Ganita sar sangrah
| Ganita sar sangrah | |
|---|---|
| File:Ganita Sara Sangraha - Sanskrit.djvu | |
| Information | |
| Religion | Jainism |
| Author | Māhāvīrācharya |
| Language | Sanskrit |
| Period | 9th century |
Gaṇitasārasan̄graha (Compendium on the gist of Mathematics) is a mathematics text written by Māhāvīrācharya. It is first text completely written on mathematics with questions asked in it being completely different from one asked in previous texts composed in Indian subcontinent. In the 9th century, during Amoghavarsha's rule[1] Mahaviracharya wrote Ganitsara sangraha which is the first textbook on arithmetic in present day.[2] The book describes in details the current method of finding Lowest Common Multiple (LCM).[3]
Structure
- Sangyaādhikāra (Terminology)
- Parikarmavyāvhār (Arithmetical operations)
- Kālaswarnavyavhār (Fractions)
- Prakīrñakvyavhār (Miscellaneous problems)
- Trairāshik (Rule of three)
- Miśravyavhār (Mixed problems)
- Kśetragaṇit vyavhār (Measurement of Areas)
- Khātvyavhār (calculations regarding excavations)
- Chāyāvyavhār (Calculations relating to shadows)
Praise
- लौकिके वैदिके वापि तथा सामयिकेऽपि यः।
- व्यापारस्तत्र सर्वत्र संख्यानमुपयुज्यते॥
अर्थ: All the extant things in three worlds can’t exist without their foundation being in mathematics.
Qualities of a Mathematician
Eight qualities of a Mathematician have been described at the end of Gaṇitasārasan̄graha‘s sangyaādhikāra:-
- लघुकरणोहापोहानालस्यग्रहणधारणोपायैः।
- व्यक्तिकरांकविशिष्टैर् गणकोऽष्टाभिर् गुणैर् ज्ञेयः॥
“A mathematician is to be known by eight qualities: conciseness, inference, confutation, vigour in work and progress, comprehension, concentration of mind and by the ability of finding solutions and uncovering quantities by investigation.
References
- ↑ Acharya 1963, p. 1.
- ↑ Joseph, George Gheverghese (28 July 2016) (in en). Indian Mathematics: Engaging With The World From Ancient To Modern Times. World Scientific. p. 232. ISBN 978-1-78634-063-4. https://books.google.com/books?id=XIj4DAAAQBAJ&q=ganitasarasangraha&pg=PA232. Retrieved 9 February 2021.
- ↑ Acharya 1963.
Sources
- acharya, Mahaveer (1963). Gaṇitasārasan̄graha. Shri Gulabchand Hirachand Doshi Jain Sanskriti Sanrakshak Sangh, Sholapore. https://archive.org/details/in.ernet.dli.2015.327215.
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