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Mathematics in India
Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of disc...
Sanskrit Astronomical Tables
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.
The Mathematics of Egypt, Mesopotamia, China, India, and Islam
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 (...
Studies in the History of the Exact Sciences in Honour of David Pingree
This collection of essays reflects the wide range of David Pingree's expertise in the scientific texts (above all, concerning astronomy and astrology) of Ancient Mesopotamia, Greece, India, Persia, and the medieval Arabic, Hebrew and Latin traditions. Both theoretical aspects and the practical applications of the exact sciences-in time keeping, prediction of the future, and the operation of magic-are dealt with. The book includes several critical editions and translations of hitherto unknown or understudied texts, and a particular emphasis is on the diffusion of scientific learning from one culture to another, and through time. Above all, the essays show the variety and sophistication of the exact sciences in non-Western societies in pre-modern times.
Leonhard Euler
The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment's most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world's best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler's life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler's philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler's innovations in probab...
Anachronisms in the History of Mathematics
Discover essays by leading scholars on the history of mathematics from ancient to modern times in European and non-European cultures.
Aspects of Manuscript Culture in South India
This volume, the outcome of a seminar organized at the International Institute for Asian Studies, Leiden, marks an important advancement in the study of South Indian Sanskrit manuscripts which are predominantly on palm leaf and rarely older than three to four centuries. Nevertheless, they continued a manuscript culture for around two millennia and had a profound impact on traditions of knowledge and culture. After an introductory essay (by J.E.M. Houben and S. Rath) addressing theoretical and historical issues of text transmission in manuscripts and in India’s remarkably strong oral memory culture, it contains twelve contributions dealing with South Indian manuscript collections in India and Europe (mainly of Vedic and Sanskrit texts) and with problems related to the scripts, the dating of manuscripts and India's literary and intellectual history. Contributors include: G. Colas, A.A. Esposito, M. Fujii, C. Galewicz, J.E.M. Houben, H. Moser, P. Perumal, K. Plofker, S. Rath, S.R. Sarma, D. Wujastyk, K.G. Zysk
Mathematics and the Divine
Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isn't the Divine that which is immeasurable ?The present book shows that the domains of mathematics and the Divine, which may seem so radically separated, have throughout history and across cultures, proved to be intimately related. Religious activities such as the building of temples, the telling of ritual stories or the drawing of enigmatic figures all display distinct mathematical features. Majo...
The Sanskrit Astronomical Table Text Brahmatulyasāraṇī
"The 17th-century Brahmatulyasāraṇīis a rich repository of information about Indian mathematical astronomy and its genres of scientific writing in Sanskrit. This painstaking critical edition, translation, and technical analysis of the work includes detailed technical background about its content and relation to the seminal 12th-century astronomical handbook Karaṇakutūhala. This book explores important contextual information about the role and study of numerical tables in pre-modern astronomy, as well as the many challenges arising from critically editing numerical data in the Indian astral sciences"--
Bhāskara-prabhā
This book covers the works of Bhāskara, in particular, his monumental treatise on astronomy, the Siddhāntaśiromaṇi, his astronomical handbook, the Karaṇakutūhala, and his two mathematical treatises, the Līlavatī and the Bījagaṇita, on arithmetic and algebra, respectively. It is a collection of selected papers presented at Bhāskara 900, an international conference commemorate the 900th birth anniversary of the great Indian mathematician Bhāskarācārya. Bhāskara-prabhā, the radiance of Bhāskara, presents the Indian mathematical tradition and the place of Bhāskara in it. The aim of this book is to instill a sense of pride in younger generations of one of their most celebrated thinkers, by sketching some details of his mathematical achievements and capturing their imagination through his poetic flair. It is intended to raise a greater awareness among students and teachers of India’s rich mathematical heritage.
