Mathematics Is Not a Spectator Sport

George Phillips is Professor of Mathematics at St. Andrews University, Scotland.  He is the author of two previous books also published by Springer, Two Millenia of Mathematics (2000), and Interpolation and Approximation by Polynomials (2003).

• Squares.- Numbers, Numbers Everywhere.- Fibonacci Numbers.- Prime Numbers.- Choice and Chance.- Geometrical Constructions.- The Algebra of Group.

From the reviews: "The title of this book is an aphorism known by many concerned with the education of mathematicians, at many different levels. It is appropriate at all levels from primary school children 'investigating' to postgraduates generating and attempting to solve new problems. ... The suggested audience is senior students in high school, students just beginning mathematics at university, and general readers no longer formally studying mathematics ... . The content and style of the book matches this quite well and realistically." (John Baylis, The Mathematical Gazette, Vol. 91 (520), 2007) "In this book, the author develops some (easy) mathematical concepts, which are suitable for high school students or non-mathematicians disciplines ... . Each of the seven chapters is an invitation to learn new mathematical concepts. ... The book is carefully written and a pleasure to read. ... It is ... an excellent prize to honor high school students for some extraordinary work in mathematics." (Alexander Pott, Zentralblatt MATH, Vol. 1140, 2008)