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103 relations: Algebra, Area, Arithmetic, Armillary sphere, Arya metre, Aryabhata, Astronomer, Astronomy, Bhaskara (satellite), Bhāskara I, Bhāskara's wheel, Bijaganita, Bijjaragi, Brahmagupta, Calculus, Chakravala method, Combination, Common Era, Conjunction (astronomy), Cosmography, Crescent, Cross-multiplication, Cubic function, Deferent and epicycle, Derivative, Differential (infinitesimal), Differential (mathematics), Differential calculus, Diophantine equation, Diurnal motion, Division (mathematics), Eccentricity (mathematics), Ecliptic, Ellipse, France, Geography, Gnomon, Gottfried Wilhelm Leibniz, Hindu units of time, Indeterminate (variable), Indeterminate equation, India, Indian mathematics, Indian Space Research Organisation, Infinitesimal, Integral, Interest, Irrational number, Isaac Newton, Karnataka, ..., Kerala School of Astronomy and Mathematics, Kuṭṭaka, Latitude, Līlāvatī, Leonhard Euler, List of Indian mathematicians, Longitude, Lunar eclipse, Madhava of Sangamagrama, Mahāvīra (mathematician), Mathematical analysis, Mean motion, Mean value theorem, Measurement, Moon, Multiplication, Negative number, Non-standard calculus, Nth root, Parameshvara, Pell's equation, Penguin Books, Perpetual motion, Pi, Pierre de Fermat, Plane (geometry), Planet, Pythagorean theorem, Quadratic equation, Quartic function, Renaissance, Rolle's theorem, Sanskrit, Season, Shaka era, Siddhānta Shiromani, Sidereal year, Solar eclipse, Solid geometry, Sphere, Spherical trigonometry, Square (algebra), Square root, Sridhara, Star, Sunrise equation, Syzygy (astronomy), Trigonometry, Ujjain, Undergraduate Texts in Mathematics, University of St Andrews, Western Ghats, 0. Expand index (53 more) »
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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Area
Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane.
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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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Armillary sphere
An armillary sphere (variations are known as spherical astrolabe, armilla, or armil) is a model of objects in the sky (on the celestial sphere), consisting of a spherical framework of rings, centred on Earth or the Sun, that represent lines of celestial longitude and latitude and other astronomically important features, such as the ecliptic.
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Arya metre
Āryā meter is a meter used in Sanskrit and Prakrit verses.
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Aryabhata
Aryabhata (IAST) or Aryabhata I (476–550 CE) was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy.
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Astronomer
An astronomer is a scientist in the field of astronomy who concentrates their studies on a specific question or field outside the scope of Earth.
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Astronomy
Astronomy (from ἀστρονομία) is a natural science that studies celestial objects and phenomena.
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Bhaskara (satellite)
Bhaskara-I and II were two satellites built by the Indian Space Research Organisation that formed India's first low orbit Earth Observation Satellite.
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Bhāskara I
Bhāskara (c. 600 – c. 680) (commonly called Bhaskara I to avoid confusion with the 12th century mathematician Bhāskara II) was a 7th-century mathematician, who was the first to write numbers in the Hindu decimal system with a circle for the zero, and who gave a unique and remarkable rational approximation of the sine function in his commentary on Aryabhata's work.
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Bhāskara's wheel
Bhāskara's wheel was invented in 1150 by Bhāskara II, an Indian mathematician, in an attempt to create a hypothetical perpetual motion machine.
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Bijaganita
Bijaganita was Indian mathematician Bhāskara II's treatise on algebra.
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Bijjaragi
Bijjargi is a village in the State of Karnataka, India.
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Brahmagupta
Brahmagupta (born, died) was an Indian mathematician and astronomer.
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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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Chakravala method
The chakravala method (चक्रवाल विधि) is a cyclic algorithm to solve indeterminate quadratic equations, including Pell's equation.
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Combination
In mathematics, a combination is a selection of items from a collection, such that (unlike permutations) the order of selection does not matter.
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Common Era
Common Era or Current Era (CE) is one of the notation systems for the world's most widely used calendar era – an alternative to the Dionysian AD and BC system.
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Conjunction (astronomy)
In astronomy, a conjunction occurs when two astronomical objects or spacecraft have either the same right ascension or the same ecliptic longitude, usually as observed from Earth.
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Cosmography
Cosmography is the science that maps the general features of the cosmos or universe, describing both heaven and Earth (but without encroaching on geography or astronomy).
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Crescent
A crescent shape (British English also) is a symbol or emblem used to represent the lunar phase in the first quarter (the "sickle moon"), or by extension a symbol representing the Moon itself.
