Encyclopaedia of the History of Science, Technology, and Medicine
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Secondary Indian Culture and Heritage
Culture: An Introduction MODULE - I Understanding Culture Notes 1 CULTURE: AN INTRODUCTION he English word ‘Culture’ is derived from the Latin term ‘cult or cultus’ meaning tilling, or cultivating or refining and worship. In sum it means cultivating and refining Ta thing to such an extent that its end product evokes our admiration and respect. This is practically the same as ‘Sanskriti’ of the Sanskrit language. The term ‘Sanskriti’ has been derived from the root ‘Kri (to do) of Sanskrit language. Three words came from this root ‘Kri; prakriti’ (basic matter or condition), ‘Sanskriti’ (refined matter or condition) and ‘vikriti’ (modified or decayed matter or condition) when ‘prakriti’ or a raw material is refined it becomes ‘Sanskriti’ and when broken or damaged it becomes ‘vikriti’. OBJECTIVES After studying this lesson you will be able to: understand the concept and meaning of culture; establish the relationship between culture and civilization; Establish the link between culture and heritage; discuss the role and impact of culture in human life. 1.1 CONCEPT OF CULTURE Culture is a way of life. The food you eat, the clothes you wear, the language you speak in and the God you worship all are aspects of culture. In very simple terms, we can say that culture is the embodiment of the way in which we think and do things. It is also the things Indian Culture and Heritage Secondary Course 1 MODULE - I Culture: An Introduction Understanding Culture that we have inherited as members of society. All the achievements of human beings as members of social groups can be called culture. -
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. -
The Influence of Chinese Mathematical Arts on Seki Kowa
THE INFLUENCE OF CHINESE MATHEMATICAL ARTS ON SEKI KOWA b y SHIGERU JOCHI, M.A. (Tokai) Thesis submitted for the degree of Ph.D. School of Oriental and African Studies, University of London. 1 9 9 3 ProQuest Number: 10673061 All rights reserved INFORMATION TO ALL USERS The quality of this reproduction is dependent upon the quality of the copy submitted. In the unlikely event that the author did not send a com plete manuscript and there are missing pages, these will be noted. Also, if material had to be removed, a note will indicate the deletion. uest ProQuest 10673061 Published by ProQuest LLC(2017). Copyright of the Dissertation is held by the Author. All rights reserved. This work is protected against unauthorized copying under Title 17, United States C ode Microform Edition © ProQuest LLC. ProQuest LLC. 789 East Eisenhower Parkway P.O. Box 1346 Ann Arbor, Ml 48106- 1346 ABSTRACT I will consider the influence of Chinese mathematics on Seki Kowa. For this purpose, my thesis is constructed in four parts, introduction, I the studies of editions; Shu Shn Jin Zhang and Yang Uni S u m Fa, II the conception and extension of method for making magic squares, and 1 the analysis for solving indeterminate equations. In the introduction, I will explain some similarities between Chinese mathematics in the Song dynasty and Seki Kowa's works. It will become clear that the latter was influenced by Chinese mathematics. Then I introduce some former opinions concerning which Chinese mathematical book influenced him. I shall show that two Chinese mathematical books, Shn Shn Jin Zhang and Yang Hni S u m Fa, are particularly important. -
A Note on Some Sanskrit Manuscripts on Astronomical Instruments
4.6 A NOTE ON SOME SANSKRIT MANUSCRIPTS ON ASTRONOMICAL INSTRUMENTS Yukio Ohashi (Visiting Scholar) Dept. of Mathematics, University of Lucknow, Lucknow, India. (Permanent address: 3-5-26 Hiroo,Shibuya-ku,Tokyo,Japan) INTRODUCTION The earliest astronomical instruments in India are the sarku (gnomon) and the gha%ika (clepsydra). The former is mentioned in the Sulbasutras, and the latter in the Vedafqajyotisa. Aryabhata described a rotating model of the celestial sphere. After Aryabhata, several instru ments were described by Varahamihira, Brahmagupta,Lalla, Srlpati, and Bhaskara II. After Bhaskara II, some Sanskrit texts specialized on astronomical instruments were composed. The earliest text of this kind is the Yantra-raja (AD 1370) written by Mahendra Suri. It is also the first text on the astrolabe in Sanskrit. After Mahendra Suri, Padmanabha, Cakradhara, Ganesa-Daivajna etc. composed Sanskrit texts on instruments, but most of them remain unpublished. YANTRA-KIRANAVALI OF PADMANABHA Padmanabha composed the Yantra-kirariavaU or Yantra- ratnavali (ca.AD 1400), of which Chapter II entitled Dhruvabhramaria- adhikara is well known1. The dhruvabhramana-yantra is a rectangular board with a slit to observe the "polar fish" (a group of stars around the North Pole) for finding time. The Tagore Library of Lucknow_University has a unique manuscript of its Chapter I, namely the Yantraraja-adhikara. 