Twenty-One Algebraic Normal Forms of Citrabhānu

Hayashi, Takao; Kusuba, Takanori

doi:10.1006/hmat.1997.2171

Cited by 4 publications

(3 citation statements)

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“…A famous example is Citrabhānu's 21 questions and answers, mentioned above, which survives in the Kriyākramakarī (Sarma 1975: 108-26;Hayashi and Kusuba 1998). Here given any two of seven possible combinations of two unknowns (involving sums, products, squares and cubes), the other quantities are to be reconstructed.…”

Section: Th E O Rga N I Z At I O N O F K Now L E D G Ementioning

confidence: 99%

“…Among these, one can find the approximation of (Katz 2007: 481-93), Govindasvāmin's arithmetic rules quoted in the Kriyākrama-karī (Hayashi 2000), and Citrabhānu's 21 questions (Hayashi and Kusuba 1998;Mallayya 2011;cf. Wagner 2015).…”

Section: Introductionmentioning

confidence: 99%

“…3 For surveys of Kerala school mathematics see : Sarma 1972;Joseph 2009;Plofker 2009: ch. 7;Puttaswamy 2012: ch.…”

Section: Introductionmentioning

confidence: 99%

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The Kriyākramakarī’s Integrative Approach to Mathematical Knowledge

Wagner

2018

Hist. Sci. South Asia

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The purpose of this paper is to review the general organization of knowledge in the Kriyākramakarī, a sixteenth-century treatise of Kerala mathematics. Specifically, I will argue that the authors' interest in justification or proof is integrative, rather than hierarchical or cumulative. In other words, the purpose of proofs in the Kriyākramakarī is to connect various different aspects of mathematics, rather than just establish results by means of previously known results.

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Section: Th E O Rga N I Z At I O N O F K Now L E D G Ementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%