Seki, Founder of Modern Mathematics in Japan

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Publisher : Springer Science & Business Media
ISBN 13 : 4431542736
Total Pages : 604 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Seki, Founder of Modern Mathematics in Japan by : Eberhard Knobloch

Download or read book Seki, Founder of Modern Mathematics in Japan written by Eberhard Knobloch and published by Springer Science & Business Media. This book was released on 2013-11-13 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Japanese Mathematics in the Edo Period (1600-1868)

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Publisher : Birkhäuser
ISBN 13 : 9783764387440
Total Pages : 0 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Japanese Mathematics in the Edo Period (1600-1868) by : Annick Horiuchi

Download or read book Japanese Mathematics in the Edo Period (1600-1868) written by Annick Horiuchi and published by Birkhäuser. This book was released on 2010-09-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The development of mathematics in China and Japan

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Publisher :
ISBN 13 :
Total Pages : 366 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The development of mathematics in China and Japan by : Yoshio Mikami

Download or read book The development of mathematics in China and Japan written by Yoshio Mikami and published by . This book was released on 1913 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of Japanese Mathematics

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Publisher : Courier Corporation
ISBN 13 : 0486154467
Total Pages : 304 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis A History of Japanese Mathematics by : David E. Smith

Download or read book A History of Japanese Mathematics written by David E. Smith and published by Courier Corporation. This book was released on 2013-03-21 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic survey chronicles the development of the Japanese mathematics: use of the abacus; application of counting rods to algebra; Seki Kowa; the circle principle; Ajima Chokuyen; Wada Nei; more. 1914 edition. Includes 74 figures.

Sacred Mathematics

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Publisher : Princeton University Press
ISBN 13 : 1400829712
Total Pages : 392 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Sacred Mathematics by : Fukagawa Hidetoshi

Download or read book Sacred Mathematics written by Fukagawa Hidetoshi and published by Princeton University Press. This book was released on 2021-08-10 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multicivilizational Exchanges in the Making of Modern Science

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Publisher : Springer Nature
ISBN 13 : 9819735416
Total Pages : 460 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis Multicivilizational Exchanges in the Making of Modern Science by : Arun Bala

Download or read book Multicivilizational Exchanges in the Making of Modern Science written by Arun Bala and published by Springer Nature. This book was released on with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics Across Cultures

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Publisher : Springer Science & Business Media
ISBN 13 : 9401143013
Total Pages : 489 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Mathematics Across Cultures by : Helaine Selin

Download or read book Mathematics Across Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.

5000 Years of Geometry

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Publisher : Birkhäuser
ISBN 13 : 3034808984
Total Pages : 638 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis 5000 Years of Geometry by : Christoph J. Scriba

Download or read book 5000 Years of Geometry written by Christoph J. Scriba and published by Birkhäuser. This book was released on 2015-04-22 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)

The Making of Modern Japan

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Publisher : Harvard University Press
ISBN 13 : 0674039106
Total Pages : 933 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis The Making of Modern Japan by : Marius B. Jansen

Download or read book The Making of Modern Japan written by Marius B. Jansen and published by Harvard University Press. This book was released on 2009-07-01 with total page 933 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics and Its History

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Publisher : Springer Nature
ISBN 13 : 3030551938
Total Pages : 400 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Mathematics and Its History by : John Stillwell

Download or read book Mathematics and Its History written by John Stillwell and published by Springer Nature. This book was released on 2020-11-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition

A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics

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Publisher : Birkhäuser
ISBN 13 : 3319120301
Total Pages : 427 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics by : David E. Rowe

Download or read book A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics written by David E. Rowe and published by Birkhäuser. This book was released on 2015-05-12 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Joseph W. Dauben, a leading authority on the history of mathematics in Europe, China, and North America, has played a pivotal role in promoting international scholarship over the last forty years. This Festschrift volume, showcasing recent historical research by leading experts on three continents, offers a global perspective on important themes in this field.

Two-Way Knowledge Transfer in Nineteenth Century China

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Publisher : Taylor & Francis
ISBN 13 : 1000786471
Total Pages : 252 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Two-Way Knowledge Transfer in Nineteenth Century China by : Ian Gow

Download or read book Two-Way Knowledge Transfer in Nineteenth Century China written by Ian Gow and published by Taylor & Francis. This book was released on 2022-11-18 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a biography of a remarkable Scottish missionary worker, Alexander Wylie, a classical nineteenth century artisan and autodidact with a gift and passion for languages and mathematics. He made significant contributions to knowledge transfer, both to and from China: in missionary work as a printer, playing an important role in the production and distribution of a new Chinese translation of the Bible; as a teacher, translating into Chinese key western texts in science and mathematics including Newton and Euclid and publishing the first Chinese textbooks on modern symbolic algebra, calculus and astronomy; and as a writer in English and an internationally recognised major sinologist, bringing to the West much knowledge of China and contributing extensively to the development of British sinology. The book concludes with an overall evaluation of Wylie’s contribution to knowledge transfer to and from China, noting the imbalance between the significant corpus of scholarly work specifically on Wylie by Chinese scholars in Chinese and the lack of academic studies by western scholars in English.

