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Narayana Pandit
Nārāyaṇa Paṇḍita () (1340–1400) was an Indian mathematician. Plofker writes that his texts were the most significant Sanskrit mathematics treatises after those of Bhaskara II, other than the Kerala school. He wrote the '' Ganita Kaumudi'' (lit. "Moonlight of mathematics") in 1356 about mathematical operations. The work anticipated many developments in combinatorics. Life and Works About his life, the most that is known is that: Narayana Pandit wrote two works, an arithmetical treatise called ''Ganita Kaumudi'' and an algebraic treatise called ''Bijaganita Vatamsa''. Narayana is also thought to be the author of an elaborate commentary of Bhaskara II's Lilavati, titled ''Karmapradipika'' (or ''Karma-Paddhati''). Although the ''Karmapradipika'' contains little original work, it contains seven different methods for squaring numbers, a contribution that is wholly original to the author, as well as contributions to algebra and magic squares. Narayana's other major work ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Permutation
In mathematics, a permutation of a set can mean one of two different things: * an arrangement of its members in a sequence or linear order, or * the act or process of changing the linear order of an ordered set. An example of the first meaning is the six permutations (orderings) of the set : written as tuples, they are (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 2, 1). Anagrams of a word whose letters are all different are also permutations: the letters are already ordered in the original word, and the anagram reorders them. The study of permutations of finite sets is an important topic in combinatorics and group theory. Permutations are used in almost every branch of mathematics and in many other fields of science. In computer science, they are used for analyzing sorting algorithms; in quantum physics, for describing states of particles; and in biology, for describing RNA sequences. The number of permutations of distinct objects is factorial, us ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1400 Deaths
Year 1400 ( MCD) was a leap year starting on Thursday of the Julian calendar. The year 1400 was not a leap year in the Proleptic Gregorian calendar, it was a common year starting on Wednesday. Events January–March * January 4 – The Epiphany Rising begins in England against King Henry IV by nobles planning to restore King Richard II to the throne, and is quickly crushed. Baron Lumley dies after attempting to seize Cirencester. The Earl of Salisbury and the Earl of Kent are captured and beheaded on January 7. Sir Thomas Blount is hanged, drawn and quartered at Oxford on January 12. Thomas le Despenser, 1st Earl of Gloucester is captured and executed by a mob in Bristol on January 13. The Earl of Huntingdon is beheaded at Pleshey on January 16. * February 14 – The deposed Richard II of England dies by means unknown in Pontefract Castle. It is likely that King Henry IV ordered his death by starvation, to prevent further uprisings. * February &n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1340 Births
134 may refer to: *134 (number) *AD 134 *134 BC *134 (MBTA bus) *134 (New Jersey bus) 134 may refer to: *134 (number) *AD 134 *134 BC *134 (MBTA bus) The Massachusetts Bay Transportation Authority MBTA bus, bus division operates 151 bus routes in the Boston, Massachusetts metropolitan area. All routes connect to Massachusetts Bay ... * 134 Sophrosyne, a main-belt asteroid {{numberdis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brill Publishers
Brill Academic Publishers () is a Dutch international academic publisher of books, academic journals, and Bibliographic database, databases founded in 1683, making it one of the oldest publishing houses in the Netherlands. Founded in the South Holland city of Leiden, it maintains its headquarters there, while also operating offices in Boston, Paderborn, Vienna, Singapore, and Beijing. Since 1896, Brill has been a public limited company (). Brill is especially known for its work in subject areas such as Oriental studies, classics, religious studies, Jewish studies, Islamic studies, Asian studies, international law, and human rights. The publisher offers traditional print books, academic journals, primary source materials online, and publications on microform. In recent decades, Brill has expanded to Electronic publishing, digital publishing with ebooks and online resources including databases and specialty collections varying by discipline. History Founding by Luchtmans, 16 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David Pingree
David Edwin Pingree (January 2, 1933 – November 11, 2005) was an American historian of mathematics in the ancient world. He was a University Professor and Professor of History of Mathematics and Classics at Brown University. Life Pingree graduated from Phillips Academy in Andover, Massachusetts, in 1950. He studied at Harvard University, where he earned his doctorate in 1960 with a dissertation on the supposed transmission of Hellenistic astrology to India. His dissertation was supervised by Daniel Henry Holmes Ingalls, Sr. and Otto Eduard Neugebauer. After completing his PhD, Pingree remained at Harvard for three more years as a member of its Society of Fellows before moving to the University of Chicago to accept the position of Research Associate at the Oriental Institute. He joined the History of Mathematics Department at Brown University in 1971, eventually holding the chair until his death. As successor to Otto Neugebauer in Brown's History of Mathematics Departme ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of St Andrews
