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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...
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.
The Mathematics of the Heavens and the Earth
The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; a...
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
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.
Mathematical Time Capsules
Mathematical Time Capsules offers teachers historical modules for immediate use in the mathematics classroom. Readers will find articles and activities from mathematics history that enhance the learning of topics covered in the undergraduate or secondary mathematics curricula. Each capsule presents at least one topic or a historical thread that can be used throughout a course. The capsules were written by experienced practitioners to provide teachers with historical background and classroom activities designed for immediate use in the classroom, along with further references and resources on the chapter subject. --Publisher description.
From the Banks of the Euphrates
Although Near Eastern languages and the history of the exact sciences are known for being obscure and deliberately arcane to general audiences, Alice Slotsky has paradoxically established her legacy by exposing these topics to a wider audience. As a visiting professor at Brown University, Slotsky has taught more students than any previous Assyriologist and successfully brought this discipline to a wider audience than previously imagined possible. This volume, with articles written by former students, as well as colleagues, pays tribute to her broad interests.
