Algorithms for the Computation of Sine and Cosine Functions1
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Indian Contribution to Science
196 Indian Contributions to Science INDIANINDIAN CONTRIBUTIONSCONTRIBUTIONS TOTO SCIENCESCIENCE Compiled By Vijnana Bharati Indian Contributions To Science Indian Contributions To Science Compiled by Vijnana Bharati All rights reserved. No part of the publication may be reproduced in whole or in part, or stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical photocopying, recording, or otherwise without the written permission of the publisher. For information regarding permission, write to: Vijnana Bharati C-486, Defence Colony, New Delhi- 110 024 Second Edition 2017 Contents Preface ..................................................................................................vii Vidyarthi Vigyan Manthan (VVM Edition – VI) 2017-18 ........... ix Acknowledgement .................................................................................xi 1. India’s Contribution to Science and Technology .................1 (From Ancient to Modern) 2. Astronomy in India ...................................................................9 3. Chemistry in India: A Survey ................................................20 4. The Historical Evolution of....................................................30 Medicinal Tradition in Ancient India 5. Plant and Animal Science in Ancient India .........................39 6. Mathematics in India ..............................................................46 7. Metallurgy in India .................................................................58 8. Indian Traditional -
Dr. C. Anilkumar
PROFILE OF SCIENTIST/RESEARCH WORKER Name: Dr.Anilkumar C Address: Principal Scientific Officer, Kerala State Biodiversity Board, Pallimukku, Pettah, Thiruvananthapuram - 695024 Telephone: 9847090193 E-mail: [email protected] Qualification Ph.D. in Botany Area(s) of Specialization: Seaweeds Occupation/Designation: Principal Scientific Officer, Kerala State Biodiversity Board Major Activities : Biodiversity Conservation Awards/Recognitions My Resume is attached for your kind perusal RESUME NAME : ANIL KUMAR. C DATE OF BIRTH : 16-05-1966. ADDRESS FOR COMMUNICATION : Nandhanam, GSSNRA - 252, NCC Road Peroorkada.P.O, Thiruvananthapuram India. Pin – 695005. e-mail: [email protected] Ph.009847090193 FAMILY STATUS : MARRIED. NATIONALITY : INDIAN. QUALIFICATIONS & TRAINING ATTENDED Degree Subjects Year of passing B. Sc Botany, Chemistry and Zoology 1986 (First class) M.Sc Botany 1988 (First class) Ph.D. Taxonomy (Marine Algae) January 1995. Lectureship Life Sciences April 1996. C 0312004& ICT Tools for e-Readiness in Government July, September,2004 C 0412004 .Module I & II Certificate in Application of Geoinformatics in the Water September, 2005 Geoinformaitics Sector. Training Need Science Management August 2011 Analysis (TNA) EXPERIENCE : Designation Organisation Period Member Convenor, Kerala State Council for Science, 2011-2012 24 th Kerala Science Technology and Environment Cogress Programme Officer Kerala Biotechnology Commission, 01.09.2011 – presently Government of Kerala working Scientific Officer Kerala State Council for Science, 05.10.2008 to Technology and Environment 31.08.2011 Principal Scientific Kerala State Biodiversity Board 05.10.2007 to04.10.2008 Officer Scientific Officer Kerala State Council for Science, 12.12.2005 to Technology and Environment 05.09.2007 Botanical Survey of India, Government 06-11-2002 to Scientist of India. -
Manoj M.G., Ph.D
Manoj M.G., Ph.D. Scientist - D Advanced Centre for Atmospheric Radar Research Cochin University of Science and Technology Cochin-682022, Kerala, India E-mail: [email protected] +91-9497644055 Education: Ph.D., 2012: Atmospheric and Space Science, IITM, University of Pune, India M.Sc., 2005: Meteorology, Cochin University of Science and Technology, India (CGPA=7.38) B.Sc., 2003: Physics, Kannur University, Kerala, India (Marks = 80.2%) Pre-Degree, 2000: Physics, Maths, Chemistry, University of Calicut, India (Marks = 74.5%) Matriculation, 1998: Board of Public Exams, Kerala, India (Marks = 91.3%) Employment History: Scientist - D, 2019-Present, ACARR, Cochin