Indian Mathematics: Engaging With The World From Ancient To Modern TimesIndian Mathematics gives a unique insight into the history of mathematics within a historical global context. It builds on research into the connection between mathematics and the world-wide advancement of economics and technology. Joseph draws out parallel developments in other cultures and carefully examines the transmission of mathematical ideas across geographical and cultural borders.Accessible to those who have an interest in the global history of mathematical ideas, for the historians, philosophers and sociologists of mathematics, it is a book not to be missed. |
Contents
| 1 | |
An Overview | 15 |
A Seamless Story or Two Separate Episodes? | 41 |
Mathematics in Jain and Buddhist Literature | 97 |
The Bakhshali and Siddhanta Episodes | 145 |
Aryabhata I and his Followers | 163 |
From Brahmagupta to Mahavira | 199 |
Bhaskaracharya and His Legacy | 249 |
The Kerala School and Its Impact | 325 |
From Ancient Beginnings to Nilakantha | 397 |
Texts Translations and Dissemination | 427 |
The Rise of Western Mathematics | 441 |
| 467 | |
| 479 | |
| 481 | |
Narayana Pandita and Successors | 297 |
Other editions - View all
Indian Mathematics: Engaging with the World, from Ancient to Modern Times George Gheverghese Joseph No preview available - 2016 |
Indian Mathematics: Engaging with the World, from Ancient to Modern Times George Gheverghese Joseph No preview available - 2016 |
Common terms and phrases
algebra altars angulas approximation arithmetic Aryabhata Aryabhatiya Bakhshali Manuscript base Bhaskara I’s Bhaskara II Bhaskaracharya Bijaganita Brahmagupta Brahmasphutasiddhanta Brahmin bricks calculating century chapter chord circle circumference civilisation commentary computation construction contains cosine culture cyclic quadrilateral derived diagonals diameter discussion divided earlier equal example Expressed in modern Figure formula geometry given gives Greek Harappa indeterminate equations Indian astronomy Indian mathematics Indus infinite series infinity integer interesting Islamic Jain Jyesthadeva Kerala mathematics Kerala School known large numbers later length Lilavati Madhava magic squares Mahavira mathematics and astronomy Mayan method modern notation multiplied Narayana Nilakantha notable number of terms period problem Pythagorean theorem quantity quotient radius Ramanujan rectangle result right-angled triangle ritual Rsin Rsines Rule of Three Sanskrit shadow sides sine solution square root Sridhara subtracted Sulbasutras Sutra symbol texts tradition translated trigonometry unit fractions Vedic Verse Yuktibhasa zero