Seki, Founder of Modern Mathematics in Japan PDF Download
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Author: Eberhard Knobloch
Publisher: Springer Science & Business Media
ISBN: 4431542736
Category : Mathematics
Languages : en
Pages : 604
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Book Description
Seki was a Japanese mathematician in the seventeenth century known for his outstanding achievements, including the elimination theory of systems of algebraic equations, which preceded the works of Étienne Bézout and Leonhard Euler by 80 years. Seki was a contemporary of Isaac Newton and Gottfried Wilhelm Leibniz, although there was apparently no direct interaction between them. The Mathematical Society of Japan and the History of Mathematics Society of Japan hosted the International Conference on History of Mathematics in Commemoration of the 300th Posthumous Anniversary of Seki in 2008. This book is the official record of the conference and includes supplements of collated texts of Seki's original writings with notes in English on these texts. Hikosaburo Komatsu (Professor emeritus, The University of Tokyo), one of the editors, is known for partial differential equations and hyperfunction theory, and for his study on the history of Japanese mathematics. He served as the President of the International Congress of Mathematicians Kyoto 1990.
Author: Eberhard Knobloch
Publisher: Springer Science & Business Media
ISBN: 4431542736
Category : Mathematics
Languages : en
Pages : 604
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Book Description
Seki was a Japanese mathematician in the seventeenth century known for his outstanding achievements, including the elimination theory of systems of algebraic equations, which preceded the works of Étienne Bézout and Leonhard Euler by 80 years. Seki was a contemporary of Isaac Newton and Gottfried Wilhelm Leibniz, although there was apparently no direct interaction between them. The Mathematical Society of Japan and the History of Mathematics Society of Japan hosted the International Conference on History of Mathematics in Commemoration of the 300th Posthumous Anniversary of Seki in 2008. This book is the official record of the conference and includes supplements of collated texts of Seki's original writings with notes in English on these texts. Hikosaburo Komatsu (Professor emeritus, The University of Tokyo), one of the editors, is known for partial differential equations and hyperfunction theory, and for his study on the history of Japanese mathematics. He served as the President of the International Congress of Mathematicians Kyoto 1990.
Author: Annick Horiuchi
Publisher: Birkhäuser
ISBN: 9783764387440
Category : Mathematics
Languages : en
Pages : 0
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Book Description
The book presents the main features of the Wasan tradition, which is the indigenous mathematics that developed in Japan during the Edo period. (1600-1868). It begins with a description of the first mathematical textbooks published in the 17th century, then shifts to the work of the two leading mathematicians of this tradition, Seki Takakazu and Takebe Katahiro. The book provides substantial information on the historical and intellectual context, the role played by the Chinese mathematical treatises introduced at the late 16th century, and an analysis of Seki’s and Takebe’s contribution to the development of algebra and calculus in Japan.
Author: Fukagawa Hidetoshi
Publisher: Princeton University Press
ISBN: 1400829712
Category : Mathematics
Languages : en
Pages : 392
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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: Yoshio Mikami
Publisher:
ISBN:
Category : Mathematics, Chinese
Languages : en
Pages : 366
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Book Description
Author: Christoph J. Scriba
Publisher: Birkhäuser
ISBN: 3034808984
Category : Mathematics
Languages : en
Pages : 638
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Book Description
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)
Author: John Fauvel
Publisher: Springer Science & Business Media
ISBN: 0306472201
Category : Education
Languages : en
Pages : 456
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Book Description
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
Author: Marius B. Jansen
Publisher: Harvard University Press
ISBN: 0674039106
Category : History
Languages : en
Pages : 933
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Book Description
Magisterial in vision, sweeping in scope, this monumental work presents a seamless account of Japanese society during the modern era, from 1600 to the present. A distillation of more than fifty years’ engagement with Japan and its history, it is the crowning work of our leading interpreter of the modern Japanese experience. Since 1600 Japan has undergone three periods of wrenching social and institutional change, following the imposition of hegemonic order on feudal society by the Tokugawa shogun; the opening of Japan’s ports by Commodore Perry; and defeat in World War II. The Making of Modern Japan charts these changes: the social engineering begun with the founding of the shogunate in 1600, the emergence of village and castle towns with consumer populations, and the diffusion of samurai values in the culture. Marius Jansen covers the making of the modern state, the adaptation of Western models, growing international trade, the broadening opportunity in Japanese society with industrialization, and the postwar occupation reforms imposed by General MacArthur. Throughout, the book gives voice to the individuals and views that have shaped the actions and beliefs of the Japanese, with writers, artists, and thinkers, as well as political leaders given their due. The story this book tells, though marked by profound changes, is also one of remarkable consistency, in which continuities outweigh upheavals in the development of society, and successive waves of outside influence have only served to strengthen a sense of what is unique and native to Japanese experience. The Making of Modern Japan takes us to the core of this experience as it illuminates one of the contemporary world’s most compelling transformations.
Author: David Eugene Smith
Publisher:
ISBN:
Category : Mathematics, Japanese
Languages : en
Pages : 328
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Book Description
Author: Hideomi Tuge
Publisher:
ISBN:
Category : Japan
Languages : en
Pages : 264
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Book Description
Author: Benjamin A. Elman
Publisher: Harvard University Press
ISBN: 0674036476
Category : History
Languages : en
Pages : 606
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Book Description
In On Their Own Terms, Benjamin A. Elman offers a much-needed synthesis of early Chinese science during the Jesuit period (1600-1800) and the modern sciences as they evolved in China under Protestant influence (1840s-1900). By 1600 Europe was ahead of Asia in producing basic machines, such as clocks, levers, and pulleys, that would be necessary for the mechanization of agriculture and industry. In the seventeenth and eighteenth centuries, Elman shows, Europeans still sought from the Chinese their secrets of producing silk, fine textiles, and porcelain, as well as large-scale tea cultivation. Chinese literati borrowed in turn new algebraic notations of Hindu-Arabic origin, Tychonic cosmology, Euclidian geometry, and various computational advances. Since the middle of the nineteenth century, imperial reformers, early Republicans, Guomindang party cadres, and Chinese Communists have all prioritized science and technology. In this book, Elman gives a nuanced account of the ways in which native Chinese science evolved over four centuries, under the influence of both Jesuit and Protestant missionaries. In the end, he argues, the Chinese produced modern science on their own terms.
