Download or read book A History of Chinese Mathematics written by Jean-Claude Martzloff and published by Springer. This book was released on 2007-08-17 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is made up of two parts, the first devoted to general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. The book is uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of sophistication by both sinologists and mathematicians alike.

Download or read book Chinese Mathematics in the Thirteenth Century written by Ulrich Libbrecht and published by Courier Corporation. This book was released on 2005-01-01 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the life and work of the thirteenth-century mathematician Ch'in, this fascinating book examines a range of mathematical issues that reflect Chinese life of a millennium ago. Its first part consists of four closely related studies of Ch'in and his work. The first study brings together what is known of the mathematician's life and of the history of his only extant work, the Shu-shu chiu-chang. Subsequent studies examine the entire range of mathematical techniques and problems found within Ch'in's book. The core of this book consists of an in-depth study of what modern mathematicians still refer to as the Chinese remainder theorem for the solution of indeterminate equations of the first degree. This was Ch'in's most original contribution to mathematics--so original that no one could correctly explain Ch'in's procedure until the early nineteenth century. This volume's concluding study unites information on artisanal, economic, administrative, and military affairs dispersed throughout Ch'in's writings, providing rare insights into thirteenth-century China.

Download or read book Chinese Mathematics written by Yan Li and published by Oxford University Press, USA. This book was released on 1987 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a record of mathematical developments in China over a period of more than 2000 years. It goes into greater detail than ever previously available in English. Because the emphasis in Chinese mathematics is on algorithms rather than proofs, readers will find results such as Bezout's theorem and Horner's method appearing in a very different context from the familiar tradition of Euclidean deductive geometry. The Chinese always preferred algebraic methods, and by the 13th century A.D. they were the best algebraists in the world. The original Chinese point of view is retained by the translators. They have supplemented the text with short explanatory comments and references to all relevant reference sources available in the West. An extensive bibliography is included, creating a work which will appeal to general readers interested in Chinese history as well as historians of mathematics.

Download or read book The Chinese Roots of Linear Algebra written by Roger Hart and published by JHU Press. This book was released on 2011-01-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A monumental accomplishment in the history of non-Western mathematics, The Chinese Roots of Linear Algebra explains the fundamentally visual way Chinese mathematicians understood and solved mathematical problems. It argues convincingly that what the West "discovered" in the sixteenth and seventeenth centuries had already been known to the Chinese for 1,000 years. Accomplished historian and Chinese-language scholar Roger Hart examines Nine Chapters of Mathematical Arts—the classic ancient Chinese mathematics text—and the arcane art of fangcheng, one of the most significant branches of mathematics in Imperial China. Practiced between the first and seventeenth centuries by anonymous and most likely illiterate adepts, fangcheng involves manipulating counting rods on a counting board. It is essentially equivalent to the solution of systems of N equations in N unknowns in modern algebra, and its practice, Hart reveals, was visual and algorithmic. Fangcheng practitioners viewed problems in two dimensions as an array of numbers across counting boards. By "cross multiplying" these, they derived solutions of systems of linear equations that are not found in ancient Greek or early European mathematics. Doing so within a column equates to Gaussian elimination, while the same operation among individual entries produces determinantal-style solutions. Mathematicians and historians of mathematics and science will find in The Chinese Roots of Linear Algebra new ways to conceptualize the intellectual development of linear algebra.

Download or read book Reviving Ancient Chinese Mathematics written by Jiri Hudecek and published by Routledge. This book was released on 2014-07-25 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twentieth-century China has been caught between a desire to increase its wealth and power in line with other advanced nations, which, by implication, means copying their institutions, practices and values, whilst simultaneously seeking to preserve China’s independence and historically formed identity. Over time, Chinese philosophers, writers, artists and politicians have all sought to reconcile these goals and this book shows how this search for a Chinese way penetrated even the most central, least contested area of modernity: science. Reviving Ancient Chinese Mathematics is a study of the life of one of modern China’s most admired scientific figures, the mathematician Wu Wen-Tsun. Negotiating the conflict between progress and tradition, he found a path that not only ensured his political and personal survival, but which also brought him renown as a mathematician of international status who claimed that he stood outside the dominant western tradition of mathematics. Wu Wen-Tsun’s story highlights crucial developments and contradictions in twentieth -century China, the significance of which extends far beyond the field of mathematics. On one hand lies the appeal of radical scientific modernity, "mechanisation" in all its forms, and competitiveness within the international scientific community. On the other is an anxiety to preserve national traditions and make them part of the modernisation project. Moreover, Wu’s intellectual development also reflects the complex relationship between science and Maoist ideology, because his turn to history was powered by his internalisation of certain aspects of Maoist ideology, including its utilitarian philosophy of science. This book traces how Wu managed to combine political success and international scientific eminence, a story that has wider implications for a new century of increasing Chinese activity in the sciences. As such, it will be of great interest to students and scholars of Chinese history, the history of science and the history and philosophy of mathematics.

