"I am certain, absolutely certain that...these theories will be recognized as fundamental at some point in the future."
Sophus Lie said these words more than hundred years ago. We know now that he was right, absolutely right. The notions of "Lie groups" and "Lie algebras" are in the vocabulary of every mathematician and physicist today. Lie's theories are indispensable tools for understanding the physical laws of Nature.
"As Obi-Wan Kenobi said about the Light Sabre in Star Wars IV, a slide-rule is an ancient weapon from a more civilised age," state Chris Budd and Chris Sangwin in their book, Mathematics Galore, soon to released by Oxford University Press. The book digs up the slide-rule and a few more historical artefacts, as well as the art of country dancing, to present a pick-and-mix bag of mathematical ideas for the aspiring mathematician or the mathematically inclined general reader.
This beautifully illustrated book by the world's leading authority on African mathematics provides us with a wide-ranging introduction to mathematical intuition in sub-Saharan African cultures. These cultures are extremely diverse and expressive in their creation of designs and motifs that embody geometrical and topological ideas. No one is better qualified to tell us about it than Paulus Gerdes, who has lived and worked in Mozambique for many years.
This CD ROM, produced by the Centre for the Popularisation of Mathematics at the University of Wales in Bangor, is a most unusual mixture of mathematical exposition and modern art. A central part of the content is a gallery of sculptures by John Robinson, much of whose work takes inspiration from mathematical objects, such as fractals and knots. This work, described by the artist as symbolic sculpture, uses forms such as the logarithmic spiral, and makes connections with the forces that shape our universe.
"Math Chat" began as a live phone-in TV show in the USA, spawned a newspaper column and a website, and now it has produced a book. The whole project was the brainchild of Williams' College mathematician Frank Morgan and has both stimulated interest in maths across a broad range of the community and led to the formation of highly successful undergraduate research groups in mathematics.
This is the story of Sarah Flannery, who at age 16 won the titles of 1999 Irish Young Scientist of the Year and European Young Scientist of the Year for her innovative work on cryptography. Written by Sarah with her father David, who taught her mathematics from a young age and encouraged her mathematical flights, the book is an engaging mix of mathematical exposition - always clear and rigorous but never dull - and first-person descriptions of the storm that erupted when the world media latched onto her story. Easily written in a friendly style, you could imagine that this is the adventure of someone you know.