What may we learn if we view mathematics as a set of practices such as estimating, measuring, counting, proportioning, and so on, and as embedded in practices like sculpting, teaching, accounting, and more? What does this reveal about the role of computational and mathematical practices in shaping our social and political lives?

This archive showcases our ongoing explorations of these questions, particularly in the context of South India. We welcome you to engage with our materials, ask questions, and enrich the archive. Please reach out if you'd like to contribute.

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One of our prominent lines of inquiry for us has been to investigate the relations between texts, schooling, and practice. The learners of tiṇṇai schools, which were sites for training in village accountant as well as revenue accountant in parts of precolonial Tamil Nadu and Keralam, produced eṇcuvaṭi (number primers) to mark the completion of their learning. While we cannot say for certain whether texts in the kaṇakkatikāram tradition were used as pedagogical texts in tiṇṇai schools, there is sufficient evidence to suggest that the contents of these texts mirror the material transacted in tiṇṇai schools as well as the professional needs of the workplace, particularly those of village accountants. Various revenue and mercantile accounts we have collected from different parts of Tamil Nadu were produced by those trained in these tiṇṇai schools.

Thus, contrasting and comparing items in the following collection offers a way to understand the relationship between texts, schooling, and practice in a particular historical context, as well as the potential consequences mathematical practices may have had for the general public (for instance, through the profession of the village accountant). For further reading, see Senthil Babu (2022).

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Collection
Encuvati
Like their Tamil counterparts Malayalam Eñcuvaṭi are also number primer with list of numbers, list of measures, addition and multiplication numbers. Malayalam Eñcuvaṭi is yet to be deeply studied.
ECV_TLU_TNJ_1795_B_02307_006
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Physical Object
Encuvati
Contains 27 leaves. Readable. Incomplete. 4-5 lines per page approximately. Good condition. This manuscript served as a pedagogic material to the primary level students, deals with basic mathematics.
ECV_NTP_004_5427
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Encuvati
ECV_NTP_003_4555
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Encuvati
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Item
Manuscript
Kanakkusaram Balaprabodham (കണക്കുസാരം ബാലപ്രബോധം)
This Kanakkusaram Balaprabodham is edited by C. Achyuta Menon and published by Government Oriental Manuscript Library. The editor does not mention the repository information of the corresponding palm leaf manuscript. This is similar to Kanakkusaram, but the editor notes that this is simpler. Additionally it contains some verses not in Kanakkusaram and it does not have some verses in Kanakkusaram. It is likely that the author of Kanakkusaram Balaprabodham is different from author of Kanakkusaram but that their sources are similar. The author of this text also mentions that the text is based on Kanakkatikaram and Lilavati. The version we link here is a digital copy of the text is housed at Granthapura - Kerala Digital Archive.
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Manuscript
Kanakkusaram (കണക്കുസാരം -- Kaṇakkusāram)
This edited version of Kanakku Sāram is based on Palm Leaf Ms. D. No. 291 in the Govt. Oriental Ms. Library Madras. It is edited by C. Achyuta Menon and published by Government Oriental Manuscript Library. A digital copy of the text is housed at Granthapura - Kerala Digital Archive. The text does not name its author. However the author mentions that they base their compilation on the teachings of their Guru, Kaṇakkatikāram and Līlāvatī. The editor has grouped the verses under 6 Chapters. The verses which describes numbers or procedures are followed with problems often. An explanation to verses are often given in prose. The text appears to combine numbers from both Lilavati and Kanakkatikaram to produce a longer list of numbers. In addition to this it also deals with grain measures, gold measures and so on found in Kanakkatikaram texts. The text also refers to diversity in linear measures, in terms of how a kol may vary from place to place. Rule of three, Rule of five and above, the inverse rule of three etc are explicitly stated and many problems on the same are posed. The text also includes problems to compute interest rates, problems on muthukanakku (on computing value of pearls) and a variety of time measures among other things.
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Manuscript
Līlāvatī Malayalam Commentary
This is one of the six commentaries of Līlāvatī in Malayalam according to K V Sarma. It contains a problem on Uruḷ Paliśa, or what the text later explains as 'paliśakku paliśa'. The Malayalam term 'paliśa' translate as interest and 'paliśakku paliśa' translates to interest on interest [see r. 106 - r.109]. The text has a Sanskrit verse on how to solve the problem and gives detailed description in Malayalam. Compound interest is usually not found in any of the major texts such as Līlāvatī, Pāṭīgaṇitam, Kaṇakkatikāram, Ganitasarasangraham or in any Sanskrit Commentaries of Lilavati.
KKM_GOML_CHN_TR_1141_R_01998_0200
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Physical Object
Kanakkatikaram
The dimension of the palm leaf manuscript is 15x1 inches. 22 leaves; 44 folios. Condition is good, though some leaves are damaged. Contains 4-5 lines per page. Incomplete. Kanakkatikaram is a pedagogic text for advanced students. It deals with arithmetic and other mathematical calculations. Contains both formulas as well as calculations.
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KVK_ITS_CHN_MSN_010_1102
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Kovil Kanakku
PKV_GOML_CHN_TR_0489_R_02201_004
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Pala Kanakku Vagai
VPS_GOML_CHN_M_0375_D_3965_002
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Viyapara Sarakku
MPK_SHMP_TNP_1063_3297
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Physical Object
Meenpidi Kanakku
Contains 198 pages. Readable. Complete. Preserved in good condition. This manuscript deals with day-to-day fishery accounts by Muslims in the 1940s.
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