From the Publisher
Number Mosaics has little in common with most other books ofrecreational mathematics. Though it contains much for the reader tomarvel at and wonder about, it is far from being just another book ofmind bending puzzles. It is more in the nature of a story of discoveryand adventure in hitherto unexplored regions of the fascinatinguniverse of numbers and patterns. As the story unfolds, the reader isdrawn into it and soon becomes a member of the exploring party. Theproblems which feature in the book are intriguing in themselves, butthe focus is not so much on obtaining the right answers as on thenumerous and ingenious ways of arriving at the solutions. Theapproach adopted is similar to that often used in the past by oldmasters like Fermat, Euler and Gauss, to name a few. The criticalexamination of raw data initially invokes a response in the form of aconjecture which is then refined and tested in wider and wider fields.The book abounds with illustrative examples and illuminating diagrams,and throughout it the search for universals continues like a powerfulundercurrent, as master keys are forged which work under all manner ofchanging conditions for solving a variety of problems, often withoutthe need for calculations. This is a book which lovers of number lorewill surely relish.