Gaṇita Bhāratī

Author : Anonim
Publisher : Unknown
Page : 136 pages
File Size : 54,7 Mb
Release : 2000
Category : Mathematics
ISBN : UOM:39015057341599

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Gaṇita Bhāratī by Anonim Pdf

Author : K. Ramasubramanian
Publisher : Springer Nature
Page : 639 pages
File Size : 54,7 Mb
Release : 2019-11-08
Category : Mathematics
ISBN : 9789811312298

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Gaṇitānanda by K. Ramasubramanian Pdf

This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta—a doyen of history of mathematics—written on a variety of important topics pertaining to mathematics and astronomy in India. It is divided into ten parts. Part I presents three articles offering an overview of Professor Gupta’s oeuvre. The four articles in Part II convey the importance of studies in the history of mathematics. Parts III–VII constituting 33 articles, feature a number of articles on a variety of topics, such as geometry, trigonometry, algebra, combinatorics and spherical trigonometry, which not only reveal the breadth and depth of Professor Gupta’s work, but also highlight his deep commitment to the promotion of studies in the history of mathematics. The ten articles of part VIII, present interesting bibliographical sketches of a few veteran historians of mathematics and astronomy in India. Part IX examines the dissemination of mathematical knowledge across different civilisations. The last part presents an up-to-date bibliography of Gupta’s work. It also includes a tribute to him in Sanskrit composed in eight verses.

Author : Jan P. Hogendijk,Kim Plofker,Michio Yano,Charles Burnett
Publisher : BRILL
Page : 908 pages
File Size : 47,7 Mb
Release : 2004-02-01
Category : Philosophy
ISBN : 9789047412441

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Studies in the History of the Exact Sciences in Honour of David Pingree by Jan P. Hogendijk,Kim Plofker,Michio Yano,Charles Burnett Pdf

This collection of essays reflects the wide range of David Pingree's expertise in the scientific texts (above all, concerning astronomy and astrology) of Ancient Mesopotamia, Greece, India, Persia, and the medieval Arabic, Hebrew and Latin traditions. Both theoretical aspects and the practical applications of the exact sciences-in time keeping, prediction of the future, and the operation of magic-are dealt with. The book includes several critical editions and translations of hitherto unknown or understudied texts, and a particular emphasis is on the diffusion of scientific learning from one culture to another, and through time. Above all, the essays show the variety and sophistication of the exact sciences in non-Western societies in pre-modern times.

Author : C. S. Seshadri
Publisher : Springer
Page : 395 pages
File Size : 46,7 Mb
Release : 2010-08-15
Category : Mathematics
ISBN : 9789386279491

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Studies in the History of Indian Mathematics by C. S. Seshadri Pdf

This volume is the outcome of a seminar on the history of mathematics held at the Chennai Mathematical Institute during January-February 2008 and contains articles based on the talks of distinguished scholars both from the West and from India. The topics covered include: (1) geometry in the oulvasatras; (2) the origins of zero (which can be traced to ideas of lopa in Paoini's grammar); (3) combinatorial methods in Indian music (which were developed in the context of prosody and subsequently applied to the study of tonal and rhythmic patterns in music); (4) a cross-cultural view of the development of negative numbers (from Brahmagupta (c. 628 CE) to John Wallis (1685 CE); (5) Kunnaka, Bhavana and Cakravala (the techniques developed by Indian mathematicians for the solution of indeterminate equations); (6) the development of calculus in India (covering the millennium-long history of discoveries culminating in the work of the Kerala school giving a complete analysis of the basic calculus of polynomial and trigonometrical functions); (7) recursive methods in Indian mathematics (going back to Paoini's grammar and culminating in the recursive proofs found in the Malayalam text Yuktibhaua (1530 CE)); and (8) planetary and lunar models developed by the Kerala School of Astronomy. The articles in this volume cover a substantial portion of the history of Indian mathematics and astronomy. This book will serve the dual purpose of bringing to the international community a better perspective of the mathematical heritage of India and conveying the message that much work remains to be done, namely the study of many unexplored manuscripts still available in libraries in India and abroad.

