Ahmes’ Legacy

Puzzles and the Mathematical Mind

Marcel Danesi (Autor)

Buch | Softcover

XIII, 164 Seiten

2018
Springer International Publishing (Verlag)
978-3-030-06621-5 (ISBN)

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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.

1. Puzzles and Mathematics.- 2. An Archetype Theory of Puzzles.- 3. Puzzles and Discovery.- 4. Puzzles and Spatial Reasoning.- 5. The Mathematical Mind.- References.- Index.

"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)

Erscheint lt. Verlag	13.12.2018
Reihe/Serie	Mathematics in Mind
Zusatzinfo	XIII, 164 p. 99 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	285 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	alphametrics • archetype theory • cryptarithms • Four Color Problem • logic puzzles • Ludic arithmetic • magic squares • math cognition • Neuroscience • Recreational Mathematics • Spatial Reasoning
ISBN-10	3-030-06621-5 / 3030066215
ISBN-13	978-3-030-06621-5 / 9783030066215
Zustand	Neuware