2 It consists of 11 6 verses and has a commentary, probably written by its author Padmanabha him self . It describes the construction and use of an astrolabe. Padmanabha takes the circumference of the instrument as the diurnal circle of the first point of Cancer, and draws the diurnal circles of the first points of Aries and Capricorn inside. -
From Jantar-Mantar to Kavalur
Registered with the Registrar of Newspapers of India: RN.70269/98 ISSN: 0972-169X Monthly Newsletter of Vigyan Prasar December 15, 1999 Vol. 2 No.3 VP News Inside SCIENCE VIDEOS FROM VIGYAN PRASAR Coverage of science in Indian mass media, especially television, has been very poor. One reason, often heard in media circles, is the absence of a Editorial mechanism to cover stories of latest R&D developments from the science and technology institutions in the country. To bridge the gap between Mass media and R&D institutions, Vigyan Prasar has recently launched a science video Prasanta Chandra feature service on experimental basis. Mahalanobis Six feature stories have been produced last month. Three features on National Bureau of Plant Genetic Resources and three on latest developments from the National Physical Laboratory, New Delhi. The feature stories cover From Jantar-Mantar the profile of the largest gene bank in the world - the NBPGR, various Ex-situ techniques to conserve seeds and a report on the plant quarantine division. to Kavalur The stories from NPL cover the 'Teleclock' service to transmit Time Data digitally through a telephone line, the SODAR - Sound Detection and flanging technique for air pollution management and the piezoelectric Accelerometer The Story of Wool PL-810 to measure vibrations. R&D organizations may write to us for covering interesting Research and Development works happening in their laboratories. Delhi's Water and Solid Waste Management: Emerging Scenario Vigyan Prasar has launched a series on India's Environmental Hotspots. The latest publication in this series is on Delhi's water and waste management scenario. -
History of Science and Technology in India
DDCE/History (M.A)/SLM/Paper HISTORY OF SCIENCE AND TECHNOLOGY IN INDIA By Dr. Binod Bihari Satpathy 1 CONTENT HISTORY OF SCIENCE AND TECHNOLOGY IN INDIA Unit.No. Chapter Name Page No Unit-I. Science and Technology- The Beginning 1. Development in different branches of Science in Ancient India: 03-28 Astronomy, Mathematics, Engineering and Medicine. 2. Developments in metallurgy: Use of Copper, Bronze and Iron in 29-35 Ancient India. 3. Development of Geography: Geography in Ancient Indian Literature. 36-44 Unit-II Developments in Science and Technology in Medieval India 1. Scientific and Technological Developments in Medieval India; 45-52 Influence of the Islamic world and Europe; The role of maktabs, madrasas and karkhanas set up. 2. Developments in the fields of Mathematics, Chemistry, Astronomy 53-67 and Medicine. 3. Innovations in the field of agriculture - new crops introduced new 68-80 techniques of irrigation etc. Unit-III. Developments in Science and Technology in Colonial India 1. Early European Scientists in Colonial India- Surveyors, Botanists, 81-104 Doctors, under the Company‘s Service. 2. Indian Response to new Scientific Knowledge, Science and 105-116 Technology in Modern India: 3. Development of research organizations like CSIR and DRDO; 117-141 Establishment of Atomic Energy Commission; Launching of the space satellites. Unit-IV. Prominent scientist of India since beginning and their achievement 1. Mathematics and Astronomy: Baudhayan, Aryabhtatta, Brahmgupta, 142-158 Bhaskaracharya, Varahamihira, Nagarjuna. 2. Medical Science of Ancient India (Ayurveda & Yoga): Susruta, 159-173 Charak, Yoga & Patanjali. 3. Scientists of Modern India: Srinivas Ramanujan, C.V. Raman, 174-187 Jagdish Chandra Bose, Homi Jehangir Bhabha and Dr. -
The Indian Contributions 18
