Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Sangaku Proofs PDF full book. Access full book title Sangaku Proofs by J. Marshall Unger. Download full books in PDF and EPUB format.
Author: J. Marshall Unger Publisher: Cornell University - Cornell East Asia Series ISBN: 9781939161550 Category : Mathematics Languages : en Pages : 0
Book Description
The geometry problems colorfully inscribed on sangaku plaques that survive in shrines and temples throughout Japan have long fascinated those who appreciate the beauty of geometric figures and enjoy challenging puzzles. Aida Yasuaki (1847-1817) was one of the most prolific originators of the wasan tradition that produced them. Instead of presenting and solving problems using modern techniques, Unger presents Aida's own solutions, transcribing his calculations into familiar mathematical notation, highlighting connections between Aida's work and both the mathematics of today and aspects of Japanese cultural history.
Author: J. Marshall Unger Publisher: Cornell University - Cornell East Asia Series ISBN: 9781939161550 Category : Mathematics Languages : en Pages : 0
Book Description
The geometry problems colorfully inscribed on sangaku plaques that survive in shrines and temples throughout Japan have long fascinated those who appreciate the beauty of geometric figures and enjoy challenging puzzles. Aida Yasuaki (1847-1817) was one of the most prolific originators of the wasan tradition that produced them. Instead of presenting and solving problems using modern techniques, Unger presents Aida's own solutions, transcribing his calculations into familiar mathematical notation, highlighting connections between Aida's work and both the mathematics of today and aspects of Japanese cultural history.
Author: Fukagawa Hidetoshi Publisher: Princeton University Press ISBN: 1400829712 Category : Mathematics Languages : en Pages : 392
Book Description
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.
Author: Hidetoshi Fukagawa Publisher: ISBN: Category : Mathematics Languages : en Pages : 228
Book Description
A selection from the hundreds of problems in Euclidean geometry displayed on devotional mathematical tablets (Sangaku) which were hung under the roofs of shrines or temples in Japan during two centuries of schism from the west, with solutions and answers.
Author: Elizabeth A. Donovan Publisher: American Mathematical Society ISBN: 1470474662 Category : Mathematics Languages : en Pages : 370
Book Description
This book offers engaging cross-curricular modules to supplement a variety of pure mathematics courses. Developed and tested by college instructors, each activity or project can be integrated into an instructor’s existing class to illuminate the relationship between pure mathematics and other subjects. Every chapter was carefully designed to promote active learning strategies. The editors have diligently curated a volume of twenty-six independent modules that cover topics from fields as diverse as cultural studies, the arts, civic engagement, STEM topics, and sports and games. An easy-to-use reference table makes it straightforward to find the right project for your class. Each module contains a detailed description of a cross-curricular activity, as well as a list of the recommended prerequisites for the participating students. The reader will also find suggestions for extensions to the provided activities, as well as advice and reflections from instructors who field-tested the modules. Teaching Mathematics Through Cross-Curricular Projects is aimed at anyone wishing to demonstrate the utility of pure mathematics across a wide selection of real-world scenarios and academic disciplines. Even the most experienced instructor will find something new and surprising to enhance their pure mathematics courses.
Author: Jean Constant Publisher: Hermay NM ISBN: Category : Art Languages : en Pages : 97
Book Description
Sangaku are geometrical problems carved on wooden tablets. They were very popular in Japan during the Edo period (1603-1867) but the tradition got all but forgotten until recently as a renewed interest by mathematicians and scholars brought them back to the public attention. This book includes over 60 illustrations inspired by original Sangaku problems and focuses on the aesthetic appeal of this exceptional and unique demonstration of universal geometry principles. The images in this book are available, large format, @ http://bit.ly/JCArtGallery
Author: Seung-Ja Choi Publisher: Cornell University Press ISBN: 1942242735 Category : Poetry Languages : en Pages : 240
Book Description
This volume is a translation of Choi Seung-ja's 1991 anthology titled Portrait of a Suburbanite. Published in the series of "100 Prominent Korean Poets" by Mirae Press, the poems in this volume were selected from four of Choi's previous works titled, Love of This Age (1981), Merry Diary (1984), House of Memory (1989), and the subsequently published My Tomb, Green (1993). Speaking with a fierce sense of equality and independence, Choi Seung-ja's poetry battled ossified forms of language not only on the political but also the personal front. Like her male colleagues, Choi parodied and critiqued the idol of the father, but even further, she insightfully explored irreverent content to reveal the gendered constraints of the lyric form. In particular, Choi exposed the idolatrous power of the lover, the basis of exploitation and injustice at the most intimate level. On top of their political disempowerment as citizens, the private and domestic alienation of women as daughters, lovers, and wives form a deep stratum of repression. When Choi's women personae broke this long silence of compliance nurtured by the traditional lyric and voiced themselves as exploited and traumatized, yet fearless and tenacious human beings, the shock of this transgression shook the nation. In turn it demonstrate how long and how powerfully the gender constrictions had been imposed on Korean women.
Author: J. Marshall Unger Publisher: Cornell East Asia Series ISBN: 9781939161697 Category : History Languages : en Pages : 0
Book Description
"During the period of national isolation, a mathematical tradition called wasan flourished in Japan. Though virtually unknown to Europeans before the Meiji Restoration, its practitioners, the wasanka, produced some results comparable to (and sometimes in advance of) those of mathematicians of the European Enlightment. This volume, a companion to Unger's earlier translation of solutions by Aida Yasuaki (1747-1817), focuses on problems that Aida most likely used as a teacher. Unger explains the reasons for believing this, and sheds further light on the intellectual milieu in which Aida worked by discussing other books by Aida, including one in which he describes Dutch techniques of navigation. A specialist in the history of the Japanese language, Unger aims to make actual wasan materials accessible to bring fellow amateur mathematicians and interested professionals, and to explore new aspects of how wasan fit into the larger picture of premodern Japanese cultural history."--Back cover.
Author: Mircea Pitici Publisher: Princeton University Press ISBN: 0691175292 Category : Mathematics Languages : en Pages : 401
Book Description
The year's finest mathematics writing from around the world This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2016 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Burkard Polster shows how to invent your own variants of the Spot It! card game, Steven Strogatz presents young Albert Einstein's proof of the Pythagorean Theorem, Joseph Dauben and Marjorie Senechal find a treasure trove of math in New York's Metropolitan Museum of Art, and Andrew Gelman explains why much scientific research based on statistical testing is spurious. In other essays, Brian Greene discusses the evolving assumptions of the physicists who developed the mathematical underpinnings of string theory, Jorge Almeida examines the misperceptions of people who attempt to predict lottery results, and Ian Stewart offers advice to authors who aspire to write successful math books for general readers. And there's much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.
Author: J. Marshall Unger
Author: J. Marshall Unger
Author: Fukagawa Hidetoshi
Author: Hidetoshi Fukagawa
Author: Elizabeth A. Donovan
Author: Jean Constant
Author: Seung-Ja Choi
Author: John R. Bentley
Author: J. Marshall Unger
Author: Mircea Pitici
Author: Tsung-I Jao