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Gaṇitānanda

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Cover of 'Gaṇitānanda'

Table of Contents

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    Book Overview
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    Chapter 1 A Portrait of the Life of R. C. Gupta
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    Chapter 2 A Birthday Tribute to R. C. Gupta
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    Chapter 3 Professor R. C. Gupta Receives the Kenneth O. May Prize
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    Chapter 4 On the Date of Śrīdhara
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    Chapter 5 In the Name of Vedic Mathematics
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    Chapter 6 Foreign Reviews and Evaluation of Indian Works on History of Science
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    Chapter 7 The Study of History of Mathematical Sciences in India
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    Chapter 8 Historical Notes: Kali Chronograms of Nārāyaṇa Bhaṭṭatiri
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    Chapter 9 On Some Mathematical Rules from the Āryabhaṭīya
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    Chapter 10 Decimal Denominational Terms in Ancient and Medieval India
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    Chapter 11 New Indian Values of $$\pi $$ from the Mānava-śulba-sūtra
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    Chapter 12 The Lakṣa Scale of the Vālmīki Rāmāyaṇa and Rāmā’s Army
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    Chapter 13 The Chronic Problem of Ancient Indian Chronology
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    Chapter 14 A Problem on Interest in the  Nārada-purāṇa
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    Chapter 15 Who Invented the Zero?
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    Chapter 16 World’s Longest Lists of Decuple Terms
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    Chapter 17 Circumference of the Jambūdvīpa in Jaina Cosmography
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    Chapter 18 Mādhavacandra’s and Other Octagonal Derivations of the Jaina Value $$\pi = \sqrt{10}$$
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    Chapter 19 Chords and Areas of Jambūdvīpa Regions in Jaina Cosmography
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    Chapter 20 The First Unenumerable Number in Jaina Mathematics
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    Chapter 21 गोलपृष्ठ के लिये महावीर-फेरू सूत्र और विदेशों में उनकी झलक
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    Chapter 22 Brahmagupta’s Formulas for the Area and Diagonals of a Cyclic Quadrilateral
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    Chapter 23 On the Volume of a Sphere in Ancient India
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    Chapter 24 Kamalākara’s Mathematics and Construction of Kuṇḍas
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    Chapter 25 Area of a Bow-Figure in India
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    Chapter 26 Yantras or Mystic Diagrams: A Wide Area for Study in Ancient and Medieval Indian Mathematics
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    Chapter 27 Second-Order Interpolation in Indian Mathematics up to the Fifteenth Century
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    Chapter 28 Munīśvara’s Modification of Brahmagupta’s Rule for Second-Order Interpolation
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    Chapter 29 Varāhamihira’s Calculation of $$^nC_r$$ and the Discovery of Pascal’s Triangle
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    Chapter 30 The Last Combinatorial Problem in Bhāskara’s Līlāvatī
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    Chapter 31 Early Pandiagonal Magic Squares in India
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    Chapter 32 Bhāskara I’s Approximation to Sine
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    Chapter 33 Fractional Parts of Āryabhaṭa’s Sines and Certain Rules Found in Govindasvāmin’s Bhāṣya on the Mahābhāskarīya
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    Chapter 34 Early Indians on Second-Order Sine-Differences
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    Chapter 35 An Indian Form of Third-Order Taylor Series Approximation of the Sine
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    Chapter 36 Solution of the Astronomical Triangle as Found in the Tantrasaṅgraha ( AD 1500)
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    Chapter 37 Addition and Subtraction Theorems for the Sine and the Cosine in Medieval India
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    Chapter 38 Parameśvara’s Rule for the Circum-radius of a Cyclic Quadrilateral
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    Chapter 39 Indian Values of the Sinus Totus
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    Chapter 40 South Indian Achievements in Medieval Mathematics
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    Chapter 41 Munīśvara’s Traditional Sine Table
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    Chapter 42 Prabodh Chandra Sengupta (1876–1962): Historian of Indian Astronomy and Mathematics
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    Chapter 43 Bibhutibhusan Datta (1888–1958): Historian of Indian Mathematics
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    Chapter 44 Review of Pingree’s Census of Exact Sciences in Sanskrit (1992)
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    Chapter 45 Homage to Professor Abraham Seidenberg (1916–1988)
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    Chapter 46 Sudhākara Dvivedī (1855–1910): Historian of Indian Astronomy and Mathematics
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    Chapter 47 Clas-Olof Selenius (1922–1991): An Expert in Indian Cyclic Method
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    Chapter 48 Kripa Shankar Shukla (1918–2007): Veteran Historian of Hindu Astronomy and Mathematics
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    Chapter 49 Obituary—T. A. Sarasvati Amma
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    Chapter 50 The India-Born First President of the London Mathematical Society and His Discovery of Ramachandra
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    Chapter 51 M. Rangacharya and His Century Old Translation of the Gaṇita-sāra-saṅgraha
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    Chapter 52 Indian Astronomy and Mathematics in the Eleventh-Century Spain
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    Chapter 53 Indian Astronomy in West Asia
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    Chapter 54 Spread and Triumph of Indian Numerals
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    Chapter 55 Indian Mathematical Sciences Abroad During Pre-modern Times
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    Chapter 56 Sino-Indian Interaction and the Great Chinese Buddhist Astronomer-Mathematician I-Hsing ( ad  683–727)
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    Chapter 57 Indian Mathematical Sciences in Ancient and Medieval China
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    Chapter 58 Indian Influence on Early Arabic and Persian Writers of Mathematical Sciences
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Title
Gaṇitānanda
Published by
Springer Singapore, November 2018
DOI 10.1007/978-981-13-1229-8
ISBNs
978-9-81-131228-1, 978-9-81-131229-8
Editors

Ramasubramanian, K.

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