Bījagaṇita
Bījagaṇita

Author: Brahmagupta

Publisher:

Published: 2005

Total Pages: 480

ISBN-13:

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Algebra, with Arithmetic and Mensuration, from the Sanskrit of Brahmagupta and Bhaskara was one of the earliest fruits of the European encounter with the scientific heritage of India. Colebrooke's work first appeared in 1817 and remains useful even today. This work contains English translations of two classics of Indian mathematics, namely Bhaskara's Lilavati and Bijaganita. These are supplemented by the twelfth and eighteenth chapters of Brahmagupta's Brahmasphutasiddhanta. These translations are enriched by copious extracts from various commentaries by Gangadhara, Suryadasa, Ganesa and Rama-krsna on the Lilavati; by Krsna Daivajna and Ramakrsna on the Bijaganita. He also made use of the Persian translations of the mathematical treatises. 'The preface seeks to situate Indian Algebra in the context of development in other parts of the world.

Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bháscara
Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bháscara

Author: Brahmagupta

Publisher: Alpha Edition

Published: 2020-07-27

Total Pages: 472

ISBN-13: 9789354042591

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This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.

Studies in the History of Indian Mathematics
Studies in the History of Indian Mathematics

Author: C. S. Seshadri

Publisher: Springer

Published: 2010-08-15

Total Pages: 395

ISBN-13: 9386279495

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This volume is the outcome of a seminar on the history of mathematics held at the Chennai Mathematical Institute during January-February 2008 and contains articles based on the talks of distinguished scholars both from the West and from India. The topics covered include: (1) geometry in the oulvasatras; (2) the origins of zero (which can be traced to ideas of lopa in Paoini's grammar); (3) combinatorial methods in Indian music (which were developed in the context of prosody and subsequently applied to the study of tonal and rhythmic patterns in music); (4) a cross-cultural view of the development of negative numbers (from Brahmagupta (c. 628 CE) to John Wallis (1685 CE); (5) Kunnaka, Bhavana and Cakravala (the techniques developed by Indian mathematicians for the solution of indeterminate equations); (6) the development of calculus in India (covering the millennium-long history of discoveries culminating in the work of the Kerala school giving a complete analysis of the basic calculus of polynomial and trigonometrical functions); (7) recursive methods in Indian mathematics (going back to Paoini's grammar and culminating in the recursive proofs found in the Malayalam text Yuktibhaua (1530 CE)); and (8) planetary and lunar models developed by the Kerala School of Astronomy. The articles in this volume cover a substantial portion of the history of Indian mathematics and astronomy. This book will serve the dual purpose of bringing to the international community a better perspective of the mathematical heritage of India and conveying the message that much work remains to be done, namely the study of many unexplored manuscripts still available in libraries in India and abroad.

Geometry and Algebra in Ancient Civilizations
Geometry and Algebra in Ancient Civilizations

Author: Bartel L. van der Waerden

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 236

ISBN-13: 3642617794

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Originally, my intention was to write a "History of Algebra", in two or three volumes. In preparing the first volume I saw that in ancient civiliza tions geometry and algebra cannot well be separated: more and more sec tions on ancient geometry were added. Hence the new title of the book: "Geometry and Algebra in Ancient Civilizations". A subsequent volume on the history of modem algebra is in preparation. It will deal mainly with field theory, Galois theory and theory of groups. I want to express my deeply felt gratitude to all those who helped me in shaping this volume. In particular, I want to thank Donald Blackmore Wagner (Berkeley) who put at my disposal his English translation of the most interesting parts of the Chinese "Nine Chapters of the Art of Arith metic" and of Liu Hui's commentary to this classic, and also Jacques Se siano (Geneva), who kindly allowed me to use his translation of the re cently discovered Arabic text of four books of Diophantos not extant in Greek. Warm thanks are also due to Wyllis Bandler (Colchester, England) who read my English text very carefully and suggested several improve ments, and to Annemarie Fellmann (Frankfurt) and Erwin Neuenschwan der (Zurich) who helped me in correcting the proof sheets. Miss Fellmann also typed the manuscript and drew the figures. I also want to thank the editorial staff and production department of Springer-Verlag for their nice cooperation.