The University of St Andrews (, ; abbreviated as St And in post-nominals) is a public university in St Andrews, Scotland. It is the List of oldest universities in continuous operation, oldest of the four ancient universities of Scotland and, following the universities of University of Oxford, Oxford and University of Cambridge, Cambridge, the third-oldest university in the English-speaking world. St Andrews was founded in 1413 when the Avignon Pope, Avignon Antipope Benedict XIII issued a papal bull to a small founding group of Augustinians, Augustinian clergy. Along with the universities of University of Glasgow, Glasgow, University of Aberdeen, Aberdeen, and University of Edinburgh, Edinburgh, St Andrews was part of the Scottish Enlightenment during the 18th century. St Andrews is made up of a variety of institutions, comprising three colleges — United College, St Andrews, United College (a union of St Salvator's and St Leonard's Colleges), St Mary's College, St Andrew ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Archimedes Cattle Problem
Archimedes's cattle problem (or the or ) is a problem in Diophantine equation#Diophantine analysis, Diophantine analysis, the study of polynomial equations with integer solutions. Attributed to Archimedes, the problem involves computing the number of cattle in a herd of Helios, the sun god from a given set of restrictions. The problem was discovered by Gotthold Ephraim Lessing in a Greek manuscript containing a poem of forty-four lines, in the Herzog August Library in Wolfenbüttel, Germany in 1773. The problem remained unsolved for a number of years, due partly to the difficulty of computing the huge numbers involved in the solution. The general solution was found in 1880 by (1845–1916), headmaster of the ' (Gymnasium (school), Gymnasium of the Holy Cross) in Dresden, Germany. Using logarithmic tables, he calculated the first digits of the smallest solution, showing that it is about cattle, far more than could fit in the observable universe. The decimal form is too long for h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Supergolden Ratio
In mathematics, the supergolden ratio is a geometrical aspect ratio, proportion, given by the unique real polynomial root, solution of the equation Its decimal expansion begins with . The name ''supergolden ratio'' is by analogy with the golden ratio, the positive solution of the equation Definition Three quantities are in the supergolden ratio if \frac =\frac =\frac The ratio is commonly denoted Substituting b=\psi c \, and a=\psi b =\psi^2 c \, in the middle fraction, \psi =\frac. It follows that the supergolden ratio is the unique real solution of the cubic equation \psi^3 -\psi^2 -1 =0. The Minimal polynomial (field theory), minimal polynomial for the reciprocal root is the depressed cubic x^ +x -1, thus the simplest solution with Cubic equation#Cardano's formula, Cardano's formula, \begin w_ &=\left( 1 \pm \frac \sqrt \right) /2 \\ 1 /\psi &=\sqrt[3] +\sqrt[3] \end or, using the Cubic equation#Trigonometric and hyperbolic solutions, hyperbolic sine, : 1 /\p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Golden Ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their summation, sum to the larger of the two quantities. Expressed algebraically, for quantities and with , is in a golden ratio to if \frac = \frac = \varphi, where the Greek letter Phi (letter), phi ( or ) denotes the golden ratio. The constant satisfies the quadratic equation and is an irrational number with a value of The golden ratio was called the extreme and mean ratio by Euclid, and the divine proportion by Luca Pacioli; it also goes by other names. Mathematicians have studied the golden ratio's properties since antiquity. It is the ratio of a regular pentagon's diagonal to its side and thus appears in the Straightedge and compass construction, construction of the dodecahedron and icosahedron. A golden rectangle—that is, a rectangle with an aspect ratio of —may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has bee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fibonacci Sequence
In mathematics, the Fibonacci sequence is a Integer sequence, sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted . Many writers begin the sequence with 0 and 1, although some authors start it from 1 and 1 and some (as did Fibonacci) from 1 and 2. Starting from 0 and 1, the sequence begins : 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... The Fibonacci numbers were first described in Indian mathematics as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths. They are named after the Italian mathematician Leonardo of Pisa, also known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book . Fibonacci numbers appear unexpectedly often in mathematics, so much so that there is an entire journal dedicated to their study, the ''Fibonacci Quarterly''. Appli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
