By Marc Chamberland

The numbers one via 9 have extraordinary mathematical houses and features. for example, why do 8 excellent card shuffles go away a regular deck of playing cards unchanged? Are there particularly "six levels of separation" among all pairs of individuals? and the way can any map want simply 4 shades to make sure that no areas of a similar colour contact? In *Single Digits*, Marc Chamberland takes readers on a desirable exploration of small numbers, from one to 9, their background, functions, and connections to varied parts of arithmetic, together with quantity conception, geometry, chaos concept, numerical research, and mathematical physics.

Each bankruptcy makes a speciality of a unmarried digit, starting with effortless thoughts that turn into extra complex because the bankruptcy progresses. Chamberland covers monstrous numerical territory, corresponding to illustrating the ways in which the quantity 3 connects to chaos thought, an unsolved challenge related to Egyptian fractions, the variety of guards had to defend an artwork gallery, and tricky election effects. He considers the position of the quantity seven in matrix multiplication, the Transylvania lottery, synchronizing signs, and listening to the form of a drum. all through, he introduces readers to an array of puzzles, comparable to ideal squares, the 4 hats challenge, Strassen multiplication, Catalan's conjecture, and a lot more. The book's brief sections will be learn independently and digested in bite-sized chunks--especially solid for studying concerning the Ham Sandwich Theorem and the Pizza Theorem.

Appealing to school and faculty scholars, expert mathematicians, and people mesmerized by way of styles, this ebook indicates that unmarried digits provide a plethora of probabilities that readers can count number on.