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65 relations: Achyuta Pisharati, Algebra, Algebraic equation, Angle, Arithmetic, Augustin-Louis Cauchy, C. M. Whish, Calculus, Celestial sphere, Circle, Circumference, Convergent series, Cross-multiplication, Danes, Declination, Derivative, Elementary mathematics, Ellipse, Europe, Fraction (mathematics), Ganita-yukti-bhasa, Geometry, Hindu, India, Indian astronomy, Indian Institute of Advanced Study, Indian mathematics, Integral, Integral test for convergence, Inverse trigonometric functions, Iterative method, James Gregory (mathematician), Jyeṣṭhadeva, Karanapaddhati, Kerala School of Astronomy and Mathematics, Logistic function, Madhava of Sangamagrama, Mathematical analysis, Mathematical proof, Mathematician, Nilakantha Somayaji, Nonlinear system, Orbit, Parallax, Parameshvara, Power series, Pythagorean theorem, Right ascension, Royal Asiatic Society of Great Britain and Ireland, Sadratnamala, ..., Series (mathematics), Shastra, Sine, Spherical trigonometry, Springer Science+Business Media, Square root, Squaring the circle, Tantrasamgraha, Taylor series, Theorem, Treatise, Trigonometric functions, Trigonometric series, Trigonometry, Tycho Brahe. Expand index (15 more) »
Achyuta Pisharati
Achyutha Pisharodi (c. 1550 at Trikkandiyur (aka Kundapura), Tirur, Kerala, India – 7 July 1621 in Kerala) was a Sanskrit grammarian, astrologer, astronomer and mathematician who studied under Jyeṣṭhadeva and was a member of Madhava of Sangamagrama's Kerala school of astronomy and mathematics.
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Algebra
Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.
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Algebraic equation
In mathematics, an algebraic equation or polynomial equation is an equation of the form where P and Q are polynomials with coefficients in some field, often the field of the rational numbers.
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Angle
In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
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Arithmetic
Arithmetic (from the Greek ἀριθμός arithmos, "number") is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division.
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Augustin-Louis Cauchy
Baron Augustin-Louis Cauchy FRS FRSE (21 August 178923 May 1857) was a French mathematician, engineer and physicist who made pioneering contributions to several branches of mathematics, including: mathematical analysis and continuum mechanics.
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C. M. Whish
Charles Matthew Whish (1794–1833) was an English civil servant in the Madras Establishment of the East India Company.
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Calculus
Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
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Celestial sphere
In astronomy and navigation, the celestial sphere is an abstract sphere with an arbitrarily large radius concentric to Earth.
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Circle
A circle is a simple closed shape.
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Circumference
In geometry, the circumference (from Latin circumferentia, meaning "carrying around") of a circle is the (linear) distance around it.
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Convergent series
In mathematics, a series is the sum of the terms of an infinite sequence of numbers.
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Cross-multiplication
In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
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Danes
Danes (danskere) are a nation and a Germanic ethnic group native to Denmark, who speak Danish and share the common Danish culture.
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Declination
In astronomy, declination (abbreviated dec; symbol δ) is one of the two angles that locate a point on the celestial sphere in the equatorial coordinate system, the other being hour angle.
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Derivative
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
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Elementary mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels.
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Ellipse
In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.
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Europe
Europe is a continent located entirely in the Northern Hemisphere and mostly in the Eastern Hemisphere.
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Fraction (mathematics)
A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.
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Ganita-yukti-bhasa
Ganita-yukti-bhasa (also written as Ganita Yuktibhasa) is either the title or a part of the title of three different books.
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Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
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Hindu
Hindu refers to any person who regards themselves as culturally, ethnically, or religiously adhering to aspects of Hinduism.
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India
India (IAST), also called the Republic of India (IAST), is a country in South Asia.
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Indian astronomy
Indian astronomy has a long history stretching from pre-historic to modern times.
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Indian Institute of Advanced Study
The Indian Institute of Advanced Study (IIAS) is a research institute based in Shimla, India.
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Indian mathematics
Indian mathematics emerged in the Indian subcontinent from 1200 BC until the end of the 18th century.
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Integral
In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.
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Integral test for convergence
In mathematics, the integral test for convergence is a method used to test infinite series of non-negative terms for convergence.
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Inverse trigonometric functions
In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric functions (with suitably restricted domains).
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Iterative method
In computational mathematics, an iterative method is a mathematical procedure that uses an initial guess to generate a sequence of improving approximate solutions for a class of problems, in which the n-th approximation is derived from the previous ones.
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James Gregory (mathematician)
James Gregory FRS (November 1638 – October 1675) was a Scottish mathematician and astronomer.
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Jyeṣṭhadeva
Jyeṣṭhadeva (Malayalam: ജ്യേഷ്ഠദേവന്) was an astronomer-mathematician of the Kerala school of astronomy and mathematics founded by Sangamagrama Madhava.
