A History of the Kerala School of Hindu Astronomy (in Perspective) c3: Contents

A History of the Kerala School of Hindu Astronomy (in Perspective) c3

Language: English

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CH. I. SOME SALIENT FEATURES OF KERALA ASTRONOMY 1-10

Introduction (p. 1)—Spirit of enquiry (1-3)—Stress on observation and experimentation (3-4)—Concern for accuracy (4)—Researcher's outlook (4-5)—Continuity of tradition (5-6)—Basic features of Kerala astronomy (6-7)—Parahita system of astronomy (7-9)—Dṛk system of astronomy (9-10)

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CH. II. ANTICIPATION OF MODERN MATHEMATICAL DISCOVERIES BY KERALA ASTRONOMERS 11-28

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The background (11-12)—Tycho Brahe's Reduction to the ecliptic (12-14)—Newton-Gauss Interpolation formula (14-15)—Taylor Series for Sine and Cosine functions (15-16)—Newton's Power Series for Sine and Cosine (16-18)—Infinite G.P. Convergent Series (18-19)—Lhuiler's formula for the Circum-radius of the Cyclic quadrilateral (19-20)—Gregory and Leibnitz's Series for the Inverse tangent (20-22)—Leibnitz's Power series for π (22-23)—Approximations to the value of π (23-27)—Some other highlights (27-28)

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CH. III. MAJOR TRENDS IN KERALA LITERATURE ON JYOTIṢA 29-40

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Introductory (29)—The classical texts (29-30)—Major works on astronomy (30-32)—Computation of the Moon (32)—Veṇvāroha method for the Moon (32-33)—Computation of eclipses (33)—Computation of the shadow (33-34)—Long-range almanacs (34)—Astronomical rationale (34-35)—Practical astronomy (35)—Revision of astronomical constants (35-36)—

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CH. III. MAJOR TRENDS (contd.)

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Mathematics (36)—Horary astrology (36)—Auspicious times (*Muhūrta*) (36-37)—Astrological query (*Praśna*) (37)—Natural astrology (37-38)—Malayalam versions of Sanskrit texts (38)—Kerala Jyotiṣa outside Kerala (38-40)

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CH. IV. KERALA ASTRONOMERS 41-81

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Introductory (41)—Earlier documentation (41-42)—Chronological account of Kerala astronomers and their main works (43-81)

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CH. V. A BIBLIOGRAPHY OF KERALA JYOTIṢA LITERATURE 82-184

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Source material and method of presentation (82-84)—Annotated Bibliography of authors and works, with the documentation of manuscripts, editions, translations, studies and extracts (85-184)

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CH. VI. A BIBLIOGRAPHY OF KERALA-BASED JYOTIṢA LITERATURE 185-96

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Source material and method of presentation (185-86)—Bibliography of authors and works with documentation of manuscripts etc. (187-96)