
Pages
Categories
Search this Blog
Archives
mAnasataraMgiNI supplement
 Perhaps because I don't like solitary travel I find this world roving a rather aberrant practice. But more to the p… twitter.com/i/web/status/1… 2 days ago
 I was speaking to my parents about this very issue because someone came up to me & authoritatively tried to mention… twitter.com/i/web/status/1… 2 days ago
 A partial graph of researchers leading the development of modern physics with some additional vertices added. The d… twitter.com/i/web/status/1… 2 days ago
 Elektorornis a strange bird from the Burmese Cretaceous amber with a very long 3rd digit on its foot https://t.co/sC1hwnah66 2 days ago
 A web of who eats whom as preserved in the fossil record of the Yanliao and Jehol in what's today China. https://t.co/PH4NDvU8Un 2 days ago
Top Posts

Recent Posts
 Matters of religion: the Vāyavīyaṃ Kauberavratam
 The Platonic culmination of Euclid and the pentagonhexagondecagon identity
 Leaves from the scrapbook4
 From Plato to Euler and back
 Śivagaṇas and Andhakāsuravadha in the Vāmanapurāṇa
 Packing constants for polygonal fractal maps
 Cows, horses, sheep and goats
 Fraudulent science by Indians: some really bad news
 Leaves from the scrapbook3
 Mongolica: The Tangut empire
 Notes on the Bhadrasūkta, a hymn for felicity to the Vedic pantheon
 Liṅgakāmādisūtrāṇi
 Creating patterns through matrix expansion
 An apparition of Mordell
 A dinnertime conversation
 Newton’s cows
 A novel discrete map exhibiting chaotic behavior
 1859 CE and beyond: Some reflections
 Cricket in pictures
 The maṅgalācaraṇam of the Mānasollāsa
 The second strike
 Visualizing the Hindu divisibility test
 Fermat’s little theorem and the periods of the reciprocals of primes
 A layman’s overview of the arithmetic of encryption
 Divisionmultiplication parabolas, triplications, and quadratic residues
 A brief overview of the last campaign of Chingiz Khan and the issue of succession in the Mongol empire
 The mean hyperbola and other mean functions
 A Political roundup August 15 2018
 The geometric principles behind discrete dynamical systems based on the generalized Witch of Agnesi
 Reflections on our journey through the aliquot sums and sequences
Meta
Tag Archives: Hindu mathematics
Visualizing the Hindu divisibility test
Prologue This article continues on the themes covered by the last two (here and here) relating to factorization and the primitive root modulo of a prime number. Early in ones education one learns the divisibility tests for the first few … Continue reading
Posted in Scientific ramblings
Tagged arithmetic, divisibility, Hindu mathematics, mathematical entity, mathematics, prime numbers, Shankaracharya
A problem from 600 CE and some curiosities of Āryabhaṭa’s kuṭṭaka algorithm
Around 600 CE in the examinations of one of the Hindu schools of mathematics and astronomy one might have encountered a problem such as below (given by BhāskaraI in his commentary on Āryabhaṭa’s Āryabhaṭīya): dvayādyaiḥ ṣaṭparyantair ekāgraḥ yo ‘vaśiṣyate rāśiḥ … Continue reading
Posted in Heathen thought, Scientific ramblings
Tagged AryabhaTa, Golden Ratio, Hindu mathematics, kuTTaka, mathematics, prime numbers
Triangles, Hexes and Cubes
One philosophical question which we have often ponder about is: Are numbers “real”? One way to approach this question is via figurate numbers, where numbers directly manifest as very tangible geometry. This idea has deep roots in our tradition: as … Continue reading
Posted in art, Heathen thought, History, Scientific ramblings
Tagged AryabhaTa, Euler, figurate numbers, Gauss, Geometric construction, geometry, hex, Hindu mathematics, nIlakaNTha somayAjin, recreational geometry, sequence, series sum, square, sum, triangular
Citrabhānu’s cubes
The Hindus unlike their yavana cousins preferred algebra to geometry. Yet on occasions they could indulge in geometric games for demostrating proofs of algebraic relations. We see a bit of this in the Āryabhaṭa school and the great BhāskaraII, but … Continue reading
The square root spiral and the Gamma function: entwined analogies
The topic discussed here is something on which considerable serious mathematical literature has published by P.J Davis, W. Gautschi and others. This partly historical narration is just a personal account of our journey through the same as a nonmathematician. As … Continue reading
Posted in art, Scientific ramblings
Tagged Descartes, Gamma function, Gauss, geometry, Hindu mathematics, mathematical entity, mathematics, recreational geometry, recursion, spiral, square root
The magic of the devaogdoad
Classical Hindu tradition holds that the ogdoad of devas corresponding to their directions is: Indra: East; Agni: Southeast; Yama: South; Nirṛti: Southwest; Varuṇa: West; Vāyu: Northwest; Kubera: North; Īśāna: Northeast. The central position might be occupied in certain traditions by … Continue reading
Āryabhaṭa and his sine table
Everyone and his son have written about Āryabhaṭa and his sine table. Yet we too do this because sometimes the situation arises where you have to explain things clearly to a layman who might have some education but is unfamiliar … Continue reading
Posted in Heathen thought, History, Scientific ramblings
Tagged AryabhaTa, astronomy, Hindu mathematics, Hindu science, history of science, mathematics, siddhAnta, sine table, sines, trigonometry