Univ. of Science & Tech., Kerala, India Research Scientist, 2015-2019, ACARR, Cochin Univ. of Science & Tech., Kerala, India. Post-Doctoral Research Associate, 2013-2014, ESSIC, University of Maryland, USA. Project Scientist, 2012-2013, Indian Institute of Tropical Meteorology, Pune, India. Scientific Associate, 2010-2012, HPC, Indian Institute of Tropical Meteorology, India. Senior Research Fellow-CSIR, 2006-2010, Indian Inst. of Tropical Meteorology, India. Junior Research Fellow, 2005-2006, CAOS, Indian Institute of Science, Bangalore, India. Research Interests: Tropical Meteorology, Monsoon Dynamics and Thermodynamics, Remote-Sensing, Aerosol and Cloud Physics, Air Pollution and Climate Change, Simple Atmospheric Models. Acting as Resource Person for climate related issues and training in Kerala. Peer-Reviewed Publications: International: 28 National: 02 Under Review: 04 -
1. Essent Vol. 1
ESSENT Society for Collaborative Research and Innovation, IIT Mandi Editor: Athar Aamir Khan Editorial Support: Hemant Jalota Tejas Lunawat Advisory Committee: Dr Venkata Krishnan, Indian Institute of Technology Mandi Dr Varun Dutt, Indian Institute of Technology Mandi Dr Manu V. Devadevan, Indian Institute of Technology Mandi Dr Suman, Indian Institute of Technology Mandi AcknowledgementAcknowledgements: Prof. Arghya Taraphdar, Indian Institute of Technology Kharagpur Dr Shail Shankar, Indian Institute of Technology Mandi Dr Rajeshwari Dutt, Indian Institute of Technology Mandi SCRI Support teamteam:::: Abhishek Kumar, Nagarjun Narayan, Avinash K. Chaudhary, Ankit Verma, Sourabh Singh, Chinmay Krishna, Chandan Satyarthi, Rajat Raj, Hrudaya Rn. Sahoo, Sarvesh K. Gupta, Gautam Vij, Devang Bacharwar, Sehaj Duggal, Gaurav Panwar, Sandesh K. Singh, Himanshu Ranjan, Swarna Latha, Kajal Meena, Shreya Tangri. ©SOCIETY FOR COLLABORATIVE RESEARCH AND INNOVATION (SCRI), IIT MANDI [email protected] Published in April 2013 Disclaimer: The views expressed in ESSENT belong to the authors and not to the Editorial board or the publishers. The publication of these views does not constitute endorsement by the magazine. The editorial board of ‘ESSENT’ does not represent or warrant that the information contained herein is in every respect accurate or complete and in no case are they responsible for any errors or omissions or for the results obtained from the use of such material. Readers are strongly advised to confirm the information contained herein with other dependable sources. ESSENT|Issue1|V ol1 ESSENT Society for Collaborative Research and Innovation, IIT Mandi CONTENTS Editorial 333 Innovation for a Better India Timothy A. Gonsalves, Director, Indian Institute of Technology Mandi 555 Research, Innovation and IIT Mandi 111111 Subrata Ray, School of Engineering, Indian Institute of Technology Mandi INTERVIEW with Nobel laureate, Professor Richard R. -
BOOK REVIEW a PASSAGE to INFINITY: Medieval Indian Mathematics from Kerala and Its Impact, by George Gheverghese Joseph, Sage Pu
HARDY-RAMANUJAN JOURNAL 36 (2013), 43-46 BOOK REVIEW A PASSAGE TO INFINITY: Medieval Indian Mathematics from Kerala and its impact, by George Gheverghese Joseph, Sage Publications India Private Limited, 2009, 220p. With bibliography and index. ISBN 978-81-321-0168-0. Reviewed by M. Ram Murty, Queen's University. It is well-known that the profound concept of zero as a mathematical notion orig- inates in India. However, it is not so well-known that infinity as a mathematical concept also has its birth in India and we may largely credit the Kerala school of mathematics for its discovery. The book under review chronicles the evolution of this epoch making idea of the Kerala school in the 14th century and afterwards. Here is a short summary of the contents. After a brief introduction, chapters 2 and 3 deal with the social and mathematical origins of the Kerala school. The main mathematical contributions are discussed in the subsequent chapters with chapter 6 being devoted to Madhava's work and chapter 7 dealing with the power series for the sine and cosine function as developed by the Kerala school. The final chapters speculate on how some of these ideas may have travelled to Europe (via Jesuit mis- sionaries) well before the work of Newton and Leibniz. It is argued that just as the number system travelled from India to Arabia and then to Europe, similarly many of these concepts may have travelled as methods for computational expediency rather than the abstract concepts on which these algorithms were founded. Large numbers make their first appearance in the ancient writings like the Rig Veda and the Upanishads. -
