Treks into Intuitive Geometry (eBook)
XV, 425 Seiten
Springer Tokyo (Verlag)
978-4-431-55843-9 (ISBN)
This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects. The authors believe that through dialogues between students and mathematicians, readers may discover the processes by which the founders of the theories came to their various conclusions-their trials, errors, tribulations, and triumphs. The goal is for readers to refine their mathematical sense of how to find good questions and how to grapple with these problems. Another aim is to provide enjoyment in the process of applying mathematical rules to beautiful art and design by examples that highlight the wonders and mysteries from our daily lives. To fulfill these aims, this book deals with the latest unique and beautiful results in polygons and polyhedra and the dynamism of geometrical research history that can be found around us. The term "e;intuitive geometry"e; was coined by Laszlo Fejes Toth to refer to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "e;man on the street."e; This book allows people to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity.
Jin Akiyama is a mathematician at heart. Currently, he is a fellow of the European Academy of Science, the founding editor of the journal Graphs and Combinatorics, and the director of the Research Institute of Math Education at Tokyo University of Science. He is particularly interested in graph theory and discrete and solid geometry and has published many papers in these fields. Aside from his research, he is best known for popularizing mathematics, first in Japan and then in other parts of the globe: his lecture series was broadcast on NHK (Japan’s only public broadcaster) television and radio from 1991 to 2013. He was a founding member of the Organizing Committee of the UNESCO-sponsored traveling exhibition “Experiencing Mathematics”, which debuted in Denmark in 2004. In 2013, he built a hands-on mathematics museum called Akiyama's Math Experience Plaza in Tokyo. He has authored and co-authored more than 100 books, including Factors and Factorizations of GraphsA Day’s Adventure in Math Wonderland (jointly with Mari-Jo Ruiz, World Scientific, 2008), which has been translated into nine languages.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.
Chapter 1 Art From Tiling Patterns.- Chapter 2 The Tile-Maker Theorem and Its Applications to Art and Designs.- Chapter 3 Patchwork.- Chapter 4 Reversible Pairs of Figures.- Chapter 5 Platonic Solids.- Chapter 6 Cross-Sections of Polyhedra.- Chapter 7 Symmetry of Platonic Solids.- Chapter 8 Double Duty Solids.- Chapter 9 Nets of Small Solids with Minimum Perimeter Lengths.- Chapter 10 Tessellation Polyhedra.- Chapter 11 Universal Measuring Boxes.- Chapter 12 Wrapping a Box.- Chapter 13 Bees, Pomegranates and Parallelohedra.- Chapter 14 Reversible Polyhedra.- Chapter 15 Elements of Polygons and Polyhedra.- Chapter 16 The Pentadron
| Erscheint lt. Verlag | 4.12.2015 |
|---|---|
| Zusatzinfo | XV, 425 p. |
| Verlagsort | Tokyo |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Mathematik / Informatik ► Mathematik ► Mathematische Spiele und Unterhaltung | |
| Technik | |
| Schlagworte | ART • Dehn's invariant • Element number • Equidecomposable • Hilbert's Third Problem • Intuitive Geometry • Johnson Solid • lattice • Measuring Box • Parallelohedron • Pentadron • Polygon • polyhedron • Reversibile • Sphere packing • Tile-maker • tiling • Voronoi domain • Wrapping |
| ISBN-10 | 4-431-55843-8 / 4431558438 |
| ISBN-13 | 978-4-431-55843-9 / 9784431558439 |
| Haben Sie eine Frage zum Produkt? |
PDF (Wasserzeichen)Größe: 38,9 MB
DRM: Digitales Wasserzeichen
Dieses eBook enthält ein digitales Wasserzeichen und ist damit für Sie personalisiert. Bei einer missbräuchlichen Weitergabe des eBooks an Dritte ist eine Rückverfolgung an die Quelle möglich.
Dateiformat: PDF (Portable Document Format)
Mit einem festen Seitenlayout eignet sich die PDF besonders für Fachbücher mit Spalten, Tabellen und Abbildungen. Eine PDF kann auf fast allen Geräten angezeigt werden, ist aber für kleine Displays (Smartphone, eReader) nur eingeschränkt geeignet.
Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen dafür einen PDF-Viewer - z.B. den Adobe Reader oder Adobe Digital Editions.
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen dafür einen PDF-Viewer - z.B. die kostenlose Adobe Digital Editions-App.
Zusätzliches Feature: Online Lesen
Dieses eBook können Sie zusätzlich zum Download auch online im Webbrowser lesen.
Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.
aus dem Bereich
