Astronomy and Calendars – The Other Chinese Mathematics
Astronomy and Calendars – The Other Chinese Mathematics

Author: Jean-Claude Martzloff

Publisher: Springer

Published: 2016-09-01

Total Pages: 485

ISBN-13: 3662497182

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Presented from the viewpoint of the history of mathematics, this book explores both epistemological aspects of Chinese traditional mathematical astronomy and lunisolar calendrical calculations. The following issues are addressed: (1) connections with non-Chinese cultural areas; (2) the possibility or impossibility of using mathematics to predict astronomical phenomena, a question that was constantly raised by the Chinese from antiquity through medieval times; (3) the modes of representation of numbers, and in particular the zero, found in the context of Chinese calendrical calculations; and (4) a detailed analysis of lunisolar calendrical calculations. Fully worked-out examples and comparisons between the results of calculations and the content of Chinese historical calendars from various periods are provided. Traditional Chinese calendrical and mathematical astronomy consists of permanently reformed mathematical procedures designed to predict, but not explain, phenomena pertaining to astronomy and related areas. Yet, despite appearances, models of the mathematical techniques hidden behind this voluminous corpus reveal that they depend on a limited number of clear-cut mathematical structures. Although only a small fraction of these techniques have been fully studied, what is known surprisingly broadens our knowledge of the history of Chinese mathematics. Sinologists interested in the history of Chinese science, and anyone interested in the history of Chinese mathematics, the Chinese calendar, and the history of Chinese mathematical astronomy from its origin (104 BC) to its European reform (AD 1644) will find this book very useful. The present English language edition is a fully revised and updated version of the French original. Even though this is a research monograph in sinology, no particular sinological background is required, although a basic understanding of ‘concrete mathematics’ is needed. From the reviews of the French edition: This is a demanding, rigorous book to read ... worth the concentrated study it requires. The rewards are not only in the details but in the general overview that ...[it] provides. Joseph Dauben, EASTM, 2011 ...first Work in a Western language to turn to for anyone interested in the details of Chinese calendrical computations. Benno Van Dalen, ISIS, 2011 Martzloff’s careful scholarship and his overall look at the calendar beyond astronomical calculations, ..., make this book a most valuable contributions to a field of increasing interest. U. D’Ambrosio, Mathematical Reviews, 2013

Sanskrit Astronomical Tables
Sanskrit Astronomical Tables

Author: Clemency Montelle

Publisher: Springer

Published: 2019-03-07

Total Pages: 311

ISBN-13: 3319970372

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This groundbreaking volume provides an up-to-date, accessible guide to Sanskrit astronomical tables and their analysis. It begins with an overview of Indian mathematical astronomy and its literature, including table texts, in the context of history of pre-modern astronomy. It then discusses the primary mathematical astronomy content of table texts and the attempted taxonomy of this genre before diving into the broad outlines of their representation in the Sanskrit scientific manuscript corpus. Finally, the authors survey the major categories of individual tables compiled in these texts, complete with brief analyses of some of the methods for constructing and using them, and then chronicle the evolution of the table-text genre and the impacts of its changing role on the discipline of Sanskrit jyotiṣa. There are also three appendices: one inventories all the identified individual works in the genre currently known to the authors; one provides reference information about the details of all the notational, calendric, astronomical, and other classification systems invoked in the study; and one serves as a glossary of the relevant Sanskrit terms.

Jesuit Astrology
Jesuit Astrology

Author: Luís Campos Ribeiro

Publisher: BRILL

Published: 2023-06-12

Total Pages: 704

ISBN-13: 9004548971

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Connections between the Society of Jesus and astrology used to appear as unexpected at best. Astrology was never viewed favourably by the Church, especially in early modern times, and since Jesuits were strong defenders of Catholic orthodoxy, most historians assumed that their religious fervour would be matched by an equally strong rejection of astrology. This groundbreaking and compelling study brings to light new Jesuit scientific texts revealing a much more positive, practical, and nuanced attitude. What emerges forcefully is a totally new perspective into early modern Jesuit culture, science, and education, highlighting the element that has been long overlooked: astrology.

