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Author: B. Datta
Publisher:
ISBN: 9788170204602
Category :
Languages : en
Pages :
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Book Description
Author: B. Datta
Publisher:
ISBN: 9788170204602
Category :
Languages : en
Pages :
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Book Description
Author: T. A. Sarasvati Amma
Publisher: Motilal Banarsidass Publ.
ISBN: 9788120813441
Category : Geometry
Languages : en
Pages : 304
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Book Description
This book is a geometrical survey of the Sanskrit and Prakrt scientific and quasi-scientific literature of India, beginning with the Vedic literature and ending with the early part of the 17th century. It deals in detail with the Sulbasutras in the Vedic literature, with the mathematical parts of Jaina Canonical works and of the Hindu Siddhantas and with the contributions to geometry made by the astronomer mathematicians Aryabhata I & II, Sripati, Bhaskara I & II, Sangamagrama Madhava, Paramesvara, Nilakantha, his disciples and a host of others. The works of the mathematicians Mahavira, Sridhara and Narayana Pandita and the Bakshali Manuscript have also been studied. The work seeks to explode the theory that the Indian mathematical genius was predominantly algebraic and computational and that it eschewed proofs and rationales. There was a school in India which delighted to demonstrate even algebraical results geometrically. In their search for a sufficiently good approximation for the value of pie Indian mathematicians had discovered the tool of integration. Which they used equally effectively for finding the surface area and volume of a sphere and in other fields. This discovery of integration was the sequel of the inextricable blending of geometry and series mathematics.
Author: Ramkrishna Bhattacharya
Publisher: Cambridge Scholars Publishing
ISBN: 9781527530942
Category :
Languages : en
Pages : 221
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Book Description
This book is the first complete study of the origin of geometry in India. In Ancient India, brick-built fire-altars (citi-s) were ordained for the Soma sacrifice, a Vedic rite, which led to the compilation of rule-books for making and arranging bricks. These volumes, called ÅsulbasÅ«tra-s, represent the first available texts of both geometry and mensuration, and were composed from 600 BCE, although the actual practice goes back to c. 1500 BCE. This book begins by detailing the history of geometry in Egypt, Mesopotamia, and Greece, and shows that geometry everywhere starts with brick-built structures, rather than the measurement of land. It emphasizes that geometry in India, unlike in Greece, was side-based rather than angle-based. The text is profusely illustrated.
Author: Bartel L. van der Waerden
Publisher: Springer Science & Business Media
ISBN: 3642617794
Category : Mathematics
Languages : en
Pages : 236
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Book Description
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.
Author: T. S. Bhanu Murthy
Publisher: New Age International
ISBN: 9788122403718
Category : Hindu mathematics
Languages : en
Pages : 230
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Book Description
The Purpose Of This Book Is To Draw The Attention Of Students And Teachers Of Mathematics To The Historical Continuity Of Indian Mathematics, Starting From The Sulba Sutras Of The Vedas Up To The 17Th Century. The Book Includes Proofs, Not Presented So Far, Of The Propositions Stated In The Well-Known Treatise Vedic Mathematics By Sri Bharati Krishna Teertha. It Also Introduces To The Modern Reader The Work Of Aryabhata, Brahmagupta, Bhaskara And Madhava.
Author: Gerard G. Emch
Publisher: Springer
ISBN: 9386279258
Category : Mathematics
Languages : en
Pages : 293
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Book Description
This volume consists of a collection of articles based on lectures given by scholars from India, Europe and USA at the sessions on 'History of Indian Mathematics' at the AMS-India mathematics conference in Bangalore during December 2003. These articles cover a wide spectrum of themes in Indian mathematics. They begin with the mathematics of the ancient period dealing with Vedic Prosody and Buddhist Logic, move on to the work of Brahmagupta, of Bhaskara, and that of the mathematicians of the Kerala school of the classical and medieval period, and end with the work of Ramanaujan, and Indian contributions to Quantum Statistics during the modern era. The volume should be of value to those interested in the history of mathematics.
Author: B.S. Yadav
Publisher: Springer Science & Business Media
ISBN: 0817646957
Category : Mathematics
Languages : en
Pages : 230
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Book Description
This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.
Author: Aditya Kolachana
Publisher: Springer
ISBN: 9811373264
Category : Mathematics
Languages : en
Pages : 754
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Book Description
This volume presents a collection of some of the seminal articles of Professor K. S. Shukla who made immense contributions to our understanding of the history and development of mathematics and astronomy in India. It consists of six parts: Part I constitutes introductory articles which give an overview of the life and work of Prof. Shukla, including details of his publications, reminiscences from his former students, and an analysis of his monumental contributions. Part II is a collection of important articles penned by Prof. Shukla related to various aspects of Indian mathematics. Part III consists of articles by Bibhutibhusan Datta and Avadhesh Narayan Singh—which together constitute the third unpublished part of their History of Hindu Mathematics—that were revised and updated by Prof. Shukla. Parts IV and V consist of a number of important articles of Prof. Shukla on different aspects of Indian astronomy. Part VI includes some important reviews authored by him and a few reviews of his work. Given the sheer range and depth of Prof. Shukla’s scholarship, this volume is essential reading for scholars seeking to deepen their understanding of the rich and varied contributions made by Indian mathematicians and astronomers.
Author: James T. Braha
Publisher:
ISBN: 9780935895049
Category : Hindu astrology
Languages : en
Pages : 0
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Book Description
"Ever since my first journey to India I have desired to share the knowledge I was fortunate enough to receive. I have also felt a need to dispel some rather major misconceptions, the main one being the fact that Hindu astrology is extraordinarily difficult. This is not true, as will soon hopefully be revealed. Although I have always been most fascinated with astrology because of the philosophical implications and revelations which can be extracted. I have done my best to keep philosophy from this work, as that is not my present purpose. It is my intention only to present Hindu astrology in a way that it deserves to be presented, which is long overdue -- a way which western astrologers can understand and utilise, and which will clear away the mystery and finally put into perspective the enormously complex techniques which make up the bulk of most textbooks on the subject. Having worked with both Hindu and western systems, it is my experience that the two greatly complement each other and together form the basis for a complete and profound astrology." -- taken from the Introduction.
Author: Sir Brajendranath Seal
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 316
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Book Description
