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Gaṇitasārasan̄graha

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Gaṇitasārasan̄graha
Information
ReligionJainism
AuthorMāhāvīrācharya
LanguageSanskrit
Period9th century

Gaṇitasārasan̄graha (Compendium on the gist of Mathematics) is a mathematics text written by Mahavirācharya. 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, Mahaviracharya wrote Ganit Sara Sangraha which is the first textbook on arithmetic in present day form. In his book,he described in details the current method of finding Lowest Common Multiple(LCM). Therefore,it was an invention not by the John Napier but by MahavirAcharya in its actual form.

Structure[edit]

  1. Sangyaādhikāra (Terminology)
  2. Parikarmavyāvhār (Arithmetical operations)
  3. Kālaswarnavyavhār (Fractions)
  4. Prakīrñakvyavhār (Miscellaneous problems)
  5. Trairāshik (Rule of three)
  6. Miśravyavhār (Mixed problems)
  7. Kśetragaṇit vyavhār (Measurement of Areas)
  8. Khātvyavhār (calculations regarding excavations)
  9. Chāyāvyavhār (Calculations relating to shadows)

Praise[edit]

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[edit]

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.

Ganit Sara Sangraha[edit]


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