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Mathematical Achievements Of Pre Modern Indian Mathematicians

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Mathematical Achievements of Pre modern Indian Mathematicians

Mathematical Achievements of Pre modern Indian Mathematicians Book
Author : T. K. Puttaswamy
Publisher : Newnes
Release : 2012
ISBN : 0123979137
Language : En, Es, Fr & De

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Book Description :

Mathematics in India has a long and impressive history. Presented in chronological order, this book discusses mathematical contributions of Pre-Modern Indian Mathematicians from the Vedic period (800 B.C.) to the 17th Century of the Christian era. These contributions range across the fields of Algebra, Geometry and Trigonometry. The book presents the discussions in a chronological order, covering all the contributions of one Pre-Modern Indian Mathematician to the next. It begins with an overview and summary of previous work done on this subject before exploring specific contributions in exemplary technical detail. This book provides a comprehensive examination of pre-Modern Indian mathematical contributions that will be valuable to mathematicians and mathematical historians. Contains more than 160 original Sanskrit verses with English translations giving historical context to the contributions Presents the various proofs step by step to help readers understand Uses modern, current notations and symbols to develop the calculations and proofs

Mathematical Achievements of Pre modern Indian Mathematicians

Mathematical Achievements of Pre modern Indian Mathematicians Book
Author : T.K Puttaswamy
Publisher : Newnes
Release : 2012-10-22
ISBN : 0123979382
Language : En, Es, Fr & De

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Book Description :

Mathematics in India has a long and impressive history. Presented in chronological order, this book discusses mathematical contributions of Pre-Modern Indian Mathematicians from the Vedic period (800 B.C.) to the 17th Century of the Christian era. These contributions range across the fields of Algebra, Geometry and Trigonometry. The book presents the discussions in a chronological order, covering all the contributions of one Pre-Modern Indian Mathematician to the next. It begins with an overview and summary of previous work done on this subject before exploring specific contributions in exemplary technical detail. This book provides a comprehensive examination of pre-Modern Indian mathematical contributions that will be valuable to mathematicians and mathematical historians. Contains more than 160 original Sanskrit verses with English translations giving historical context to the contributions Presents the various proofs step by step to help readers understand Uses modern, current notations and symbols to develop the calculations and proofs

Indian Mathematics

Indian Mathematics Book
Author : George Gheverghese Joseph
Publisher : World Scientific
Release : 2016-07-28
ISBN : 1786340631
Language : En, Es, Fr & De

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Book Description :

Indian Mathematics gives a unique insight into the history of mathematics within a historical global context. It builds on research into the connection between mathematics and the world-wide advancement of economics and technology. Joseph draws out parallel developments in other cultures and carefully examines the transmission of mathematical ideas across geographical and cultural borders. Accessible to those who have an interest in the global history of mathematical ideas, for the historians, philosophers and sociologists of mathematics, it is a book not to be missed.

Astrology through History Interpreting the Stars from Ancient Mesopotamia to the Present

Astrology through History  Interpreting the Stars from Ancient Mesopotamia to the Present Book
Author : William E. Burns
Publisher : ABC-CLIO
Release : 2018-07-31
ISBN : 1440851433
Language : En, Es, Fr & De

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Book Description :

Alphabetically arranged entries cover the history of astrology from ancient Mesopotamia to the 21st century. In addition to surveying the Western tradition, the book explores Islamic, Indian, East Asian, and Mesoamerican astrology. • Provides alphabetically arranged reference entries that delineate the historical and cultural significance of astrology from ancient Mesopotamia to the present • Directs direct users to additional sources of information via entry bibliographies • Offers sidebars offer additional facts from primary source documents • Incorporates a timeline to help readers to place astrological developments in chronological context • Features an introductory essay for a narrative overview of the history of astrology, priming readers on its cultural relevance

The Rise of Western Power

The Rise of Western Power Book
Author : Jonathan Daly
Publisher : Bloomsbury Publishing
Release : 2021-01-14
ISBN : 1350066141
Language : En, Es, Fr & De

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Book Description :

In this second edition of The Rise of Western Power, Jonathan Daly retains the broad sweep of his introduction to the history of Western civilization as well as introducing new material into every chapter, enhancing the book's global coverage and engaging with the latest historical debates. The West's history is one of extraordinary success: no other region, empire, culture, or civilization has left so powerful a mark upon the world. Daly charts the West's achievements-representative government, the free enterprise system, modern science, and the rule of law-as well as its misdeeds: two World Wars, the Holocaust, imperialistic domination, and the Atlantic slave trade. Taking us through a series of revolutions, he explores the contributions of other cultures and civilizations to the West's emergence, weaving in historical, geographical, and cultural factors. The new edition also contains more material on themes such as the environment and gender, and additional coverage of India, China and the Islamic world. Daly's engaging narrative is accompanied by timelines, maps and further reading suggestions, along with a companion website featuring study questions, over 100 primary sources and 60 historical maps to enable further study.

