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Jayadeva (mathematician)
Jayadeva (c. 1000 CE) was an Indian 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, Mathematica ..., who further developed the cyclic method ( Chakravala method) that was called by Hermann Hankel "the finest thing achieved in the theory of numbers before Lagrange (18th century)". He also made significant contributions to combinatorics. Jayadeva's works are lost, and he is known only from a 20-verse quotation in Udaya-divakara ''Sundari'' (c. 1073), a commentary on Bhaskara I's ''Laghu-bhaskariya''. This means that Jayadeva must have lived sometime before 1073, possibly around 1000 CE. See also * List of Indian mathematicians References 11th-century Indian mathematicians {{India-scientist-stub ... [...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] |
Chakravala Method
The ''chakravala'' method () is a cyclic algorithm to solve indeterminate quadratic equations, including Pell's equation. It is commonly attributed to Bhāskara II, (c. 1114 – 1185 CE)Hoiberg & Ramchandani – Students' Britannica India: Bhaskaracharya II, page 200Kumar, page 23 although some attribute it to Jayadeva (c. 950 ~ 1000 CE).Plofker, page 474 Jayadeva pointed out that Brahmagupta's approach to solving equations of this type could be generalized, and he then described this general method, which was later refined by Bhāskara II in his '' Bijaganita'' treatise. He called it the Chakravala method: ''chakra'' meaning "wheel" in Sanskrit, a reference to the cyclic nature of the algorithm.Goonatilake, page 127 – 128 C.-O. Selenius held that no European performances at the time of Bhāskara, nor much later, exceeded its marvellous height of mathematical complexity. This method is also known as the cyclic method and contains traces of mathematical induction. Histor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hermann Hankel
Hermann Hankel (14 February 1839 – 29 August 1873) was a German mathematician. Having worked on mathematical analysis during his career, he is best known for introducing the Hankel transform and the Hankel matrix. Biography Hankel was born on 14 February 1839 in Halle, Germany. His father, Wilhelm Gottlieb Hankel, was a physicist. Hankel studied at Nicolai Gymnasium in Leipzig before entering Leipzig University in 1857, where he studied with Moritz Drobisch, August Ferdinand Möbius and his father. In 1860, he started studying at University of Göttingen, where he acquired an interest in function theory under the tutelage of Bernhard Riemann. Following the publication of an award winning article, he proceeded to study under Karl Weierstrass and Leopold Kronecker in Berlin. He received his doctorate in 1862 at Leipzig University. Receiving his teaching qualifications a year after, he was promoted to an associate professor at Leipzig University in 1867. At the same year, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joseph Louis Lagrange
Joseph-Louis Lagrange (born Giuseppe Luigi LagrangiaJoseph-Louis Lagrange, comte de l’Empire ''Encyclopædia Britannica'' or Giuseppe Ludovico De la Grange Tournier; 25 January 1736 – 10 April 1813), also reported as Giuseppe Luigi Lagrange or Lagrangia, was an Italian and naturalized French , physicist and astronomer. He made significa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science. Combinatorics is well known for the breadth of the problems it tackles. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas. Many combinatorial questions have historically been considered in isolation, giving an ''ad hoc'' solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lost Literary Work
A lost literary work (referred throughout this article just as a lost work) is a document, literary work, or piece of multimedia, produced of which no surviving copies are known to exist, meaning it can be known only through reference, or literary fragments. This term most commonly applies to works from the classical world, although it is increasingly used in relation to modern works. A work may be lost to history through the destruction of an original manuscript and all later copies. Works—or, commonly, small fragments of works—have survived by being found by archaeologists during investigations, or accidentally by laypersons such as, for example, the finding Nag Hammadi library scrolls. Works also survived when they were reused as bookbinding materials, quoted or included in other works, or as palimpsests, where an original document is imperfectly erased so the substrate on which it was written can be reused. The discovery, in 1822, of Cicero's '' De re publica'' was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Indian Mathematicians
Indian mathematicians have made a number of contributions to mathematics that have significantly influenced scientists and mathematicians in the modern era. One of such works is Hindu numeral system which is predominantly used today and is likely to be used in the future. Ancient (Before 320 CE) * Shulba sutras (around 1st millenium BCE) * Baudhayana sutras (fl. c. 900 BCE) *Yajnavalkya (700 BCE) * Manava (fl. 750–650 BCE) * Apastamba Dharmasutra (c. 600 BCE) *''Pāṇini'' (c. 520–460 BCE) * Kātyāyana (fl. c. 300 BCE) * Akṣapada Gautama(c. 600 BCE–200 CE) * Bharata Muni (200 BCE-200 CE) * Pingala (c. 3rd/2nd century BCE) * Bhadrabahu (367 – 298 BCE) * Umasvati (c. 200 CE) * Yavaneśvara (2nd century) * Vasishtha Siddhanta, 4th century CE Classical (320 CE–520 CE) * Vasishtha Siddhanta, 4th century CE * Aryabhata (476–550 CE) * Yativrsabha (500–570) * Varahamihira (505–587 CE) * Yativṛṣabha, (6th-century CE) * Virahanka (6th century CE) Ear ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
