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© 2018

Ahmes’ Legacy

Puzzles and the Mathematical Mind

Benefits

  • Provides a rare look at the psychology and neuroscientific aspects of recreational mathematics and what it entails for understanding the mathematical mind

  • Presents an overall picture of what pizzles mean for the origins and developments of mathematics

  • Maintains a user-friendly level, while including more technical discussion of solutions in appendices for interested readers

Book

Part of the Mathematics in Mind book series (MATHMIN)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Marcel Danesi
    Pages 1-44
  3. Marcel Danesi
    Pages 45-78
  4. Marcel Danesi
    Pages 79-104
  5. Marcel Danesi
    Pages 105-125
  6. Marcel Danesi
    Pages 127-149
  7. Back Matter
    Pages 151-164

About this book

Introduction

This book looks at classic puzzles from the perspective of their structures and what they tell us about the brain. It uses the work on the neuroscience of mathematics from Dehaene, Butterworth, Lakoff, Núñez, and many others as a lens to understand the ways in which puzzles reflect imaginative processes blended with rational ones. The book is not about recreational or puzzle-based mathematics in and of itself but rather about what the classic puzzles tell us about the mathematical imagination and its impact on the discipline. It delves into the history of classic math puzzles, deconstructing their raison d’être and describing their psychological features, so that their nature can be fleshed out in order to help understand the mathematical mind.

This volume is the first monographic treatment of the psychological nature of puzzles in mathematics. With its user-friendly technical level of discussion, it is of interest to both general readers and those who engage in the disciplines of mathematics, psychology, neuroscience, and/or anthropology. It is also ideal as a textbook source for courses in recreational mathematics, or as reference material in introductory college math courses. 

Keywords

spatial reasoning math cognition Ludic arithmetic Four color problem cryptarithms alphametrics neuroscience recreational mathematics logic puzzles magic squares archetype theory

Authors and affiliations

  1. 1.Department of AnthropologyUniversity of TorontoTorontoCanada

Bibliographic information

Reviews

“This book, however, focuses almost exclusively on puzzles within recreational mathematics, and surveys a wide variety of them. The book’s title comes from the Ahmes Papyrus (also called the Rhind Papyrus), that contains some of the oldest known puzzles. One of the peculiarities of the problem-puzzle distinction is that is it time-dependent, because we develop new standard methods from working on particular puzzles.” (Allen Stenger, MAA Reviews, January, 25, 2019)