Many enduring works on religion and secular subjects were written in Sanskrit. In mathematics, ground breaking theories on Algebra, Arithmetic and Geometry were postulated by Mahaviracharya, a native of Gulbarga who belonged to the Karnataka mathematical tradition. He was patronised by King Amoghavarsha I. His greatest contribution was "Ganitasarasangraha", a writing in 9 chapters that defined important axioms. These axioms state that a proper fraction is a sum of improper fractions, a negative number is not a square number and hence does not have a square root. He also defined formulae to calculate the sum of complex progressions and a measurement unit for the size of an atom. His other works are "Chattisa Ganitha", a volumnous work that contains 9,000 "Granthas" (manuscripts) pertaining to mathematical collection. The "Shlokas" (verses) are in Sanskrit and the commentary is in Kannada language. His other writings are "Shatrinshika" and "Jyotish Patal".