Hidetoshi / Rothman | Sacred Mathematics | Buch | 978-0-691-12745-3 | sack.de

Buch, Englisch, 392 Seiten, Format (B × H): 212 mm x 262 mm, Gewicht: 1286 g

Hidetoshi / Rothman

Sacred Mathematics

Japanese Temple Geometry
Erscheinungsjahr 2008
ISBN: 978-0-691-12745-3
Verlag: Princeton University Press

Japanese Temple Geometry

Buch, Englisch, 392 Seiten, Format (B × H): 212 mm x 262 mm, Gewicht: 1286 g

ISBN: 978-0-691-12745-3
Verlag: Princeton University Press


Between the seventeenth and nineteenth centuries Japan was totally isolated from the West by imperial decree. During that time, a unique brand of homegrown mathematics flourished, one that was completely uninfluenced by developments in Western mathematics. People from all walks of life--samurai, farmers, and merchants--inscribed a wide variety of geometry problems on wooden tablets called sangaku and hung them in Buddhist temples and Shinto shrines throughout Japan. Sacred Mathematics is the first book published in the West to fully examine this tantalizing--and incredibly beautiful--mathematical tradition. Fukagawa Hidetoshi and Tony Rothman present for the first time in English excerpts from the travel diary of a nineteenth-century Japanese mathematician, Yamaguchi Kanzan, who journeyed on foot throughout Japan to collect temple geometry problems. The authors set this fascinating travel narrative--and almost everything else that is known about temple geometry--within the broader cultural and historical context of the period. They explain the sacred and devotional aspects of sangaku, and reveal how Japanese folk mathematicians discovered many well-known theorems independently of mathematicians in the West--and in some cases much earlier. The book is generously illustrated with photographs of the tablets and stunning artwork of the period. Then there are the geometry problems themselves, nearly two hundred of them, fully illustrated and ranging from the utterly simple to the virtually impossible. Solutions for most are provided. A unique book in every respect, Sacred Mathematics demonstrates how mathematical thinking can vary by culture yet transcend cultural and geographic boundaries.

Hidetoshi / Rothman Sacred Mathematics jetzt bestellen!

Weitere Infos & Material


Foreword by Freeman Dyson ix

Preface by Fukagawa Hidetoshi xiii

Preface by Tony Rothman xv

Acknowledg ments xix

What Do I Need to Know to Read This Book? xxi

Notation xxv

Chapter 1: Japan and Temple Geometry 1

Chapter 2: The Chinese Foundation of Japanese Mathematics 27

Chapter 3: Japa nese Mathematics and Mathematicians

of the Edo Period 59

Chapter 4: Easier Temple Geometry Problems 89

Chapter 5: Harder Temple Geometry Problems 145

Chapter 6: Still Harder Temple Geometry Problems 191

Chapter 7: The Travel Diary of Mathematician Yamaguchi Kanzan 243

Chapter 8: East and West 283

Chapter 9: The Mysterious Enri 301

Chapter 10: Introduction to Inversion 313

For Further Reading 337

Index 341


Fukagawa Hidetoshi is a retired high-school teacher in Japan, and one of the world's experts on "sangaku". He is the coauthor of "Japanese Temple Geometry Problems". Tony Rothman is a theoretical cosmologist who lectures in physics at Princeton University. His books include "Everything's Relative and Other Fables from Science and Technology".



Ihre Fragen, Wünsche oder Anmerkungen
Vorname*
Nachname*
Ihre E-Mail-Adresse*
Kundennr.
Ihre Nachricht*
Lediglich mit * gekennzeichnete Felder sind Pflichtfelder.
Wenn Sie die im Kontaktformular eingegebenen Daten durch Klick auf den nachfolgenden Button übersenden, erklären Sie sich damit einverstanden, dass wir Ihr Angaben für die Beantwortung Ihrer Anfrage verwenden. Selbstverständlich werden Ihre Daten vertraulich behandelt und nicht an Dritte weitergegeben. Sie können der Verwendung Ihrer Daten jederzeit widersprechen. Das Datenhandling bei Sack Fachmedien erklären wir Ihnen in unserer Datenschutzerklärung.