Mathematics in India

Mathematics in India Book
Author : Kim Plofker
Publisher : Princeton University Press
Release : 2009-01-18
ISBN : 9780691120676
Language : En, Es, Fr & De

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Book Description :

Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning. Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition. **Author's note: The concept of "computational positivism" in Indian mathematical science, mentioned on p. 120, is due to Prof. Roddam Narasimha and is explored in more detail in some of his works, including "The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism" (Interdisciplinary Science Reviews 28, 2003, 1-13).

The Great Knowledge Transcendence

The Great Knowledge Transcendence Book
Author : Dengjian Jin
Publisher : Springer
Release : 2016-02-01
ISBN : 1137527943
Language : En, Es, Fr & De

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Book Description :

This book illustrates the unnaturalness of modern science and technology by tracing their cognitive, evolutionary, and religious origins. It elaborates that all premodern knowers faced inherent limits, and the West was able to develop modern science and technology because of its inherent contradictions forcing the transcendence of limitations.

The Dialogue of Civilizations in the Birth of Modern Science

The Dialogue of Civilizations in the Birth of Modern Science Book
Author : A. Bala
Publisher : Springer
Release : 2006-11-13
ISBN : 0230601219
Language : En, Es, Fr & De

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Book Description :

Arun Bala challenges Eurocentric conceptions of history by showing how Chinese, Indian, Arabic, and ancient Egyptian ideas in philosophy, mathematics, cosmology and physics played an indispensable role in making possible the birth of modern science.

How Europe Made the Modern World

How Europe Made the Modern World Book
Author : Jonathan Daly
Publisher : Bloomsbury Publishing
Release : 2019-10-03
ISBN : 1350029475
Language : En, Es, Fr & De

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Book Description :

One thousand years ago, a traveler to Baghdad or the Chinese capital Kaifeng would have discovered a vast and flourishing city of broad streets, spacious gardens, and sophisticated urban amenities; meanwhile, Paris, Rome, and London were cramped and unhygienic collections of villages, and Europe was a backwater. How, then, did it rise to world preeminence over the next several centuries? This is the central historical conundrum of modern times. How Europe Made the Modern World draws upon the latest scholarship dealing with the various aspects of the West's divergence, including geography, demography, technology, culture, institutions, science and economics. It avoids the twin dangers of Eurocentrism and anti-Westernism, strongly emphasizing the contributions of other cultures of the world to the West's rise while rejecting the claim that there was nothing distinctive about Europe in the premodern period. Daly provides a concise summary of the debate from both sides, whilst also presenting his own provocative arguments. Drawing on a wide range of primary and secondary sources, and including maps and images to illuminate key evidence, this book will inspire students to think critically and engage in debates rather than accepting a single narrative of the rise of the West. It is an ideal primer for students studying Western Civilization and World History courses.

A Passage to Infinity

A Passage to Infinity Book
Author : George Gheverghese Joseph
Publisher : SAGE Publications India
Release : 2009-12-10
ISBN : 8132104811
Language : En, Es, Fr & De

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Book Description :

This book traces the first faltering steps taken in the mathematical theorisation of infinity which marks the emergence of modern mathematics. It analyses the part played by Indian mathematicians through the Kerala conduit, which is an important but neglected part of the history of mathematics. Passage to Infinity: Medieval Indian Mathematics from Kerala and its Impact begins with an examination of the social origins of the Kerala School and proceeds to discuss its mathematical genesis as well as its achievements. It presents the techniques employed by the School to derive the series expansions for sine, cosine, arctan, and so on. By using modern notation but remaining close to the methods in the original sources, it enables the reader with some knowledge of trigonometry and elementary algebra to follow the derivations. While delving into the nature of the socio-economic processes that led to the development of scientific knowledge in pre-modern India, the book also probes the validity or otherwise of the conjecture of the transmission of Kerala mathematics to Europe through the Jesuit channel. The book straddles two domains: science and social sciences. It will appeal to those interested in mathematics, statistics, medieval history, history of science and technology, links between mathematics and culture and the nature of movements of ideas across cultures.

The Circulation of Knowledge Between Britain India and China

The Circulation of Knowledge Between Britain  India and China Book
Author : Anonim
Publisher : BRILL
Release : 2013-06-21
ISBN : 9004251413
Language : En, Es, Fr & De

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Book Description :

In The Circulation of Knowledge Between Britain, India and China, twelve scholars examine how knowledge, things and people moved within, and between, the East and the West from the early modern period to the twentieth century.