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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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Cubic function
In algebra, a cubic function is a function of the form in which is nonzero.
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Deferent and epicycle
In the Hipparchian and Ptolemaic systems of astronomy, the epicycle (from ἐπίκυκλος, literally upon the circle, meaning circle moving on another circle) was a geometric model used to explain the variations in speed and direction of the apparent motion of the Moon, Sun, and planets.
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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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Differential (infinitesimal)
The term differential is used in calculus to refer to an infinitesimal (infinitely small) change in some varying quantity.
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Differential (mathematics)
In mathematics, differential refers to infinitesimal differences or to the derivatives of functions.
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Differential calculus
In mathematics, differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change.
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Diophantine equation
In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such that all the unknowns take integer values).
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Diurnal motion
Diurnal motion (lit, from dies, lit. "day") is an astronomical term referring to the apparent daily motion of stars around Earth, or more precisely around the two celestial poles.
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Division (mathematics)
Division is one of the four basic operations of arithmetic, the others being addition, subtraction, and multiplication.
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Eccentricity (mathematics)
In mathematics, the eccentricity, denoted e or \varepsilon, is a parameter associated with every conic section.
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Ecliptic
The ecliptic is the circular path on the celestial sphere that the Sun follows over the course of a year; it is the basis of the ecliptic coordinate system.
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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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France
France, officially the French Republic (République française), is a sovereign state whose territory consists of metropolitan France in Western Europe, as well as several overseas regions and territories.
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Geography
Geography (from Greek γεωγραφία, geographia, literally "earth description") is a field of science devoted to the study of the lands, the features, the inhabitants, and the phenomena of Earth.
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Gnomon
A gnomon (from Greek γνώμων, gnōmōn, literally: "one that knows or examines") is the part of a sundial that casts a shadow.
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Gottfried Wilhelm Leibniz
Gottfried Wilhelm (von) Leibniz (or; Leibnitz; – 14 November 1716) was a German polymath and philosopher who occupies a prominent place in the history of mathematics and the history of philosophy.
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Hindu units of time
Hindu texts describe units of Kala measurements, from microseconds to Trillions of years.
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Indeterminate (variable)
In mathematics, and particularly in formal algebra, an indeterminate is a symbol that is treated as a variable, but does not stand for anything else but itself and is used as a placeholder in objects such as polynomials and formal power series.
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Indeterminate equation
An indeterminate equation, in mathematics, is an equation for which there is more than one solution; for example, 2x.
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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 mathematics
Indian mathematics emerged in the Indian subcontinent from 1200 BC until the end of the 18th century.
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Indian Space Research Organisation
The Indian Space Research Organisation (ISRO) is the space agency of the Government of India headquartered in the city of Bangalore.
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Infinitesimal
In mathematics, infinitesimals are things so small that there is no way to measure them.
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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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Interest
Interest is payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum (i.e., the amount borrowed), at a particular rate.
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Irrational number
In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.
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Isaac Newton
Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, astronomer, theologian, author and physicist (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time, and a key figure in the scientific revolution.
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Karnataka
Karnataka also known Kannada Nadu is a state in the south western region of India.
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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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Kuṭṭaka
Kuṭṭaka is an algorithm for finding integer solutions of linear Diophantine equations.
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Latitude
In geography, latitude is a geographic coordinate that specifies the north–south position of a point on the Earth's surface.
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Līlāvatī
The Līlāvatī is Indian mathematician Bhāskara II's treatise on mathematics, written in 1150.
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Leonhard Euler
Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.
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List of Indian mathematicians
The chronology of Indian mathematicians spans from the Indus Valley Civilization and the Vedas to Modern India.
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Longitude
Longitude, is a geographic coordinate that specifies the east-west position of a point on the Earth's surface.
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Lunar eclipse
A lunar eclipse occurs when the Moon passes directly behind Earth and into its shadow.
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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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Mahāvīra (mathematician)
Mahāvīra (or Mahaviracharya, "Mahavira the Teacher") was a 9th-century Jain mathematician from Karnataka, 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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Mean motion
In orbital mechanics, mean motion (represented by n) is the angular speed required for a body to complete one orbit, assuming constant speed in a circular orbit which completes in the same time as the variable speed, elliptical orbit of the actual body.
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Mean value theorem
In mathematics, the mean value theorem states, roughly, that for a given planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints.
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Measurement
Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or events.
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Moon
The Moon is an astronomical body that orbits planet Earth and is Earth's only permanent natural satellite.
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Multiplication
Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.