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 A-4, First Floor, Gulmohar Park, New Delhi- 110 049 Fourth Edition 2019 Contents Preface ..................................................................................................vii Vidyarthi Vigyan Manthan (VVM Edition – VIII) 2019-20......... 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 Knowledge on ........................................69 -
The Nine Chapters on the History of Chinese Mathematics
The Nine Chapters on the History of Chinese Mathematics Rik Brandenburg¤ Keimpe Nevenzeely 15 July 2007 Abstract This article explores Chinese mathematics from the ¯rst archeological evidence of numbers on oracle bones (14th century BC) to the time Chi- nese mathematics became a part universal mathematics (halfway the 19th century AD). First a concise overview of Chinese history and in philosophy is given. The ethical oriented Confucianism was the dominant philosophy and con- sequently little attention was given to the natural world, hindering the development of natural sciences and mathematics. Due to historical and philosophical reasons, Chinese mathematics took quite a di®erent path than its Western counterpart: Chinese mathematics was focused on alge- bra and practical applications instead of geometry and theoretical reason- ing. The Nine Chapters on the Mathematical Art (ca. 1st century AD) is by far the most influential work: it would shape Chinese mathematics for centuries to come. Between the 3rd and the 11th century AD, Bud- dhist and Indian ideas got a ¯rm grip on China, yet curiously Chinese mathematics is barely influenced. In the `Chinese Renaissance' and the subsequent Mongol occupation between the 12th and 14th century Chinese mathematics will reach its zenith. In the 15th and 16th centuries mathematical development waned and important achievements were forgotten. Only after the arrival of Eu- ropean missionary-scientists at the end of the 16th and during the 17th century mathematics made progress again. The Opium Wars of the 19th century mark the end of the classical China and the indigenous Chinese mathematics would be assimilated by universal mathematics. -
Mathematicians Timeline
Rikitar¯oFujisawa Otto Hesse Kunihiko Kodaira Friedrich Shottky Viktor Bunyakovsky Pavel Aleksandrov Hermann Schwarz Mikhail Ostrogradsky Alexey Krylov Heinrich Martin Weber Nikolai Lobachevsky David Hilbert Paul Bachmann Felix Klein Rudolf Lipschitz Gottlob Frege G Perelman Elwin Bruno Christoffel Max Noether Sergei Novikov Heinrich Eduard Heine Paul Bernays Richard Dedekind Yuri Manin Carl Borchardt Ivan Lappo-Danilevskii Georg F B Riemann Emmy Noether Vladimir Arnold Sergey Bernstein Gotthold Eisenstein Edmund Landau Issai Schur Leoplod Kronecker Paul Halmos Hermann Minkowski Hermann von Helmholtz Paul Erd}os Rikitar¯oFujisawa Otto Hesse Kunihiko Kodaira Vladimir Steklov Karl Weierstrass Kurt G¨odel Friedrich Shottky Viktor Bunyakovsky Pavel Aleksandrov Andrei Markov Ernst Eduard Kummer Alexander Grothendieck Hermann Schwarz Mikhail Ostrogradsky Alexey Krylov Sofia Kovalevskya Andrey Kolmogorov Moritz Stern Friedrich Hirzebruch Heinrich Martin Weber Nikolai Lobachevsky David Hilbert Georg Cantor Carl Goldschmidt Ferdinand von Lindemann Paul Bachmann Felix Klein Pafnuti Chebyshev Oscar Zariski Carl Gustav Jacobi F Georg Frobenius Peter Lax Rudolf Lipschitz Gottlob Frege G Perelman Solomon Lefschetz Julius Pl¨ucker Hermann Weyl Elwin Bruno Christoffel Max Noether Sergei Novikov Karl von Staudt Eugene Wigner Martin Ohm Emil Artin Heinrich Eduard Heine Paul Bernays Richard Dedekind Yuri Manin 1820 1840 1860 1880 1900 1920 1940 1960 1980 2000 Carl Borchardt Ivan Lappo-Danilevskii Georg F B Riemann Emmy Noether Vladimir Arnold August Ferdinand -
M.Phil. Mathematics Syllabus 17MAT701 Research Methodology
M.Phil. Mathematics Syllabus 17MAT701 Research Methodology 3-1-0-4 This course comprises of topics of research methodology in general, methodology of research in Mathematics, methodology of teaching Higher Mathematics, modern tools for teaching and research and Ethics in research. 1.1 Research 1.1.1. General introduction to research methodology Meaning and objective of scientific research, Types and significance of research, Methods of scientific research, Research process and criteria for good research, Stages of research. Reference : Research Methodology, by C.R. Kothari et al. 1.1.2. Methodology of Research in Mathematics Identifying a broad area. Collecting materials for deep understanding of fundamentals as well as recent findings. Identifying an area for in-depth study. Collecting and reading as many documents as possible. Studying recent research findings and trying solutions independently. Fixing exact problem/concept or research. 