International Handbook of Research in History Philosophy and Science Teaching

International Handbook of Research in History  Philosophy and Science Teaching Book
Author : Michael R. Matthews
Publisher : Springer
Release : 2014-07-03
ISBN : 9400776543
Language : En, Es, Fr & De

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Book Description :

This inaugural handbook documents the distinctive research field that utilizes history and philosophy in investigation of theoretical, curricular and pedagogical issues in the teaching of science and mathematics. It is contributed to by 130 researchers from 30 countries; it provides a logically structured, fully referenced guide to the ways in which science and mathematics education is, informed by the history and philosophy of these disciplines, as well as by the philosophy of education more generally. The first handbook to cover the field, it lays down a much-needed marker of progress to date and provides a platform for informed and coherent future analysis and research of the subject. The publication comes at a time of heightened worldwide concern over the standard of science and mathematics education, attended by fierce debate over how best to reform curricula and enliven student engagement in the subjects. There is a growing recognition among educators and policy makers that the learning of science must dovetail with learning about science; this handbook is uniquely positioned as a locus for the discussion. The handbook features sections on pedagogical, theoretical, national, and biographical research, setting the literature of each tradition in its historical context. It reminds readers at a crucial juncture that there has been a long and rich tradition of historical and philosophical engagements with science and mathematics teaching, and that lessons can be learnt from these engagements for the resolution of current theoretical, curricular and pedagogical questions that face teachers and administrators. Science educators will be grateful for this unique, encyclopaedic handbook, Gerald Holton, Physics Department, Harvard University This handbook gathers the fruits of over thirty years’ research by a growing international and cosmopolitan community Fabio Bevilacqua, Physics Department, University of Pavia

The Mathematics of Egypt Mesopotamia China India and Islam

The Mathematics of Egypt  Mesopotamia  China  India  and Islam Book
Author : Victor J. Katz
Publisher : Princeton University Press
Release : 2021-08-10
ISBN : 0691235392
Language : En, Es, Fr & De

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Book Description :

In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors--Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)--are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

Science and Its Times 2000 B C to A D 699

Science and Its Times  2000 B C  to A D  699 Book
Author : Neil Schlager,Josh Lauer
Publisher : Unknown
Release : 2000
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Exploration and Discovery - Life Sciences - Mathematics - Medicine - Physical Sciences - Technology and Invention.

Mathematical Research in India

Mathematical Research in India Book
Author : A. C. Banerji
Publisher : Unknown
Release : 1947
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Mathematical Research in India book written by A. C. Banerji, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Mathematics and the Divine

Mathematics and the Divine Book
Author : Teun Koetsier,Luc Bergmans
Publisher : Elsevier
Release : 2004-12-09
ISBN : 9780080457352
Language : En, Es, Fr & De

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Book Description :

Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isn’t the Divine that which is immeasurable ? The present book shows that the domains of mathematics and the Divine, which may seem so radically separated, have throughout history and across cultures, proved to be intimately related. Religious activities such as the building of temples, the telling of ritual stories or the drawing of enigmatic figures all display distinct mathematical features. Major philosophical systems dealing with the Absolute and theological speculations focussing on our knowledge of the Ultimate have been based on or inspired by mathematics. A series of chapters by an international team of experts highlighting key figures, schools and trains of thought is presented here. Chinese number mysticism, the views of Pythagoras and Plato and their followers, Nicholas of Cusa's theological geometry, Spinozism and intuitionism as a philosophy of mathematics are treated side by side among many other themes in an attempt at creating a global view on the relation of mathematics and Man’s quest for the Absolute in the course of history. · Mathematics and man's quest for the Absolute · A selective history highlighting key figures, schools and trains of thought · An international team of historians presenting specific new findings as well as general overviews · Confronting and uniting otherwise compartmentalized information

Ga ita Bh rat

Ga   ita Bh  rat   Book
Author : Anonim
Publisher : Unknown
Release : 1996
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Ga ita Bh rat book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The History of Mathematical Proof in Ancient Traditions

The History of Mathematical Proof in Ancient Traditions Book
Author : Karine Chemla
Publisher : Cambridge University Press
Release : 2012-07-05
ISBN : 1139510584
Language : En, Es, Fr & De

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Book Description :

This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.

FREE SAMPLE Quick Revision MINDMAPS NOTES for CBSE Class 10 Science Mathematics Social Science Hindi B English Language Literature

 FREE SAMPLE  Quick Revision MINDMAPS NOTES for CBSE Class 10 Science  Mathematics  Social Science  Hindi B   English Language   Literature Book
Author : Disha Experts
Publisher : Disha Publications
Release : 2019-11-14
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download FREE SAMPLE Quick Revision MINDMAPS NOTES for CBSE Class 10 Science Mathematics Social Science Hindi B English Language Literature book written by Disha Experts, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.