A Passage To Infinity
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A Passage To Infinity
''A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact'' is a 2009 book by George Gheverghese Joseph chronicling the social and mathematical origins of the Kerala school of astronomy and mathematics. The book discusses the highlights of the achievements of Kerala school and also analyses the hypotheses and conjectures on the possible transmission of Kerala mathematics to Europe. An outline of the contents # Introduction # The Social Origins of the Kerala School # The Mathematical Origins of the Kerala School # The Highlights of Kerala Mathematics and Astronomy # Indian Trigonometry: From Ancient Beginnings to Nilakantha # Squaring the Circle: The Kerala Answer # Reaching for the Stars: The Power Series for Sines and Cosines # Changing Perspectives on Indian Mathematics # Exploring Transmissions: A Case Study of Kerala Mathematics # A Final Assessment See also *Indian astronomy *Indian mathematics *History of mathematics References Further ...
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George Gheverghese Joseph
George Gheverghese Joseph, also known as G. G. Joseph is an Indian-born African mathematician who is a specialist in the history of mathematics. His works are mainly focused on the achievements of Kerala school of astronomy and mathematics and the transmission of mathematics from India to Europe. Early life and works George Gheverghese Joseph was born in Kerala, India. At the age of 9, his family moved to Mombasa, Kenya and he pursued his schooling in Kenya. He completed his degree in mathematics at the University of Leicester. After completing his degree, he worked as a school teacher for six years in Kenya and, then he did a master's degree at the University of Manchester, England. He qualified in Law in 2000. G. G. Joseph studied and conducted researches in applied mathematics and statistics, including multivariate analysis, mathematical programming, and demography. He is conducting three-month research on the history of mathematics in his native place every year. Through his ...
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The Hindu
''The Hindu'' is an Indian English-language daily newspaper owned by The Hindu Group, headquartered in Chennai, Tamil Nadu. It began as a weekly in 1878 and became a daily in 1889. It is one of the Indian newspapers of record and the second most circulated English-language newspaper in India, after '' The Times of India''. , ''The Hindu'' is published from 21 locations across 11 states of India. ''The Hindu'' has been a family-owned newspaper since 1905, when it was purchased by S. Kasturi Ranga Iyengar from the original founders. It is now jointly owned by Iyengar's descendants, referred to as the "Kasturi family", who serve as the directors of the holding company. The current chairperson of the group is Malini Parthasarathy, a great-granddaughter of Iyengar. Except for a period of about two years, when S. Varadarajan held the editorship of the newspaper, the editorial positions of the paper were always held by members of the family or held under their direction. Histo ...
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The Economic Times
''The Economic Times'' is an Indian English-language business-focused daily newspaper. It is owned by The Times Group. ''The Economic Times'' began publication in 1961. As of 2012, it is the world's second-most widely read English-language business newspaper, after ''The Wall Street Journal'', with a readership of over 800,000. It is published simultaneously from 14 cities: Mumbai, Bangalore, Delhi, Chennai, Kolkata, Lucknow, Hyderabad, Jaipur, Ahmedabad, Nagpur, Chandigarh, Pune, Indore, and Bhopal. Its main content is based on the Indian economy, international finance, share prices, prices of commodities as well as other matters related to finance. This newspaper is published by Bennett, Coleman & Co. Ltd. The founding editor of the paper when it was launched in 1961 was P. S. Hariharan. The current editor of ''The Economic Times'' is Bodhisattva Ganguli. ''The Economic Times'' is sold in all major cities in India. Other ventures In June 2009, The Economic Times launched a ...
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The Mathematical Association Of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry. The MAA was founded in 1915 and is headquartered at 1529 18th Street, Northwest in the Dupont Circle neighborhood of Washington, D.C. The organization publishes mathematics journals and books, including the ''American Mathematical Monthly'' (established in 1894 by Benjamin Finkel), the most widely read mathematics journal in the world according to records on JSTOR. Mission and Vision The mission of the MAA is to advance the understanding of mathematics and its impact on our world. We envision a society that values the power and beauty of mathematics and fully realizes its potential to promote human flourishing. ...