1.1.3. Information Resources and Publication This section deals with the sources of information. Classical sources, Modern sources, availability of online resources (free and subscribed), Accessibility of Journals and other print documents. Needs, ways and means of publication of research findings. 1.2 Teaching and learning 1.2.1. Modern and classical methods and techniques of teaching. Teaching of Higher Mathematics. Challenges and opportunities. Difficulties in teaching and learning Mathematics. Traditional and Modern approaches. Teaching techniques, proof techniques-inductive reasoning, deductive reasoning, contrapositive, counter examples. 1.2.2. Innovative Methods of Teaching and Learning. * Graphing and computation (KMPlot, Geogebra, Scilab, SageMath, GGAP and R) * Document preparation (LaTeX) * Presentation (Beamer) 1.3 Ethics in research 1.3.1. Piracy and Plagiarism. -
The Development of Polynomial Equations in Traditional China(Lam
THE DEVELOPMENT OF POLYNOMIAL EQUATIONS * IN TRADITIONAL CHINA Lam Lay Yong National University of Singapore When we use the term "polynomial equation", our mind conditioned with sets of mathematical notations will immediately conceptualize an equation of the form In the ancient world, where mathematical symbols were non existent and mathematical expressions were in a verbalized form, how was, for instance, a quadratic equation initially conceptualized? And after the equation was formed, how was it solved? In this lecture, I shall be giving you a general survey of the development of such equations in China from antiquity to the early 14th century. Square roots and quadratic equations Among the existing texts on Chinese mathematics, the two earliest are the Zhou bi suanjing [a] (The arithmetic classic of the gnomon and the circular paths of heaven) and the Jiu zhang suanshu [b] (Nine chapters on the mathematical art). A conservative dating of the former would be around 100 BC while the latter is generally placed between 100 BC and 100 AD. It is well known that the Zhou bi suanjing contains a description of the hypotenuse diagram or xian tu [c] (see Fig. 1) which depicts * Text of Presidential Address deliverd at the Annual General Meeting of the Singapore Mathematical Society on 19 March 1986. 9 Fig. 1 K ~ ,I ...... J I " ' G J ~ A v H I // r. J r / b "" " .... ~ "" ~ r 1 8 c 0 a~E Fig. 2 10 one of the earliest proofs of Pythagoras theorem. However, it is not so well known that this diagram also provides one of the earliest examples in Chinese mathematics on the formulation and concept of a quadratic equation. -
Canon and Commentary in Ancient China: an Outlook Based on Mathematical Sources
MAX-PLANCK-INSTITUT FÜR WISSENSCHAFTSGESCHICHTE Max Planck Institute for the History of Science 2008 PREPRINT 344 Karine Chemla Canon and commentary in ancient China: An outlook based on mathematical sources CANON AND COMMENTARY IN ANCIENT CHINA: AN OUTLOOK BASED ON MATHEMATICAL SOURCES Karine Chemla* REHSEIS CNRS & Université Paris 7 Some decades after the unification of the Chinese Empire, the compilation of a mathematical book, The Nine Chapters on Mathematical Procedures (Jiuzhang suanshu) (hereafter The Nine Chapters), that was to have a singular fate in China began. A few centuries after its completion in the first century BCE or CE,1 the book came to be referred to as a “Canon” (jing), and even, later on during the Song dynasty, as the most important of all mathematical Canons. * This paper is the reworked version of a talk presented at a workshop organized by Professor Kim Yung Sik on the topic “Critical Problems in the History of East Asian Science” and held at the Dibner Institute November 16–18, 2001. It is my pleasure to thank Professor Kim Yung Sik for having invited me to take part in the workshop and for his remarks on a first version of this paper. I am also grateful for the comments Sir Professor Geoffrey Lloyd sent me, which helped clarify some points that had remained obscure. Last but not least, I wish to express my thanks to all the participants in the workshop and to Bruno Belhoste for the discussions that helped me improve my understanding of the problem tackled in this paper. The final version was completed during the stay I made at the Max Planck Institut für Wissenschaftsgeschichte, in the summer 2007.