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:

Download or read book The Mathematics of Egypt Mesopotamia China India and Islam written by Victor J. Katz and published by Princeton University Press. This book was released on 2021-08-10 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors—Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)—are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

Download or read book Astronomy and Mathematics in Ancient China written by Christopher Cullen and published by Cambridge University Press. This book was released on 2007-01-18 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a study and translation of the Zhou bi suan jing, a Chinese work on astronomy and mathematics that reached its final form around the first century AD. The author provides the first easily accessible introduction to the developing mathematical and observational practices of ancient Chinese astronomers and shows how the generation and validation of knowledge about the heavens in Han dynasty China related closely to developments in statecraft and politics. This book will be fascinating reading for scholars in the history of science, Chinese history, and astronomy.

Download or read book The Su n Sh Sh written by Christopher Cullen and published by . This book was released on 2004 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Sea Island Mathematical Manual Surveying and Mathematics in Ancient China written by and published by Penn State Press. This book was released on 1992 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: An annotated translation and analysis of the Haidao Suanjing, a Chinese mathematical classic composed by Liu Hui in A.D. 263. All ancient societies practiced the art of land surveying. In fact, tradition tells us that geometry--land measure--had its origins in such surveying. However, an examination of early Western literature reveals few records concerning the practical uses of geometry and mathematics in the tasks of surveying. Recent research into the content and origins of early Chinese mathematics is beginning to reveal the existence of strong traditions and interest in the methodologies and applications of land survey. It is from these Chinese sources that a clearer picture of how people adapted mathematics and geometry to the needs of surveying emerges. The Haidao Suanjing, or Sea Island Mathematical Manual, is one of the "Ten Classics" of traditional Chinese mathematics, and its contents demonstrate the high standards of theoretical and mathematical sophistication present in early Chinese surveying theory. The Haidao established the mathematical procedures for much of East Asian surveying activity for the next one thousand years. The contents of the Haidao also testify to the ability of the Chinese to systematize mathematics and hint at the use of proof in Chinese mathematics, a concept usually associated with Greek mathematical thought. Frank Swetz provides an analysis of the Haidao's surveying problems. In particular, he details surveying techniques and undertakes a mathematical exposition of the Chinese chong cha solution procedures. The Haidao is a testimony to the ingenuity and skill of China's early surveyors and its author, Liu Hui. This study complements and extends the findings of Swetz's previous book, Was Pythagoras Chinese? An Examination of Right Triangle Theory in Ancient China