Private Academies of the Tokugawa Period

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Publisher : Princeton University Press
ISBN 13 : 1400856728
Total Pages : 302 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Private Academies of the Tokugawa Period by : Richard Rubinger

Download or read book Private Academies of the Tokugawa Period written by Richard Rubinger and published by Princeton University Press. This book was released on 2014-07-14 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Widening the focus of previous studies of Japanese education during the Tokugawa period, Richard Rubinger emphasizes the role of the shijuku, or private academies of advanced studies, in preparing Japan for its modern transformation. Originally published in 1982. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

History in Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 0306472201
Total Pages : 456 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis History in Mathematics Education by : John Fauvel

Download or read book History in Mathematics Education written by John Fauvel and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Chinese Astronomical Bureau, 1620–1850

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Publisher : Taylor & Francis
ISBN 13 : 1000728226
Total Pages : 254 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis The Chinese Astronomical Bureau, 1620–1850 by : Ping-Ying Chang

Download or read book The Chinese Astronomical Bureau, 1620–1850 written by Ping-Ying Chang and published by Taylor & Francis. This book was released on 2022-10-07 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new insight into one of the most interesting and long-lived institutions known to historians of science, the Chinese imperial Astronomical Bureau, which for two millennia observed, recorded, interpreted and predicted the movements of the celestial bodies. Utilising archival material, such as the résumés written for imperial audiences and personnel administration records, the book traces the rise and fall of more than thirty hereditary families serving at the Astronomical Bureau from the late Ming period to the end of the Qing dynasty. The book also presents an in-depth view into the organisation and function of the Bureau and succinctly charts the impacts of historical developments during the Ming and Qing periods, including the Regency of Prince Dorgon, the influence of the Jesuits, the relationship between the Kangxi and Yongzheng emperors and the He family and the failure of the bureau to predict correctly the solar eclipse of 1730. Presenting a social history of the Qing Astronomical Bureau from the perspective of hereditary astronomer families, this book will be of interest to scholars and students of Chinese Imperial history, the history of science and Asian history.

Catalan Numbers

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Publisher : Cambridge University Press
ISBN 13 : 1107075092
Total Pages : 225 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Catalan Numbers by : Richard P. Stanley

Download or read book Catalan Numbers written by Richard P. Stanley and published by Cambridge University Press. This book was released on 2015-03-30 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas. Following an introduction to the basic properties of Catalan numbers, the book presents 214 different kinds of objects counted by them in the form of exercises with solutions. The reader can try solving the exercises or simply browse through them. Some 68 additional exercises with prescribed difficulty levels present various properties of Catalan numbers and related numbers, such as Fuss-Catalan numbers, Motzkin numbers, Schröder numbers, Narayana numbers, super Catalan numbers, q-Catalan numbers and (q,t)-Catalan numbers. The book ends with a history of Catalan numbers by Igor Pak and a glossary of key terms. Whether your interest in mathematics is recreation or research, you will find plenty of fascinating and stimulating facts here.

Algebraic Number Theory for Beginners

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Publisher : Cambridge University Press
ISBN 13 : 1009019228
Total Pages : 244 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Algebraic Number Theory for Beginners by : John Stillwell

Download or read book Algebraic Number Theory for Beginners written by John Stillwell and published by Cambridge University Press. This book was released on 2022-07-31 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces algebraic number theory through the problem of generalizing 'unique prime factorization' from ordinary integers to more general domains. Solving polynomial equations in integers leads naturally to these domains, but unique prime factorization may be lost in the process. To restore it, we need Dedekind's concept of ideals. However, one still needs the supporting concepts of algebraic number field and algebraic integer, and the supporting theory of rings, vector spaces, and modules. It was left to Emmy Noether to encapsulate the properties of rings that make unique prime factorization possible, in what we now call Dedekind rings. The book develops the theory of these concepts, following their history, motivating each conceptual step by pointing to its origins, and focusing on the goal of unique prime factorization with a minimum of distraction or prerequisites. This makes a self-contained easy-to-read book, short enough for a one-semester course.