Author : Bhāskara,Agathe Keller
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 52,9 Mb
Release : 2006-03-17
Category : Mathematics
ISBN : 9783764372927

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Expounding the Mathematical Seed. Vol. 2: The Supplements by Bhāskara,Agathe Keller Pdf

In the 5th century, the Indian mathematician Aryabhata wrote a small but famous work on astronomy in 118 verses called the Aryabhatiya. Its second chapter gives a summary of Hindu mathematics up to that point, and 200 years later, the Indian astronomer Bhaskara glossed that chapter. Volume 1 of this work was an English translation of Bhaskara’s commentary, and this volume contains explanations for each verse commentary translated in volume 1.

Author : Aditya Kolachana,K. Mahesh,K. Ramasubramanian
Publisher : Springer
Page : 742 pages
File Size : 43,6 Mb
Release : 2019-05-29
Category : Mathematics
ISBN : 9789811373268

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Studies in Indian Mathematics and Astronomy by Aditya Kolachana,K. Mahesh,K. Ramasubramanian Pdf

This volume presents a collection of some of the seminal articles of Professor K. S. Shukla who made immense contributions to our understanding of the history and development of mathematics and astronomy in India. It consists of six parts: Part I constitutes introductory articles which give an overview of the life and work of Prof. Shukla, including details of his publications, reminiscences from his former students, and an analysis of his monumental contributions. Part II is a collection of important articles penned by Prof. Shukla related to various aspects of Indian mathematics. Part III consists of articles by Bibhutibhusan Datta and Avadhesh Narayan Singh—which together constitute the third unpublished part of their History of Hindu Mathematics—that were revised and updated by Prof. Shukla. Parts IV and V consist of a number of important articles of Prof. Shukla on different aspects of Indian astronomy. Part VI includes some important reviews authored by him and a few reviews of his work. Given the sheer range and depth of Prof. Shukla’s scholarship, this volume is essential reading for scholars seeking to deepen their understanding of the rich and varied contributions made by Indian mathematicians and astronomers.

Author : Helaine Selin
Publisher : Springer Science & Business Media
Page : 2428 pages
File Size : 53,7 Mb
Release : 2008-03-12
Category : Science
ISBN : 9781402045592

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Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures by Helaine Selin Pdf

Here, at last, is the massively updated and augmented second edition of this landmark encyclopedia. It contains approximately 1000 entries dealing in depth with the history of the scientific, technological and medical accomplishments of cultures outside of the United States and Europe. The entries consist of fully updated articles together with hundreds of entirely new topics. This unique reference work includes intercultural articles on broad topics such as mathematics and astronomy as well as thoughtful philosophical articles on concepts and ideas related to the study of non-Western Science, such as rationality, objectivity, and method. You’ll also find material on religion and science, East and West, and magic and science.

Author : Bharath Sriraman
Publisher : Springer Nature
Page : 3221 pages
File Size : 41,8 Mb
Release : 2024-06-15
Category : Electronic
ISBN : 9783031408465

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Handbook of the History and Philosophy of Mathematical Practice by Bharath Sriraman Pdf

Author : Anonim
Publisher : BRILL
Page : 787 pages
File Size : 54,5 Mb
Release : 2024-03-11
Category : Philosophy
ISBN : 9789004691568

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The Origin and Significance of Zero by Anonim Pdf

Zero has been axial in human development, but the origin and discovery of zero has never been satisfactorily addressed by a comprehensive, systematic and above all interdisciplinary research program. In this volume, over 40 international scholars explore zero under four broad themes: history; religion, philosophy & linguistics; arts; and mathematics & the sciences. Some propose that the invention/discovery of zero may have been facilitated by the prior evolution of a sophisticated concept of Nothingness or Emptiness (as it is understood in non-European traditions); and conversely, inhibited by the absence of, or aversion to, such a concept of Nothingness in the West. But not all scholars agree. Join the debate.

Author : Jens Høyrup
Publisher : Springer Nature
Page : 969 pages
File Size : 54,7 Mb
Release : 2019-09-20
Category : Mathematics
ISBN : 9783030192587

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Selected Essays on Pre- and Early Modern Mathematical Practice by Jens Høyrup Pdf

This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.

