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Title Seki, founder of modern mathematics in Japan : a commemoration on his tercentenary / Eberhard Knobloch, Hikosaburo Komatsu, Dun Liu, editors
Published Tokyo ; New York : Springer, ©2013

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Description 1 online resource
Series Springer proceedings in mathematics & statistics, 2194-1009 ; v. 39
Springer proceedings in mathematics & statistics ; v. 39.
Contents Part I: Contributed papers. Seki Takakazu, His Life and Bibliography / Hideyuki Majima -- Some Reflections on Main Lines of Mathematical Development / Wenlin Li -- Babylonian Number Theory and Trigonometric Functions: Trigonometric Table and Pythagorean Triples in the Mathematical Tablet Plimpton 322 / Kazuo Muroi -- Archimedes in China: Archimedes and His Works in Chinese Literature of the Ming and Qing Dynasties / Dun Liu -- The Nine Chapters on the Mathematical Procedures and Liu Hui's Mathematical Theory / Shuchun Guo -- On the Alternative Algorithm of the 7th Problem in the Sea Island Mathematical Canon / Hideki Kawahara -- A Comparative Study on Traditional Mathematics of Korea and Japan / Yong-Woon Kim -- The Axes of Mathematical Methodology in the Song and Yuan Dynasties: The Construction of Mathematical Models / Shirong Guo -- The Suanxue Qimeng and Its Influence on Japanese Mathematics / Mitsuo Morimoto -- Power Series Expansions in India Around A.D. 1400 / Setsuro Ikeyama -- An Early Japanese Work on Chinese Mathematics in Vietnam: Yoshio Mikami's Study of the Vietnamese Mathematical Treatise Chi Minh Toan Phap / Alexei Volkov -- The Jinkōki of Yoshida Mitsuyoshi / Ken'ichi Sato -- Résumé of Works on Mathematics of Seki Takakazu / Osamu Takenouchi -- Seki Takakazu's Measuring Process of the Volume of Solids Derived from Spheres / Toshio Sugimoto -- Seki Takakazu's Method on the Remainder Problem / Sumie Tanabe -- Seki Takakazu's Method of Calculating the Volume of Solids of Revolution and His Mathematical Object / Fumiaki Ozaki -- Leibniz's Theory of Elimination and Determinants / Eberhard Knobloch -- Algebra, Elimination and the Complete Book of Mathematics / Hikosaburo Komatsu -- Some Questions and Observations Around the Mathematics of Seki Takakazu / Silke Wimmer-Zagier, Don Zagier -- Ming Antu and His Power Series Expansions / Jianjin Luo -- Standing on the Shoulders of the Giant Influence of Seki Takakazu on Takebe Katahiro's Mathematical Achievements / Zelin Xu, Zhou Chang -- Takebe Katahiro's Algorithms for Finding the Circular Arc Length / Mitsuo Morimoto -- The Method of Successive Divisions by Takebe Katahiro and Nakane Genkei / Tamotsu Tsuchikura -- Manuscripts in the Edo Period: Preliminary Study on Manuscripts Written by Seki Takakazu / Tomomi Nishida -- Influence of European Mathematics on Pre-Meiji Japan / Tatsuhiko Kobayashi -- On Contemporary Mathematics in Vietnam / Ha Huy Khoai
Part II: Supplements. Notes on Complete Book of Mathematics Vol. 4: Three Essentials / Mitsuo Morimoto -- Complete Book of Mathematics Vol. 4: Three Essentials, by Seki Takakazu, Takebe Kataakira and Takebe Katahiro, collated by Fumiaki Ozaki and Hikosaburo Komatsu / Takakazu Seki, Kataakira Takebe, Katahiro Takebe -- Seki's Trilogy: Methods of Solving Explicit Problems, Methods of Solving Implicit Problems and Methods of Solving Concealed Problems / Hikosaburo Komatsu -- Methods of Solving Explicit Problems, by Seki Takakazu, collated by Hikosaburo Komatsu / Takakazu Seki -- Methods of Solving Implicit Problems, by Seki Takakazu, collated by Hikosaburo Komatsu / Takakazu Seki -- Methods of Solving Concealed Problems, by Seki Takakazu, collated by Hikosaburo Komatsu / Takakazu Seki -- Notes on Complete Book of Mathematics Vol. 10: Geometry / Hikosaburo Komatsu -- Complete Book of Mathematics Vol. 10: Geometry, by Seki Takakazu, Takebe Kataakira and Takebe Katahiro, collated by Hikosaburo Komatsu / Takakazu Seki, Kataakira Takebe, Katahiro Takebe -- Seki's Theory of Elimination as Compared with the Others' / Takefumi Goto, Hikosaburo Komatsu
Summary 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
Analysis Mathematics
Algebra
Geometry
History of Mathematical Sciences
wiskunde
geschiedenis
history
meetkunde
Mathematics (General)
Wiskunde (algemeen)
Bibliography Includes bibliographical references and index
Notes English
In Springer eBooks
Subject Seki, Takakazu, approximately 1642-1708 -- Congresses
SUBJECT Seki, Takakazu, approximately 1642-1708 fast
Subject Mathematics -- Japan -- History -- Congresses
Mathematicians -- Japan -- History -- Congresses
Mathematics.
Algebra.
Geometry.
Mathematics
algebra.
geometry.
MATHEMATICS -- History & Philosophy.
Matemáticas -- Japón -- Historia
Matemáticos -- Japón -- Historia
Álgebra
Geometría
Mathematicians
Mathematics
J7020 -- Japan: Natural sciences and technology -- mathematics.
Japan
Genre/Form Conference papers and proceedings
History
Form Electronic book
Author Knobloch, Eberhard.
Komatsu, Hikosaburō, 1935-
Liu, Dun
International Conference on the History of Mathematics in Memory of Seki Takakazu (1642?-1708) (2008 : Tokyo, Japan)
ISBN 9784431542735
4431542736
4431542728
9784431542728