Transmission of the Calculus from Kerala to Europe Part 1: Motivation and Opportunity
Transmission of the Calculus from Kerala to Europe Part 1: Motivation and Opportunity Aryabhata Group1 School of Education University of Exeter It is by now widely recognised2 that the calculus had already developed in India in the works of the mathematicians and astronomers of the Aryabhata school: Madhava, Nilkantha (Tantrasangraha), Jyeshtadeva (Yuktibhasa) etc, between the 14th and 16th centuries CE. These developments included infinite “Gregory/Taylor” series for sine, cosine and arctan functions,3 with accurate remainder terms, and a numerically efficient algorithm, leading to a 9 decimal-place precision table for sines and cosines stated in sexagesimal katapayadi notation in two verses found also in the widely distributed KaranaPaddhati of Putumuna Somayaji.4 The development also included the calculation of complex derivatives like that of arcsin (p sin x) (Tantrasangraha 1 The Aryabhata Group acknowledges financial support from the School of Education, University of Exeter, in the work that led to this paper. 2 A.P. Jushkevich, Geschichte der Matematik im Mittelater German translation, Leipzig, 1964, of the original, Moscow, 1961. Victor J. Katz, A History of Mathematics: An Introduction, HarperCollinsCollegePublishers, 1992. Srinivasiengar, The History of Ancient Indian Mathematics, World Press, Calcutta, 1967, A. K. Bag. Mathematics in Ancient and Medieval India, Chaukhambha Orientalia, Delhi, 1979. A popular account may be found in G. G. Joseph, The Crest of the Peacock: non-European Roots of Mathematics, Penguin, 1992. 3 The version of the TantraSangraha which has been recently serialised (K. V. Sarma ed) together with its English translation (V. S. Narasimhan Tr.) in the Indian Journal of History of Science (issue starting Vol. -
Mathematics Newsletter Volume 21. No4, March 2012
MATHEMATICS NEWSLETTER EDITORIAL BOARD S. Ponnusamy (Chief Editor) Department of Mathematics Indian Institute of Technology Madras Chennai - 600 036, Tamilnadu, India Phone : +91-44-2257 4615 (office) +91-44-2257 6615, 2257 0298 (home) [email protected] http://mat.iitm.ac.in/home/samy/public_html/index.html S. D. Adhikari G. K. Srinivasan Harish-Chandra Research Institute Department of Mathematics, (Former Mehta Research Institute ) Indian Institute of Technology Chhatnag Road, Jhusi Bombay Allahabad 211 019, India Powai, Mumbai 400076, India [email protected] [email protected] C. S. Aravinda B. Sury, TIFR Centre for Applicable Mathematics Stat-Math Unit, Sharadanagar, Indian Statistical Institute, Chikkabommasandra 8th Mile Mysore Road, Post Bag No. 6503 Bangalore 560059, India. Bangalore - 560 065 [email protected], [email protected] [email protected] M. Krishna G. P. Youvaraj The Institute of Mathematical Sciences Ramanujan Institute CIT Campus, Taramani for Advanced Study in Mathematics Chennai-600 113, India University of Madras, Chepauk, [email protected] Chennai-600 005, India [email protected] Stefan Banach (1892–1945) R. Anantharaman SUNY/College, Old Westbury, NY 11568 E-mail: rajan−[email protected] To the memory of Jong P. Lee Abstract. Stefan Banach ranks quite high among the founders and developers of Functional Analysis. We give a brief summary of his life, work and methods. Introduction (equivalent of middle/high school) there. Even as a student Stefan revealed his talent in mathematics. He passed the high Stefan Banach and his school in Poland were (among) the school in 1910 but not with high honors [M]. -
Nptel Course on Mathematics in India: from Vedic Period