Author : Ivor Grattan-Guinness
Publisher : Routledge
Page : 2323 pages
File Size : 53,8 Mb
Release : 2002-09-11
Category : Philosophy
ISBN : 9781134957491

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Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences by Ivor Grattan-Guinness Pdf

* Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities * Chronological table of main events in the development of mathematics * Fully integrated index of people, events and topics * Annotated bibliographies of both classic and contemporary sources * Unique coverage of Ancient and non-Western traditions of mathematics

Author : K. Ramasubramanian,Takao Hayashi,Clemency Montelle
Publisher : Springer
Page : 444 pages
File Size : 46,8 Mb
Release : 2019-04-16
Category : Mathematics
ISBN : 9789811360343

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Bhāskara-prabhā by K. Ramasubramanian,Takao Hayashi,Clemency Montelle Pdf

This book covers the works of Bhāskara, in particular, his monumental treatise on astronomy, the Siddhāntaśiromaṇi, his astronomical handbook, the Karaṇakutūhala, and his two mathematical treatises, the Līlavatī and the Bījagaṇita, on arithmetic and algebra, respectively. It is a collection of selected papers presented at Bhāskara 900, an international conference commemorate the 900th birth anniversary of the great Indian mathematician Bhāskarācārya. Bhāskara-prabhā, the radiance of Bhāskara, presents the Indian mathematical tradition and the place of Bhāskara in it. The aim of this book is to instill a sense of pride in younger generations of one of their most celebrated thinkers, by sketching some details of his mathematical achievements and capturing their imagination through his poetic flair. It is intended to raise a greater awareness among students and teachers of India’s rich mathematical heritage.

Author : Partha Pratim Ray
Publisher : Rajmangal Prakashan
Page : 685 pages
File Size : 53,8 Mb
Release : 2023-12-20
Category : Architecture
ISBN : 8210379456XXX

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The Great Mathematicians of Bharat by Partha Pratim Ray Pdf

"The Great Mathematicians of Bharat" emerges as a seminal work, aligning perfectly with the vision of the National Education Policy (NEP) 2020, which emphasizes the integration and appreciation of Indian Knowledge Systems (IKS) in contemporary education. This book meticulously documents the rich legacy of India's mathematical geniuses, serving as a crucial resource in rekindling interest and respect for Bharat's profound mathematical traditions. It underscores the symbiotic relationship between cultural ethos and scientific inquiry, highlighting how Indian mathematicians not only contributed to the field of mathematics but also how their work was deeply interwoven with Hindu spiritual and cultural practices. By chronicling the journey from ancient sages to modern masters, the book provides a comprehensive view of the evolution of mathematical thought in Bharat, thus fulfilling NEP 2020's objective of integrating indigenous knowledge with modern academic frameworks. In doing so, it not only educates but also inspires, setting a precedent for future academic endeavours to explore and celebrate India's rich intellectual heritage.

Author : Yvonne Dold-Samplonius
Publisher : Franz Steiner Verlag
Page : 486 pages
File Size : 49,8 Mb
Release : 2002
Category : Mathematics
ISBN : 3515082239

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From China to Paris by Yvonne Dold-Samplonius Pdf

The reports of a conference of 11 scholars who began the task of examing together primary sources that might shed som elight on exactly how and in what fomrs mathematical problems, concepts, and techniques may have been transmitted between various civilizations, from antiquity down to the European Renaissance following more or less the legendary silk routes between China and Western Europe.

Author : Helaine Selin
Publisher : Springer Science & Business Media
Page : 1140 pages
File Size : 51,8 Mb
Release : 2013-11-11
Category : History
ISBN : 9789401714167

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Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures by Helaine Selin Pdf

The Encyclopaedia fills a gap in both the history of science and in cultural stud ies. Reference works on other cultures tend either to omit science completely or pay little attention to it, and those on the history of science almost always start with the Greeks, with perhaps a mention of the Islamic world as a trans lator of Greek scientific works. The purpose of the Encyclopaedia is to bring together knowledge of many disparate fields in one place and to legitimize the study of other cultures' science. Our aim is not to claim the superiority of other cultures, but to engage in a mutual exchange of ideas. The Western aca demic divisions of science, technology, and medicine have been united in the Encyclopaedia because in ancient cultures these disciplines were connected. This work contributes to redressing the balance in the number of reference works devoted to the study of Western science, and encourages awareness of cultural diversity. The Encyclopaedia is the first compilation of this sort, and it is testimony both to the earlier Eurocentric view of academia as well as to the widened vision of today. There is nothing that crosses disciplinary and geographic boundaries, dealing with both scientific and philosophical issues, to the extent that this work does. xi PERSONAL NOTE FROM THE EDITOR Many years ago I taught African history at a secondary school in Central Africa.