Download or read book How Chinese Teach Mathematics written by Lianghuo Fan and published by World Scientific. This book was released on 2015-03-13 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world's leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the "teaching" side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book. The first section introduces readers to a historical and contemporary perspective, respectively, on traditional mathematical teaching in ancient China and on how modern Chinese mathematics teachers teach and pursue their pre-service training and in-service professional development. The second section presents studies investigating a wide range of issues at both the macro- and micro-levels on how Chinese mathematics teachers teach mathematics. The third section focuses on Chinese mathematics teachers, investigating issues about their knowledge, belief, teacher training and professional development. Like its predecessor, How Chinese Learn Mathematics: Perspectives from Insiders, this book is a must for educational researchers, practitioners, and policy-makers who are interested in knowing more about mathematics teaching, teachers, teacher education and professional development concerning Chinese teachers and learners. Contents:Focusing on Chinese Mathematics Teaching, Teachers and Teacher Education: An IntroductionHistorical and Contemporary Perspectives:The Wisdom of Traditional Mathematical Teaching in China (DAI Qin and CHEUNG Ka Luen) How Chinese Teachers Teach Mathematics and Pursue Professional Development: Perspectives from ContemporaryInternational Research (FAN Lianghuo, MIAO Zhenzhen and MOK Ah Chee Ida) Understanding the Chinese Ways of Teaching Mathematics: Mathematics Teaching in a Chinese Classroom: A Hybrid-Model Analysis of Opportunities for Students' Learning (HUANG Rongjin, MILLER L Diane and TZUR Ron)Achieving Coherence in the Mathematics Classroom: Toward a Framework for Examining Instructional Coherence (WANG Tao, CAI Jinfa and HWANG Stephen) Elementary School Teachers' Instruction in Measurement: Cases of Classroom Teaching of Spatial Measurement in Taiwan (HUANG Hsin-Mei E) Pedagogical and Curriculum Potentials of Homework: A Case Study about Geometric Proofs in Shanghai (FANG Yanping) Teaching Calculation of Time Intervals: Comparing Mathematics Competence of Students in Macau, Hong Kong and the Netherlands (LI Titus Siu Pang) Teaching Number Sense via Interactive Multimedia in a Primary School in Taiwan (YANG Der-Ching, CHEN Pei-Chieh, TSAI Yi Fang and HSIEH Tien-Yu)Teaching Geometrical Theorems in Grade 8 Using the “Shen Tou” Method: A Case Study in Shanghai (DING Liping, JONES Keith and ZHANG Dianzhou) Implementation of Objectives Based on the Curriculum Standards: A Case of Teaching Using Letter to Represent Number at a Chinese Primary School in Chinese Mainland (HUANG Xingfeng, YANG Jinglei and LI Shiqi) Chinese Project-based Classroom Practices: Promoting Students' Engagement in Mathematical Activities (XU Binyan and ZHU Guangtian)A Large-Scale Video Survey on Taiwanese Fourth-Grade Classrooms of Mathematical Teaching Behaviors (LEE Yuan-Shun and LIN Fou-Lai) Features of Exemplary Lessons under the Curriculum Reform in Chinese Mainland: A Study of Thirteen Elementary Mathematics Lessons (MA Yunpeng and ZHAO Dongchen) Qingpu Mathematics Teaching Reform and Its Impact on Student Learning (GU Lingyuan, YANG Yudong and HE Zhenzhen)Chinese Mathematics Teachers, Teacher Education and Teacher Professional Development:Beliefs, Knowledge and Teaching: A Series of Studies about Chinese Mathematics Teachers (ZHANG Qiaoping and WONG Ngai-Ying)What Makes a Master Teacher? A Study of Thirty-One Mathematics Master Teachers in Chinese Mainland (FAN Lianghuo, ZHU Yan and TANG Caibin)Chinese Teachers' Mathematics Beliefs in the Context of Curriculum Reform (CHEN Qian and LEUNG Koon Shing Frederick) "Same Content Different Designs" Activities and Their Impact on Prospective Mathematics Teachers' Professional Development: The Case of Nadine (YUAN Zhiqiang and LI Xuhui)Exploration into Chinese Mathematics Teachers' Perceptions of Concept Map (JIN Haiyue, LU Jun and ZHONG Zhihua) Assisting Teachers in Maintaining High-Level Cognitive Demands of Mathematical Tasks in Classroom Practices: A Training Course in Taiwan (LIN Pi-Jen and TSAI Wen-Huan) The Relationships between Religious Beliefs and Teaching among Mathematics Teachers in Chinese Mainland, Taiwan and Hong Kong (LEU Yuh-Chyn, CHAN Yip-Cheung and WONG Ngai-Ying)Epilogue: Why the Interest in the Chinese Learner? (FAN Lianghuo, WONG Ngai-Ying, CAI Jinfa and LI Shiqi) Readership: Researchers, educators, lecturers, and graduate students in mathematics and education. Keywords:Mathematics;Mathematics Teaching and Learning;Mathematics Education;Chinese Education;China Study;Asian EducationKey Features:Concerted research effort. The book is well-planned, structured, and organizedUnique treatment of the topic: comprehensive and in-depth coverage on teaching, teacher, and teacher education for a wide range of international readersProminent authors and contributors: Many of them are the world's leading scholars or most active researchers

