Preply — Study more efficiently by working with a personal tutor. Get 50% off.Affiliate

Wikipedia

Gaṇita-sāra-saṅgraha

Gaṇita-sāra-saṅgraha

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 Mahaviracharya wrote Ganitsara sangraha which is the first textbook on arithmetic in present day. The book describes in details the current method of finding Lowest Common Multiple (LCM).

Structure Sangyaādhikāra (Terminology) Parikarmavyāvahāra (Arithmetical operations) Kālaswarnavyavahāra (Fractions) Prakīrñakvyavahāra (Miscellaneous problems) Trairāshika (Rule of three) Miśravyavahāra (Mixed problems) Kśetragaṇita vyavahāra (Measurement of Areas) Khātvyavahāra (calculations regarding excavations) Chāyāvyavahāra (Calculations relating to shadows)

Quotes The work praises mathematics as follows:

Meaning: All the extant things in three worlds can't exist without their foundation being in mathematics. The end of the first chapter Sangyaādhikāra describes the following eight qualities of a mathematician:

Meaning: 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

Bibliography An English-Kannada translation of the book by Dr Padmavathamma was published by the Sri Hombuja Jain Math in 2000

Tags

  • 9th-century Sanskrit literature
  • History of mathematics
  • Jain texts