Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From the Knight's Tour Problem and Queens Domination to their many variations, John Watkins surveys all the well-known problems in this surprisingly fertile area of recreational mathematics. Can a knight follow a path that covers every square once, ending on the starting square? How many queens are needed so that every square is...
Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple gri...
The natural numbers have been studied for thousands of years, yet most undergraduate textbooks present number theory as a long list of theorems with little mention of how these results were discovered or why they are important. This book emphasizes the historical development of number theory, describing methods, theorems, and proofs in the contexts in which they originated, and providing an accessible introduction to one of the most fascinating subjects in mathematics.
Written in an informal style by an award-winning teacher, Number Theory covers prime numbers, Fibonacci...
The natural numbers have been studied for thousands of years, yet most undergraduate textbooks present number theory as a long list of theorems wit...
