Authors:
- Is a unique book combining the rich mathematical content of polygons and polyhedra, in a writing style that appeals to all readers
- Shows how the world of polygons and polyhedra connects to the world of aesthetics, with an interplay between mathematics and art
- Introduces a history of old mathematical problems and explains such problems in a fresh, enticing manner
- Presents non-trivial mathematical results in a way that is both unique and accessible, combining the richness of dialogues, mathematical proofs, and beauty of shapes
- Shows how the world of polygons and polyhedra can be viewed as useful and enjoyable without sacrificing the beauty of the deeper mathematics
- Introduces a wide range of interplay between mathematics and art and presents a more visually entertaining form of mathematics that attracts readers
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Table of contents (16 chapters)
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Front Matter
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Back Matter
About this book
Reviews
“The subjects within Treks into Intuitive Geometry directly relate to what German mathematician David Hilbert distinguished as topics that could interest a ‘man on the street.’ … The book contains colorful diagrams and reprints of famous artwork. … Summing Up: Recommended. General readers through lower-division undergraduates.” (M. D. Sanford, Choice, Vol. 54 (2), October, 2016)
“Treks into Intuitive Geometry is a delightful read covering various topics in geometry, from tilings of the plane to three-dimensional solids. … This book is also filled with wonderful full-color illustrations. … With these concrete topics and easy-going style, this book can be enjoyed by mathematicians and recreational puzzlers alike.” (Tricia Muldoon Brown, MAA Reviews, maa.org, April, 2016)
“The authors' efforts to provide figures and experiments, as well as the many references with ‘everyday life’ suchas art, architecture and optimization, will be appreciated by teachers or self-taugth readers. In various way, this book is poetic, and contains several references to the Japanese culture and history. It is uncommon in its construction, well illustrated and entertaining. In summary, a good outreach book for a broad audience.” (Matthieu Jacquemet, zbMATH 1339.52001, 2016)
Authors and Affiliations
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Tokyo University of Science, Tokyo, Japan
Jin Akiyama
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Yokohama, Japan
Kiyoko Matsunaga
About the authors
Kiyoko Matsunaga is a science writer for mathematics. She has contributed not only through
Japanese-language books, but also in NHK TV programs on mathematics, including Math, I Like It for elementary students, Math Time Travel for junior and senior high school students, and The Joy of Math and Math Wonderland for the broader public.
Bibliographic Information
Book Title: Treks into Intuitive Geometry
Book Subtitle: The World of Polygons and Polyhedra
Authors: Jin Akiyama, Kiyoko Matsunaga
DOI: https://doi.org/10.1007/978-4-431-55843-9
Publisher: Springer Tokyo
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Japan 2015
Hardcover ISBN: 978-4-431-55841-5Published: 15 December 2015
Softcover ISBN: 978-4-431-56709-7Published: 14 March 2019
eBook ISBN: 978-4-431-55843-9Published: 04 December 2015
Edition Number: 1
Number of Pages: XV, 425
Topics: Mathematics in Art and Architecture, Polytopes, Discrete Mathematics, Popular Science in Mathematics