NPTEL COURSE ON MATHEMATICS IN INDIA: FROM VEDIC PERIOD TO MODERN TIMES Lecture 40 Mathematics in Modern India 2 M. D. Srinivas Centre for Policy Studies, Chennai 1 Outline I Rediscovering the Tradition (1900-1950) I Rediscovering the Tradition (1950-2010) I Modern Scholarship on Indian Mathematics (1900-2010) I Development of Higher Education in India (1900-1950) I Development of Scientific Research in India (1900-1950) I Development of Modern Mathematics in India (1910-1950) I Development of Modern Mathematics in India (1950-2010) I Development of Higher Education in India (1950-2010) I Halting Growth of Higher Education and Science in India (1980-2010) I Halting Growth of Mathematics in India (1980-2010) 2 Rediscovering the Tradition (1900-1950) Several important texts of Indian mathematics and astronomy were published in the period 1900-1950. Harilal Dhruva published the Rekh¯agan. ita, translation of Euclid from Tusi’s Persian version (Bombay 1901). Vindhyesvari Prasad Dvivedi published some of the ancient siddh¯antas in Jyotis.asiddh¯anta-sa_ngraha (Benares 1912). Babuaji Misra edited the Khan. d. akh¯adyaka of Brahmagupta with Amarja¯ ’s commentary (Calcutta 1925) and Siddh¯anta´sekhara of Sr¯ıpati´ with Makkibhat.t.a’s commentary (Calcutta 1932, 47). Padmakara Dvivedi, edited Gan. itakaumud¯ı of N¯ar¯ayan. a Pan. d. ita in two volumes (1936, 1942). Gopinatha Kaviraja edited the Siddh¯antas¯arvabhauma of Mun¯ı´svara, 2 Vols. (Benares 1933, 3); 3rd Vol. Ed. by Mithalal Ojha (Benres 1978) Kapadia edited the Gan. itatilaka of Sr¯ıdhara´ with commentary (Gaekwad Oriental Series 1935) 3 Rediscovering the Tradition (1900-1950) Several important works were published from the Anand¯a´srama¯ Pune: Karan. -
NAAC Re-Accreditation Self Study Report
UNIVERSITY COLLEGE THIRUVANANTHAPURAM - 695 034 SELF STUDY REPORT SUBMITTED FOR REACCREDITATION TO NATIONAL ASSESSMENT AND ACCREDITATION COUNCIL BANGALORE - 560 072 2 NAAC Re-Accreditation Committee University College, Thiruvananthapuram Dr. B. S. Mohanachandran (Principal) Patron (Ex-officio) Dr. R. Anilkumar (Dept. of Geography) General Convenor Dr. K. P. Jaikiran (Dept. of Geology) Co-ordinator, IQAC Members Dr.S. Unnikrishnan Nair - (Vice-Principal) Sri. G. Rajeev - (Dept. of Chemistry) Sri. K. Gopalakrishnan - (Dept. of English) Dr. Thomas Kuruvilla - (Dept. of English) Dr. Francis Sunny - (Dept. of Zoology) Dr. Philip Samuel - (Dept. of Statistics) Sri. M.B. Salim - (Dept. of Geography) Sri. P. Surendran - (Dept. of Physical Education) 3 Contents Page No. PREFACE Part I - INSTITUTIONAL DATA 01 - 44 Profile of the Institution Criterion wise input Profiles of the departments Part II - EVALUATIVE REPORT 45 – 400 Stand out facts Executive summary Criterion wise evaluative report Evaluative report of Departments Declaration by the Principal 4 PREFACE University College, Thiruvananthapuram (estd.1866) occupies a position of eminence among the colleges in the state of Kerala and that of a hallowed alma mater among the millions of students, including luminaries like the late Dr K R Narayanan, the former President of India and Dr. G Madhavan Nair, former Director, Indian Space Research Organisation. The college, situated in the heart of Trivandrum, the capital city of Kerala is unique in more than one respect: more than sixty per cent of its teachers are research degree holders; the college has fourteen research departments offering M.Phil. and PhD; and its student strength of 3200* includes enrolment from all social classes. -
The Kriyākramakarī's Integrative Approach to Mathematical Knowledge
History of Science in South Asia A journal for the history of all forms of scientific thought and action, ancient and modern, in all regions of South Asia The Kriyākramakarī’s Integrative Approach to Mathematical Knowledge Roy Wagner Eidgenössische Technische Hochschule Zürich MLA style citation form: Roy Wagner. “The Kriyākramakarī’s Integrative Approach to Mathematical Knowl- edge.” History of Science in South Asia, 6 (2018): 84–126. doi: 10.18732/hssa.v6i0.23. Online version available at: http://hssa-journal.org HISTORY OF SCIENCE IN SOUTH ASIA A journal for the history of all forms of scientific thought and action, ancient and modern, inall regions of South Asia, published online at http://hssa-journal.org ISSN 2369-775X Editorial Board: • Dominik Wujastyk, University of Alberta, Edmonton, Canada • Kim Plofker, Union College, Schenectady, United States • Dhruv Raina, Jawaharlal Nehru University, New