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Studies in Indian Mathematics and Astronomy

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Cover of 'Studies in Indian Mathematics and Astronomy'

Table of Contents

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    Book Overview
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    Chapter 1 Reminiscences of Prof. K. S. Shukla
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    Chapter 2 Dr. Kripa Shankar Shukla, veteran historian of Hindu astronomy and mathematics
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    Chapter 3 Obituary: Kripa Shankar Shukla (1918–2007)
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    Chapter 4 Prof. K. S. Shukla’s contribution to the study of the history of Hindu astronomy
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    Chapter 5 The seminal contribution of K. S. Shukla to our understanding of Indian astronomy and mathematics
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    Chapter 6 Hindu mathematics in the seventh century as found in Bhāskara I’s commentary on the Āryabhaṭīya (I)
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    Chapter 7 Hindu mathematics in the seventh century as found in Bhāskara I’s commentary on the Āryabhaṭīya (II)
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    Chapter 8 Hindu mathematics in the seventh century as found in Bhāskara I’s commentary on the Āryabhaṭīya (III)
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    Chapter 9 Hindu mathematics in the seventh century as found in Bhāskara I’s commentary on the Āryabhaṭīya (IV)
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    Chapter 10 On Śrīdhara’s rational solution of Nx2 + 1 = y2
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    Chapter 11 Ācārya Jayadeva, the mathematician
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    Chapter 12 Series with fractional number of terms
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    Chapter 13 Hindu methods for finding factors or divisors of a number
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    Chapter 14 Magic squares in Indian mathematics
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    Chapter 15 Hindu geometry
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    Chapter 16 Hindu trigonometry
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    Chapter 17 Use of calculus in Hindu mathematics
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    Chapter 18 Use of permutations and combinations in India
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    Chapter 19 Magic squares in India
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    Chapter 20 Use of series in India
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    Chapter 21 Surds in Hindu mathematics
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    Chapter 22 Approximate values of surds in Hindu mathematics
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    Chapter 23 Astronomy in ancient and medieval India
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    Chapter 24 Main characteristics and achievements of ancient Indian astronomy in historical perspective
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    Chapter 25 On three stanzas from the Pañcasiddhāntikā
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    Chapter 26 The Pañcasiddhāntikā of Varāhamihira (1)
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    Chapter 27 The Pañcasiddhāntikā of Varāhamihira (2)
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    Chapter 28 Āryabhaṭa I’s astronomy with midnight day-reckoning
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    Chapter 29 Glimpses from the Āryabhaṭasiddhānta
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    Chapter 30 Early Hindu methods in spherical astronomy
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    Chapter 31 Use of hypotenuse in the computation of the equation of the centre under the epicyclic theory in the school of Āryabhaṭa I ???
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    Chapter 32 Hindu astronomer Vaṭeśvara and his works
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    Chapter 33 The evection and the deficit of the equation of the centre of the Moon in Hindu astronomy
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    Chapter 34 Phases of the Moon, rising and setting of planets and stars and their conjunctions
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    Chapter 35 Vedic Mathematics : The deceptive title of Swamiji’s book
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    Chapter 36 A note on the Rājamṛgāṅka of Bhoja published by the Adyar Library
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    Chapter 37 Review of Rājamṛgāṅka of Bhojarāja
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    Chapter 38 Review of Karaṇaratna of Devācārya
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    Chapter 39 A note on Raymond P. Mercier’s review of “ Karaṇaratna of Devācārya”
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    Chapter 40 The yuga of the Yavanajātaka: David Pingree’s text and translation reviewed
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    Chapter 41 Review of Vaṭeśvarasiddhānta and Gola of Vaṭeśvara
Attention for Chapter 31: Use of hypotenuse in the computation of the equation of the centre under the epicyclic theory in the school of Āryabhaṭa I ???
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