. Using projective geometry, homotopy methods and well tuned algorithms the CindyJS project is one of the first real time capable software projects in this field that at the same time approaches high-level mathematical descriptions and performance.

1 . Mathematical Principles of Modern Natural

At the beginning of the seventeenth century, two great philosophers, Francis Bacon (1561–1626) in England and René Descartes (1596–1650) in France, proclaimed the birth of modern science. Each of them described his vision of the future. Their visions were very different. Bacon said, “All depends on keeping the eye steadily fixed on the facts of nature.” Descartes said, “I think, therefore I am....