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Negative number
In mathematics, a negative number is a real number that is less than zero.
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Non-standard calculus
In mathematics, non-standard calculus is the modern application of infinitesimals, in the sense of non-standard analysis, to differential and integral calculus.
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Nth root
In mathematics, an nth root of a number x, where n is usually assumed to be a positive integer, is a number r which, when raised to the power n yields x: where n is the degree of the root.
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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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Pell's equation
Pell's equation (also called the Pell–Fermat equation) is any Diophantine equation of the form where n is a given positive nonsquare integer and integer solutions are sought for x and y. In Cartesian coordinates, the equation has the form of a hyperbola; solutions occur wherever the curve passes through a point whose x and y coordinates are both integers, such as the trivial solution with x.
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Penguin Books
Penguin Books is a British publishing house.
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Perpetual motion
Perpetual motion is motion of bodies that continues indefinitely.
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Pi
The number is a mathematical constant.
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Pierre de Fermat
Pierre de Fermat (Between 31 October and 6 December 1607 – 12 January 1665) was a French lawyer at the Parlement of Toulouse, France, and a mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality.
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Plane (geometry)
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
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Planet
A planet is an astronomical body orbiting a star or stellar remnant that is massive enough to be rounded by its own gravity, is not massive enough to cause thermonuclear fusion, and has cleared its neighbouring region of planetesimals.
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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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Quadratic equation
In algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form where represents an unknown, and,, and represent known numbers such that is not equal to.
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Quartic function
In algebra, a quartic function is a function of the form where a is nonzero, which is defined by a polynomial of degree four, called a quartic polynomial.
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Renaissance
The Renaissance is a period in European history, covering the span between the 14th and 17th centuries.
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Rolle's theorem
In calculus, Rolle's theorem essentially states that any real-valued differentiable function that attains equal values at two distinct points must have at least one stationary point somewhere between them—that is, a point where the first derivative (the slope of the tangent line to the graph of the function) is zero.
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Sanskrit
Sanskrit is the primary liturgical language of Hinduism; a philosophical language of Hinduism, Sikhism, Buddhism and Jainism; and a former literary language and lingua franca for the educated of ancient and medieval India.
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Season
A season is a division of the year marked by changes in weather, ecology, and amount of daylight.
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Shaka era
The Shaka era (IAST: Śaka era) is a historical calendar era, corresponding to Julian year 78.
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Siddhānta Shiromani
Siddhānta Śiromani (Sanskrit: सिद्धांत शिरोमणी for "Crown of treatises") is the major treatise of Indian mathematician Bhāskara II.
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Sidereal year
A sidereal year (from Latin sidus "asterism, star") is the time taken by the Earth to orbit the Sun once with respect to the fixed stars.
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Solar eclipse
A solar eclipse (as seen from the planet Earth) is a type of eclipse that occurs when the Moon passes between the Sun and Earth, and when the Moon fully or partially blocks ("occults") the Sun.
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Solid geometry
In mathematics, solid geometry is the traditional name for the geometry of three-dimensional Euclidean space.
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Sphere
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
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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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Square (algebra)
In mathematics, a square is the result of multiplying a number by itself.
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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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Sridhara
Sridharacharya (শ্রীধর আচার্য; c. 750 CE – c. 930 CE) was an Indian mathematician, Sanskrit pandit and philosopher.
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Star
A star is type of astronomical object consisting of a luminous spheroid of plasma held together by its own gravity.
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Sunrise equation
The sunrise equation as follows can be used to derive the time of sunrise and sunset for any solar declination and latitude in terms of local solar time when sunrise and sunset actually occur: where.
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Syzygy (astronomy)
In astronomy, a syzygy (from the Ancient Greek σύζυγος suzugos meaning, "yoked together") is a (usually) straight-line configuration of three or more celestial bodies in a gravitational system.
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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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Ujjain
Ujjain is the largest city in Ujjain district of the Indian state of Madhya Pradesh.
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Undergraduate Texts in Mathematics
Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag.
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University of St Andrews
The University of St Andrews (informally known as St Andrews University or simply St Andrews; abbreviated as St And, from the Latin Sancti Andreae, in post-nominals) is a British public research university in St Andrews, Fife, Scotland.
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Western Ghats
Western Ghats also known as Sahyadri (Benevolent Mountains) is a mountain range that runs parallel to the western coast of the Indian peninsula, located entirely in India.
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0
0 (zero) is both a number and the numerical digit used to represent that number in numerals.
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References
[1] https://en.wikipedia.org/wiki/Bhāskara_II
