Train Your Brain: A Year's Worth of Puzzles, 1st Edition (Paperback) book cover

Train Your Brain

A Year's Worth of Puzzles, 1st Edition

By George Gratzer

A K Peters/CRC Press

254 pages

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pub: 2011-04-22
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Many people start the day with physical exercise but few seem to be so concerned with exercising the most human of organs-the brain. This book provides you with entertaining and challenging mental exercises for every week of the year. Whether you are a high school student eager to sharpen your brain, or someone older who would like to retain your mental agility, you will find your brain getting sharper and more agile as you solve the puzzles in this book. Read a few puzzles every week, think about them, solve them, and you will see the results. And on the way to a sharper mind, you will enjoy every step.


This puzzle collection is a great assortment of mathematical-logical thought cultivators. It presents novel puzzles interspersed with a handful of classics. These challenging brainteasers will set students on a path of deductive reasoning.

—Michael Davis, Mathematics Teacher, November 2012

This is a perfectly delightful book which will provide many hours of pleasure to the mathematically inclined child or adult. It would be a nice birthday present, for example.

—Norman R. Draper, International Statistical Review, 2012

Train Your Brain is an enjoyable way to exercise your brain and spend a few spare minutes during the day. While this collection of math and logic puzzles vary in depth and complexity, they are certainly challenging enough to keep anyone engaged. I found the structure of Grätzer’s book to be particularly appealing. … I really enjoyed solving and attempting to solve the puzzles presented in this book. … most could be solved by anyone from an advanced high school student to a college student with a solid background in mathematics. There is something for everyone in this book.

—Janet Shiver, MAA Reviews, February 2012

Table of Contents

The Gym

Black Belt





Mathematical Induction

Some Important Formulas

Prime Numbers

Prime Factorization

A Friendly Afterword to the Reader

Afterword to the English Translation

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 into LaTex. He is a member of the Canadian Academy of Sciences and an external member of the Hungarian Academy of Sciences.

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Recreations & Games