Delhi, India • Sreeramula Rajeswara Sarma, formerly Aligarh Muslim University, Düsseldorf, Germany • Fabrizio Speziale, Université Sorbonne Nouvelle – CNRS, Paris, France • Michio Yano, Kyoto Sangyo University, Kyoto, Japan Publisher: History of Science in South Asia Principal Contact: Dominik Wujastyk, Editor, University of Alberta Email: ⟨[email protected]⟩ Mailing Address: History of Science in South Asia, Department of History and Classics, 2–81 HM Tory Building, University of Alberta, Edmonton, AB, T6G 2H4 Canada This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. Copyrights of all the articles rest with the respective authors and published under the provisions of Creative Commons Attribution-ShareAlike 4.0 License. -
An Anecdote on Mādhava School of Mathematics
Insight: An International Journal for Arts and Humanities Peer Reviewed and Refereed Vol: 1; Issue: 3 ISSN: 2582-8002 An Anecdote on Mādhava School of Mathematics Athira K Babu Research Scholar, Department of Sanskrit Sahitya, Sree Sankaracharya University of Sanskrit, Kalady, Abstract The Sanskrit term ‘Gaṇitaśāstra’, meaning literally the “science of calculation” is used for mathematics. The mathematical tradition of ancient India is an ocean of knowledge that is dealing with many topics such as the Vedic, Jain and Buddhist traditions, the mathematical astronomy, The Bhakshali manuscripts, The Kerala School of mathematics and the like. Thus India has made a valuable contribution to the world of mathematics. The origin and development of Indian mathematics are connected with Jyotiśāstra1. This paper tries to deconstructing the concept of mathematical tradition of Kerala with respect to Niḷā valley civilization especially under the background of medieval Kerala and also tries to look into the Mādhava School of mathematics through the life and works of great mathematician Mādhava of Saṅgamagrāma and his pupils who lived in and around the river Niḷā. Keywords: Niḷā, Literature review, Mathematical Tradition of medieval Kerala, Mādhava of Saṅgamagrāma, Great lineage of Mādhava. Introduction Niḷā, the Nile of Kerala is famous for the great ‘Māmāṅkam’ festival. The word ‘Niḷā’point out a culture more than just a river. It has a great role in the formation of the cultural life of south Malabar part of Kerala. It could be seen that the word ‘Peraar’ indicating the same river in ancient scripts and documents. The Niḷā is the life line of many places such as Chittur, Ottappalam, Shornur, Cheruthuruthy, Pattambi, Thrithala, Thiruvegappura, Kudallur, Pallippuram, Kumbidi, 1 The Sanskrit word used for Astronomy is Jyotiśāstra. -
Serilerin Ortaya Çikişi: Arşimet Ve Madhava Örneği
SERİLERİN ORTAYA ÇIKIŞI: ARŞİMET VE MADHAVA ÖRNEĞİ Yüksek Lisans Tezi Emre İNCEKALAN Eskişehir 2018 SERİLERİN ORTAYA ÇIKIŞI: ARŞİMET VE MADHAVA ÖRNEĞİ Emre İNCEKALAN YÜKSEK LİSANS TEZİ Matematik Anabilim Dalı Danışman: Prof. Dr. Bünyamin DEMİR Eskişehir Anadolu Üniversitesi Fen Bilimleri Enstitüsü Haziran 2018 JÜRİ VE ENSTİTÜ ONAYI Emre İNCEKALAN’ın “Serilerin Ortaya Çıkışı: Arşimet ve Madhava Örneği” başlıklı tezi 07/06/2018 tarihinde aşağıdaki jüri tarafından değerlendirilerek “Anadolu Üniversitesi Lisansüstü Eğitim-Öğretim ve Sınav Yönetmeliği”nin ilgili maddeleri uyarınca, Matematik Anabilim dalında Yüksek Lisans tezi olarak kabul edilmiştir. Jüri Üyeleri Unvanı Adı Soyadı İmza Üye (Tez Danışmanı) : Prof. Dr. Bünyamin DEMİR ……………………………… Üye : Prof. Dr. Ziya AKÇA ……………………………… Üye : Doç. Dr. Yunus ÖZDEMİR ……………………………… Prof. Dr. Ersin YÜCEL Fen Bilimleri Enstitüsü Müdürü ÖZET SERİLERİN ORTAYA ÇIKIŞI:ARŞİMET VE MADHAVA ÖRNEĞİ Emre İNCEKALAN Matematik Anabilim Dalı Anadolu Üniversitesi Fen Bilimleri Enstitüsü, Haziran 2018 Danışman: Prof. Dr. Bünyamin DEMİR Bu tezde, Arşimed’in bir parabol kesiminin alanını hesaplama yöntemi ve Madhava’nın seriler konusundaki çalışmaları, özellikle 휋 sayısını serilerle hesaplama yöntemi incelenmiştir. Bununla birlikte farklı medeniyetlerin serilerle ilgili yaklaşımlarına örnekler verilmiştir. Seriler XIX. yüzyıla gelininceye kadar farklı medeniyetlerde emekleme denilebilecek tarzda uygulama alanları bulmuştur. Örneğin Mısırlılarda ve Mezopotamyalılardaki serileri çağrıştıran örnekler incelendikten sonra,