Wednesday 17 August 2011

Review: Train your brain: a year's worth of puzzles

June 29th, 2011 | by Sol |

Some books are difficult to review. This is not. Train your brain: a year's worth of puzzle is kind of book where you see on some of its puzzles. If the intrigue you, you'll like the book. Simple enough.

Here is a puzzle.

Knight in chess board. We would like to move a Knight deposits chess, so we go from the lower-left corner to the upper-right corner, lands in process on each square exactly once. Is this problem solvable?

This is a great mystery, which I will use in my Math circles. It is a nice little exploration and it generalizes well to make it harder for people to resolve it very soon. For those who hang, there is a tip on another page so that the tip is not just in front of you.

Author George Gratzer has a nice compilation of varied math and logic puzzles. The book is divided into 52 chapters, one for each week of the year. The first 36 chapters each have three puzzles. The remaining 16 are "Black Belt" chapters, with the two puzzles in each of these.

Here is a black belt problem.

An interesting game. This is a game for two people. The players take turns laying down quarters on a rectangular table until no more coins fits on the top table. coins may touch but cannot overlap each other. The winner is the player who places the last coin on the table. There is a winning strategy for the player who goes first?

I the book. The puzzles are very clever. Many are elegant, the problem is easy to State and the right insight will help to solve it easily. The author has written a number of books. The Publisher's Web site tells about the author:

George Grätzer is a distinguished professor in the Department of mathematics at the University of Manitoba. He has published over 200 research publications and 25 books, including General Lattice theory and Math in LaTex. He is a member of the Canadian Academy of Sciences and an external member of the Hungarian Academy of Sciences.

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