Darts on History of Mathematics Volume Ii
Darts on History of Mathematics Volume Ii

Author: Satish C. Bhatnagar

Publisher: Balboa Press

Published: 2023-02-16

Total Pages: 317

ISBN-13:

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What is new in the book? Apart from its format, in brief, it has thought-provoking angles of observation and deductive conclusions on many topics, which may look ordinary or rare. Who will benefit from the book? Any lay person with an historical bent of mind on mathematical topics stands to gain from it. Both undergraduate and graduate students in history of mathematics courses would enjoy it. All reflections are independent—they are excellent bedtime reading too.

Nine Chapters on Mathematical Modernity
Nine Chapters on Mathematical Modernity

Author: Andrea Bréard

Publisher: Springer

Published: 2019-06-25

Total Pages: 291

ISBN-13: 3319936956

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The book addresses for the first time the dynamics associated with the modernization of mathematics in China from the nineteenth to the mid-twentieth century from a transcultural global historical perspective. Rather than depict the transformations of mathematical knowledge in terms of a process of westernization, the book analyzes the complex interactions between different scientific communities and the ways in which the past, modernity, language, and mathematics were negotiated in a global context. In each chapter, Andrea Bréard provides vivid portraits of a series of go-betweens (such as translators, educators, or state statisticians) based on a vast array of translated primary sources hitherto unavailable to a non-Chinese readership. They not only illustrate how Chinese scholars mediated between new mathematical objects and discursive modes, but also how they instrumentalized their autochthonous scientific roots in specific political and intellectual contexts. While sometimes technical in style, the book addresses all readers who are interested in the global and cultural history of science and the complexities involved in the making of universal mathematics. “While the pursuit of modernity is in the title, entanglement is of as much interest. Using the famous ‘Nine Chapters’ as a framework, Bréard considers a wide range of that entanglement from divination to data management. Bréard’s analysis and thought-provoking insights show once again how much we can learn when two cultures intersect. A fascinating read!” (John Day, Boston University).

A History of Chinese Mathematics
A History of Chinese Mathematics

Author: Jean-Claude Martzloff

Publisher: Springer

Published: 2007-08-17

Total Pages: 491

ISBN-13: 3540337830

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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.

Chinese History
Chinese History

Author: Endymion Porter Wilkinson

Publisher: Harvard Univ Asia Center

Published: 2000

Total Pages: 1220

ISBN-13: 9780674002494

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Endymion Wilkinson's bestselling manual of Chinese history has long been an indispensable guide to all those interested in the civilization and history of China. In this latest edition, now in a bigger format, its scope has been dramatically enlarged by the addition of one million words of new text. Twelve years in the making, the new manual introduces students to different types of transmitted, excavated, and artifactual sources from prehistory to the twentieth century. It also examines the context in which the sources were produced, preserved, and received, the problems of research and interpretation associated with them, and the best, most up-to-date secondary works. Because the writing of history has always played a central role in Chinese politics and culture, special attention is devoted to the strengths and weaknesses of Chinese historiography.

Heavenly Numbers
Heavenly Numbers

Author: Christopher Cullen

Publisher: Oxford University Press

Published: 2017

Total Pages: 441

ISBN-13: 0198733119

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This book is a history of the development of mathematical astronomy in China, from the late third century BCE, to the early 3rd century CE - a period often referred to as 'early imperial China'. It narrates the changes in ways of understanding the movements of the heavens and the heavenly bodies that took place during those four and a half centuries, and tells the stories of the institutions and individuals involved in those changes. It gives clear explanations of technical practice in observation, instrumentation, and calculation, and the steady accumulation of data over many years - but it centres on the activity of the individual human beings who observed the heavens, recorded what they saw, and made calculations to analyse and eventually make predictions about the motions of the celestial bodies. It is these individuals, their observations, their calculations, and the words they left to us that provide the narrative thread that runs through this work. Throughout the book, the author gives clear translations of original material that allow the reader direct access to what the people in this book said about themselves and what they tried to do.

The Richness of the History of Mathematics
The Richness of the History of Mathematics

Author: Karine Chemla

Publisher: Springer Nature

Published: 2023-11-27

Total Pages: 702

ISBN-13: 3031408551

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This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.