Human beings are famously prone to error, and proof-readers are, after all, only human. But who picks up the errors a proof-reader misses? John D. Barrow challenges readers to estimate the errors that aren't found from the errors that are.
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.
"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 one of the world's outstanding pedagogic texts. It has the rare distinction of being a mathematics book that has sold a million copies. The COMAP project is a coalition of leading mathematicians and educators, directed by Solomon Garfunkel, who over a period of twelve years and five ever-expanding editions have created a beautiful introduction to the practical applications of some of the most important areas of discrete mathematics.
One of the most striking and powerful means of presenting numbers is completely ignored in the mathematics that is taught in schools, and it rarely makes an appearance in university courses. Yet the continued fraction is one of the most revealing representations of many numbers, sometimes containing extraordinary patterns and symmetries. John D. Barrow explains.