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Vaṭeśvara-siddhānta
Vaṭeśvara-siddhānta is a mathematical and astronomical treatise by Vaṭeśvara in India in 904. This treatise contains fifteen chapters on astronomy and applied mathematics. Mathematical exercises are included for students to show their comprehension of the text.K. V. Sarma (1997), "Vatesvara", Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures edited by Helaine Selin Helaine Selin (born 1946) is an American librarian, historian of science, author and the editor of several bestselling books. Career Selin attended Binghamton University, where she earned her bachelor's degree. She received her MLS from SUNY Alb ..., Springer, References * K. S. Shukla, "Ancient Indian Mathematical Astronomy Eleven Centuries ago (Vateswara Siddanta of Vateshwaracharya 880 AD)", Indian Institute of Scientific Heritage (IISH) Indian mathematics {{mathematics-lit-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vaṭeśvara
Vaṭeśvara ( sa, वटेश्वर ) (born 880), was a tenth-century Indian mathematician from Kashmir who presented several trigonometric identities. He was the author (at the age of 24) of '' Vaṭeśvara-siddhānta'' written in 904 AD, a treatise focusing on astronomy and applied mathematics.The work criticized Brahmagupta and defended Aryabhatta I. An edition of the first three chapters was published in 1962 by R. S. Sharma and Mukund Mishra. Al Biruni referred to the works by Vateswara, particularly the Karaṇasāra, noting that the author was the son of Mihdatta who belonged to Nagarapura (also given as Anandapura which is now Vadnagar). The Karaṇasāra uses 821 Saka era (899 AD) as a reference year. References Other sources * K. V. Sarma (1997), "Vatesvara", Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures edited by Helaine Selin Helaine Selin (born 1946) is an American librarian, historian of science, author and the ed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Astronomical
Astronomy () is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, galaxies, and comets. Relevant phenomena include supernova explosions, gamma ray bursts, quasars, blazars, pulsars, and cosmic microwave background radiation. More generally, astronomy studies everything that originates beyond Earth's atmosphere. Cosmology is a branch of astronomy that studies the universe as a whole. Astronomy is one of the oldest natural sciences. The early civilizations in recorded history made methodical observations of the night sky. These include the Babylonians, Greeks, Indians, Egyptians, Chinese, Maya, and many ancient indigenous peoples of the Americas. In the past, astronomy included disciplines as diverse as astrometry, celestial navigation, observational astronomy, and the making of calendars. Nowadays, professiona ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
India
India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the south, the Arabian Sea on the southwest, and the Bay of Bengal on the southeast, it shares land borders with Pakistan to the west; China, Nepal, and Bhutan to the north; and Bangladesh and Myanmar to the east. In the Indian Ocean, India is in the vicinity of Sri Lanka and the Maldives; its Andaman and Nicobar Islands share a maritime border with Thailand, Myanmar, and Indonesia. Modern humans arrived on the Indian subcontinent from Africa no later than 55,000 years ago., "Y-Chromosome and Mt-DNA data support the colonization of South Asia by modern humans originating in Africa. ... Coalescence dates for most non-European populations average to between 73–55 ka.", "Modern human beings—''Homo sapiens''—originated in Africa. Then, int ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Astronomy
Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest include planets, natural satellite, moons, stars, nebulae, galaxy, galaxies, and comets. Relevant phenomena include supernova explosions, gamma ray bursts, quasars, blazars, pulsars, and cosmic microwave background radiation. More generally, astronomy studies everything that originates beyond atmosphere of Earth, Earth's atmosphere. Cosmology is a branch of astronomy that studies the universe as a whole. Astronomy is one of the oldest natural sciences. The early civilizations in recorded history made methodical observations of the night sky. These include the Babylonian astronomy, Babylonians, Greek astronomy, Greeks, Indian astronomy, Indians, Egyptian astronomy, Egyptians, Chinese astronomy, Chinese, Maya civilization, Maya, and many anc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Applied Mathematics
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics. History Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variational ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Exercise
A mathematical exercise is a routine application of algebra or other mathematics to a stated challenge. Mathematics teachers assign mathematical exercises to develop the skills of their students. Early exercises deal with addition, subtraction, multiplication, and division of integers. Extensive courses of exercises in school extend such arithmetic to rational numbers. Various approaches to geometry have based exercises on relations of angles, segments, and triangles. The topic of trigonometry gains many of its exercises from the trigonometric identities. In college mathematics exercises often depend on functions of a real variable or application of theorems. The standard exercises of calculus involve finding derivatives and integrals of specified functions. Usually instructors prepare students with worked examples: the exercise is stated, then a model answer is provided. Often several worked examples are demonstrated before students are prepared to attempt exercises on their ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Encyclopaedia Of The History Of Science, Technology, And Medicine In Non-Western Cultures
''Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures'' is an encyclopedia edited by Helaine Selin and published by Kluwer Academic Publishers in 1997, with a second edition in 2008, and third edition in 2016. Summary From the Preface: :The purpose of the ''Encyclopaedia'' is to bring together knowledge of many disparate fields in one place to legitimize the study of other cultures' science... The Western academic divisions of science, technology and medicine have been united in the ''Encyclopaedia'' because in ancient cultures these disciplines were connected. The first edition (1997) has 600 articles by a range of experts. The arrangement is alphabetical from "Abacus" to "Zu Chongzi". It includes an index from page 1079 to page 1117. K. V. Sarma contributed 35 articles, Greg De Young 13, Boris A. Rosenfeld 12, and Emilia Calvo and Ho Peng Yoke 11 each. Fabrizio Pregadio contributed 10 articles, Julio Samo wrote 9, and Richard Bertschinger, Ra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Helaine Selin
Helaine Selin (born 1946) is an American librarian, historian of science, author and the editor of several bestselling books. Career Selin attended Binghamton University, where she earned her bachelor's degree. She received her MLS from SUNY Albany. She was a Peace Corps volunteer from the fall of 1967 through the summer of 1969 as an English teacher in Malawi. She retired in 2012 from being the science librarian at Hampshire College. Selin is well known for being the editor of ''Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures'' (1997) which is one of the first books which allows readers to "compare a variety of traditional systems of mathematics and cosmologies." ''Mathematics Across Cultures: The History of Non-Western Mathematics'' (2000), is considered by ''Mathematical Intelligencer'' as a companion to the ''Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures''. The journal, ''Mathematics and Com ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