Download or read book Was Pythagoras Chinese written by Frank J. Swetz and published by Penn State Press. This book was released on 1977 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book How Chinese Learn Mathematics written by Lianghuo Fan and published by World Scientific. This book was released on 2004 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has been written by an international group of very activeresearchers and scholars who have a passion for the study of Chinesemathematics education. It aims to provide readers with a comprehensiveand updated picture of the teaching and learning of mathematicsinvolving Chinese students from various perspectives, including theways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and socialenvironment on Chinese students'' mathematics learning, and thestrengths and weaknesses of the ways in which Chinese learnmathematics

Download or read book A History of Chinese Science and Technology written by Yongxiang Lu and published by Springer. This book was released on 2014-10-14 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Chinese Science and Technology (Volumes 1, 2 & 3) presents 44 individual lectures, beginning with Ancient Chinese Science and Technology in the Process of Human Civilizations and an Overview of Chinese Science and Technology, and continuing with in-depth discussions of several issues in the History of Science and the Needham Puzzle, interspersed with topics on Astronomy, Arithmetic, Agriculture and Medicine, The Four Great Inventions, and various technological areas closely related to clothing, food, shelter and transportation. This book is the most authoritative work on the history of Chinese Science and Technology. It is the Winner of the China Book Award, the Shanghai Book Award (1st prize), and the Classical China International Publishing Project (GAPP, General Administration of Press and Publication of China) and offers an essential resource for academic researchers and non-experts alike. It originated with a series of 44 lectures presented to top Chinese leaders, which received very positive feedback. Written by top Chinese scholars in their respective fields from the Institute for the History of Natural Sciences, Chinese Academy of Sciences and many other respected Chinese organizations, the book is intended for scientists, researchers and postgraduate students working in the history of science, philosophy of science and technology, and related disciplines. Yongxiang Lu is a professor, former president and member of the Chinese Academy of Sciences (CAS) and Chinese Academy of Engineering (CAE), and Vice Chairman of the National Congress of China.

Download or read book Empty And The Full The Li Ye And The Way Of Mathematics Geometrical Procedures By Section Of Areas written by Charlotte-v Pollet and published by World Scientific. This book was released on 2020-03-20 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: During Song (960 to 1279) and Yuan (1279 to 1368) dynasties, China experienced a peak in high-level algebraic investigation through the works of famous mathematicians such as Qin Jiushao, Zhu Shijie, Yang Hui and Li Ye. Among these is Li Ye's short treatise on a curious ancient geometrical procedure: The Development of Pieces of Areas According to the Collection Augmenting the Ancient Knowledge (Yigu yanduan). The aim of this monography is to contradict traditional scholarship which has long discredited the importance of Li Ye's treatise, considering it a mere popular handbook. The author aims to show that Li Ye's work actually epitomizes a completely new aspect of ancient Chinese mathematics: a crossroad between algebra, geometry, and combinatorics containing elements reminiscent of the Book of Changes (Yi Jing). As well as Li Ye used field measurement as pretext for investigations on quadratic equations and Changes, the present study uses Li Ye's small treatise as pretext for philosophical investigations on link between mathematics and their history. The real topic of the study is the exploration of another expression of proof and generality in Chinese mathematics. This book not only completes the edition of Li Ye's works and presents new features of Chinese mathematics, but also fills a gap in the translation of Chinese mathematics treatises.It is the first book entirely dedicated to the diagrammatic practice of algebra in the history of Chinese mathematics. This practice is more important than expected. While being a monograph, the book is short and detailed enough to be used by students in class. It can also be used as an entry door to the research field of history of Chinese mathematics.

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.

Download or read book Classics of Mathematics written by Ronald Calinger and published by Pearson. This book was released on 1995 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appropriate for undergraduate and select graduate courses in the history of mathematics, and in the history of science. This edited volume of readings contains more than 130 selections from eminent mathematicians from A `h-mose' to Hilbert and Noether. The chapter introductions comprise a concise history of mathematics based on critical textual analysis and the latest scholarship. Each reading is preceded by a substantial biography of its author.