Mathematics in India (eBook)

Kim Plofker (Autor)

eBook Download: EPUB

2008
360 Seiten
Princeton University Press (Verlag)
978-1-4008-3407-5 (ISBN)

Infos

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 "e;computational positivism"e; 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 "e;The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism"e; (Interdisciplinary Science Reviews 28, 2003, 1-13).

Autor

Kim Plofker is visiting assistant professor of mathematics at Union College.

Produkt-Details

• Erscheint lt. Verlag: 29.12.2008
• Zusatzinfo: 10 halftones. 40 line illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Geisteswissenschaften ► Geschichte
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
• Themenwelt: Technik
• Schlagworte: Addition • algorithm • Approximation • arithmetic • arithmetic progression • astrological sign • Astrology • Astronomer • Astronomy • Axial tilt • Brahmagupta • Buddhism • Calculation • Celestial coordinate system • Celestial equator • celestial sphere • Chronology • circumference • coefficient • common era • Computation • Concrete number • Consonant • Cube root • deity • diagonal • DIAMETER • Divisor • Divisor (algebraic geometry) • early modern period • Epoch (reference date) • Equation • Geometry • Gnomon • grammar • Horoscope • Hypotenuse • Illustration • Indian astronomy • Indian Literature • Indian mathematics • Indian Philosophy • inference • Integer • Line segment • Literature • longitude • Mathematical Notation • Mathematical Sciences • mathematician • Mathematics • Mean longitude • Mean motion • Measurement • Metrology • Minute and second of arc • month • Muslim world • Notation • Numerical analysis • orality • Order of magnitude • Parameter • Positional notation • prime meridian • Proportionality (mathematics) • Proportion (architecture) • Prose • Pythagorean Theorem • Quadratic equation • Quantity • rectangle • regular polygon • Right triangle • Ruler • Sanskrit • Sanskrit Literature • scientific notation • semicircle • Six operations • Spherical trigonometry • square root • Summation • Textbook • Tithi • Trigonometric Functions • Trigonometry • Uncertainty • Variable (mathematics) • vedas • Vedic Mathematics (book) • Vedic period • Versine • vowel • water clock • Western Asia • Writing • yajurveda • year • Yuga
• ISBN-10: 1-4008-3407-4 / 1400834074
• ISBN-13: 978-1-4008-3407-5 / 9781400834075