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Karanapaddhati
Karanapaddhati is an astronomical treatise in Sanskrit attributed to Puthumana Somayaji, an astronomer-mathematician of the Kerala school of astronomy and mathematics.
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Kerala School of Astronomy and Mathematics
The Kerala School of Astronomy and Mathematics was a school of mathematics and astronomy founded by Madhava of Sangamagrama in Kerala, India, which included among its members: Parameshvara, Neelakanta Somayaji, Jyeshtadeva, Achyuta Pisharati, Melpathur Narayana Bhattathiri and Achyuta Panikkar.
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Logistic function
A logistic function or logistic curve is a common "S" shape (sigmoid curve), with equation: where.
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Madhava of Sangamagrama
Mādhava of Sangamagrāma, was a mathematician and astronomer from the town of Sangamagrama (believed to be present-day Aloor, Irinjalakuda in Thrissur District), Kerala, India.
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Mathematical analysis
Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.
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Mathematical proof
In mathematics, a proof is an inferential argument for a mathematical statement.
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.
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Nilakantha Somayaji
Kelallur Nilakantha Somayaji (also referred to as Kelallur Comatiri; 14 June 1444 – 1544) was a major mathematician and astronomer of the Kerala school of astronomy and mathematics in India.
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Nonlinear system
In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input.
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Orbit
In physics, an orbit is the gravitationally curved trajectory of an object, such as the trajectory of a planet around a star or a natural satellite around a planet.
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Parallax
Parallax is a displacement or difference in the apparent position of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines.
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Parameshvara
Vatasseri Parameshvara Nambudiri (1380–1460) was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by Madhava of Sangamagrama.
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Power series
In mathematics, a power series (in one variable) is an infinite series of the form where an represents the coefficient of the nth term and c is a constant.
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Pythagorean theorem
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
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Right ascension
Right ascension (abbreviated RA; symbol) is the angular distance measured only eastward along the celestial equator from the Sun at the March equinox to the (hour circle of the) point above the earth in question.
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Royal Asiatic Society of Great Britain and Ireland
The Royal Asiatic Society of Great Britain and Ireland, commonly known as the Royal Asiatic Society (RAS), was established, according to its Royal Charter of 11 August 1824, to further "the investigation of subjects connected with and for the encouragement of science, literature and the arts in relation to Asia." From its incorporation the Society has been a forum, through lectures, its journal, and other publications, for scholarship relating to Asian culture and society of the highest level.
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Sadratnamala
Sadratnamala is an astronomical-mathematical treatise in Sanskrit written by Sankara Varman, an astronomer-mathematician of the Kerala school of mathematics, in 1819.
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Series (mathematics)
In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.
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Shastra
Shastra (शास्त्र, IAST) is a Sanskrit word that means "precept, rules, manual, compendium, book or treatise" in a general sense.
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Sine
In mathematics, the sine is a trigonometric function of an angle.
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Spherical trigonometry
Spherical trigonometry is the branch of spherical geometry that deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons (especially spherical triangles) defined by a number of intersecting great circles on the sphere.
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Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
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Square root
In mathematics, a square root of a number a is a number y such that; in other words, a number y whose square (the result of multiplying the number by itself, or) is a. For example, 4 and −4 are square roots of 16 because.
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Squaring the circle
Squaring the circle is a problem proposed by ancient geometers.
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Tantrasamgraha
Tantrasamgraha, or Tantrasangraha, (literally, A Compilation of the System) is an important astronomical treatise written by Nilakantha Somayaji, an astronomer/mathematician belonging to the Kerala school of astronomy and mathematics.
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Taylor series
In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.
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Theorem
In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted statements, such as axioms.
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Treatise
A treatise is a formal and systematic written discourse on some subject, generally longer and treating it in greater depth than an essay, and more concerned with investigating or exposing the principles of the subject.
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Trigonometric functions
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.
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Trigonometric series
A trigonometric series is a series of the form: It is called a Fourier series if the terms A_ and B_ have the form: where f is an integrable function.
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Trigonometry
Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles.
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Tycho Brahe
Tycho Brahe (born Tyge Ottesen Brahe;. He adopted the Latinized form "Tycho Brahe" (sometimes written Tÿcho) at around age fifteen. The name Tycho comes from Tyche (Τύχη, meaning "luck" in Greek, Roman equivalent: Fortuna), a tutelary deity of fortune and prosperity of ancient Greek city cults. He is now generally referred to as "Tycho," as was common in Scandinavia in his time, rather than by his surname "Brahe" (a spurious appellative form of his name, Tycho de Brahe, only appears much later). 14 December 154624 October 1601) was a Danish nobleman, astronomer, and writer known for his accurate and comprehensive astronomical and planetary observations.
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References
[1] https://en.wikipedia.org/wiki/Yuktibhāṣā
