Based on extensive research in Sanskrit sources, "Mathematics in
India" chronicles the development of mathematical techniques and
texts in South Asia from antiquity to the early modern period. Kim
Plofker reexamines the few facts about Indian mathematics that have
become common knowledge--such as the Indian origin of Arabic
numerals--and she sets them in a larger textual and cultural
framework. The book details aspects of the subject that have been
largely passed over in the past, including the relationships
between Indian mathematics and astronomy, and their
cross-fertilizations with Islamic scientific traditions. Plofker
shows that Indian mathematics appears not as a disconnected set of
discoveries, but as a lively, diverse, yet strongly unified
discipline, intimately linked to other Indian forms of
learning.
Far more than in other areas of the history of mathematics, the
literature on Indian mathematics reveals huge discrepancies between
what researchers generally agree on and what general readers pick
up from popular ideas. This book explains with candor the chief
controversies causing these discrepancies--both the flaws in many
popular claims, and the uncertainties underlying many scholarly
conclusions. Supplementing the main narrative are biographical
resources for dozens of Indian mathematicians; a guide to key
features of Sanskrit for the non-Indologist; and illustrations of
manuscripts, inscriptions, and artifacts. "Mathematics in India"
provides a rich and complex understanding of the Indian
mathematical tradition.
**Author's note: The concept of "computational positivism" in
Indian mathematical science, mentioned on p. 120, is due to Prof.
Roddam Narasimha and is explored in more detail in some of his
works, including "The Indian half of Needham's question: some
thoughts on axioms, models, algorithms, and computational
positivism" ("Interdisciplinary Science Reviews" 28, 2003,
1-13).
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