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1. 1. Ancient Indian Leaps Into Mathematics

   

   A scholarly, accessible survey of the development of mathematical ideas in ancient and medieval India, tracing innovations such as the place-value decimal system and the conceptualization of zero, algorithmic techniques for arithmetic and algebra, geometric and trigonometric methods, and procedures for solving indeterminate equations. It combines translations and explanations of Sanskrit sutras with historical commentary, mathematical reconstructions, and comparisons to contemporary practices elsewhere, highlighting original problem-solving methods like the kuttaka, cyclic algorithms, and approximation techniques used by astronomer-mathematicians. The work emphasizes the originality and influence of these contributions on later mathematics, assessing their logical foundations, pedagogical style, and transmission to other cultures.

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