Bryan Bunch takes an unusual approach to describing what makes certain numbers both unique and essential for mental calculation. In the same way that detailed bird illustrations aid birdwatchers, "The Kingdom of the Infinite Number" is a field guide to commonly encountered "species" of numbers that illuminate unusual mathematical patterns and relationships. Each number is described in terms of field marks, similar species, personality and associations. Other numerical topics of interest to maths fans, such as triangular or fibonacci numbers and the meaning of infinity, are interspersed.