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Royal Society
The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, recognising excellence in science, supporting outstanding science, providing scientific advice for policy, education and public engagement and fostering international and global co-operation. Founded on 28 November 1660, it was granted a royal charter by King Charles II as The Royal Society and is the oldest continuously existing scientific academy in the world. The society is governed by its Council, which is chaired by the Society's President, according to a set of statutes and standing orders. The members of Council and the President are elected from and by its Fellows, the basic members of the society, who are themselves elected by existing Fellows. , there are about 1,700 fellows, allowed to use the postnominal title FRS (Fellow of the ...
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History Of Mathematics
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the patterns in nature, the field of astronomy and to record time and formulate calendars. The earliest mathematical texts available are from Mesopotamia and Egypt – '' Plimpton 322'' ( Babylonian c. 2000 – 1900 BC), the ''Rhind Mathematical Papyrus'' ( Egyptian c. 1800 BC) and the '' Moscow Mathematical Papyrus'' (Egyptian c. 1890 BC). All of these texts mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most anci ...
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Indian Mathematics
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today: "The measure of the genius of Indian civilisation, to which we owe our modern (number) system, is all the greater in that it was the only one in all history to have achieved this triumph. Some cultures succeeded, earlier than the Indian, in discovering one or at best two of the characteristics of this intellectual feat. But none of them managed to bring together into a complete and coherent system the necessary and sufficient conditions for a number-system with the same potential as our own." was first recorded in Indian mathematics. Indian mathematicians made early contributions to the study of the concept of zero as a number,: "...our decimal system, which (by t ...
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Indian Astronomy
Astronomy has long history in Indian subcontinent stretching from pre-historic to modern times. Some of the earliest roots of Indian astronomy can be dated to the period of Indus Valley civilisation or earlier. Astronomy later developed as a discipline of Vedanga, or one of the "auxiliary disciplines" associated with the study of the Vedas,Sarma (2008), ''Astronomy in India'' dating 1500 BCE or older. The oldest known text is the ''Vedanga Jyotisha'', dated to 1400–1200 BCE (with the extant form possibly from 700 to 600 BCE). Indian astronomy was influenced by Greek astronomy beginning in the 4th century BCEHighlights of Astronomy, Volume 11B: As presented at the XXIIIrd General Assembly of the IAU, 1997. Johannes Andersen Springer, 31 January 1999 – Science – 616 pages. page 72/ref>Babylon to Voyager and Beyond: A History of Planetary Astronomy. David Leverington. Cambridge University Press, 29 May 2010 – Science – 568 pages. page 4/ref>The History and Practice of Anci ...
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Indian Mathematics
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today: "The measure of the genius of Indian civilisation, to which we owe our modern (number) system, is all the greater in that it was the only one in all history to have achieved this triumph. Some cultures succeeded, earlier than the Indian, in discovering one or at best two of the characteristics of this intellectual feat. But none of them managed to bring together into a complete and coherent system the necessary and sufficient conditions for a number-system with the same potential as our own." was first recorded in Indian mathematics. Indian mathematicians made early contributions to the study of the concept of zero as a number,: "...our decimal system, which (by t ...
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Sine
In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse. For an angle \theta, the sine and cosine functions are denoted simply as \sin \theta and \cos \theta. More generally, the definitions of sine and cosine can be extended to any real value in terms of the lengths of certain line segments in a unit circle. More modern definitions express the sine and cosine as infinite series, or as the solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers. The sine and cosine functions are commonly used to model periodic phenomena such as sound and lig ...
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English Language
English is a West Germanic language of the Indo-European language family, with its earliest forms spoken by the inhabitants of early medieval England. It is named after the Angles, one of the ancient Germanic peoples that migrated to the island of Great Britain. Existing on a dialect continuum with Scots, and then closest related to the Low Saxon and Frisian languages, English is genealogically West Germanic. However, its vocabulary is also distinctively influenced by dialects of France (about 29% of Modern English words) and Latin (also about 29%), plus some grammar and a small amount of core vocabulary influenced by Old Norse (a North Germanic language). Speakers of English are called Anglophones. The earliest forms of English, collectively known as Old English, evolved from a group of West Germanic (Ingvaeonic) dialects brought to Great Britain by Anglo-Saxon settlers in the 5th century and further mutated by Norse-speaking Viking settlers starting in the 8th and 9th ...
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