In mathematics, an ellipse is a geometrical figure.

The same matrix of numbers can have a simultaneous second use to describe the shape and orientation of an ellipse and the same matrix of numbers can be used simultaneously in a third way for matrix mathematics to sort out eigenvectors and eigenvalues as explained below.

The resulting ellipse of distortion will also have infinitesimal radius, but by the mathematics of differentials, the ratios of these infinitesimal values are finite.

Next September, after receiving a degree from Yale's Master of Arts in Teaching Program, I will be teaching somewhere -- that much is guaranteed by the present shortage of mathematics teachers.

From the town surveyor, Hans learned drawing and mathematics and, from a university student, some academic subjects.

The term " arithmetic mean " is preferred in mathematics and statistics because it helps distinguish it from other means such as the geometric and harmonic mean.

Ethics cannot be based on the authoritative certainty given by mathematics and logic, or prescribed directly from the empirical findings of science.

In mathematics and computer science, an algorithm ( originating from al-Khwārizmī, the famous Persian mathematician Muḥammad ibn Mūsā al-Khwārizmī ) is a step-by-step procedure for calculations.

He stressed training in awareness of abstracting, using techniques that he had derived from his study of mathematics and science.

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

Ampère engaged in a diverse array of scientific inquiries during the years leading up to his election to the academy — writing papers and engaging in topics from mathematics and philosophy to chemistry and astronomy.

He also applied mathematics in generalizing physical laws from these experimental results.

Two aspects of this attitude deserve to be mentioned: 1 ) he did not only study science from books, as other academics did in his day, but actually observed and experimented with nature ( the rumours starting by those who did not understand this are probably at the source of Albert's supposed connections with alchemy and witchcraft ), 2 ) he took from Aristotle the view that scientific method had to be appropriate to the objects of the scientific discipline at hand ( in discussions with Roger Bacon, who, like many 20th century academics, thought that all science should be based on mathematics ).

He was educated at the Collège des Quatre-Nations ( also known as Collège Mazarin ) from 1754 to 1761, studying chemistry, botany, astronomy, and mathematics.

Grothendieck ’ s way of thinking has influenced generations of mathematicians long after his departure from mathematics.

This program culminated in the proofs of the Weil conjectures, the last of which was settled by Grothendieck's student Pierre Deligne in the early 1970s after Grothendieck had largely withdrawn from mathematics.

Francesco Lana de Terzi, a 17th century Jesuit professor of physics and mathematics from Brescia, Lombardy, has been referred to as the Father of Aeronautics.

Akio, however, found his true calling in mathematics and physics, and in 1944 he graduated from Osaka Imperial University with a degree in physics.

Arithmetic or arithmetics ( from the Greek word ἀριθμός, arithmos " number ") is the oldest and most elementary branch of mathematics, used by almost everyone, for tasks ranging from simple day-to-day counting to advanced science and business calculations.

Stroustrup has a master's degree in mathematics and computer science ( 1975 ) from the University of Aarhus, Denmark, and a Ph. D. in computer science ( 1979 ) from the University of Cambridge, England, where he was a student at Churchill College.

In mathematics, the Borsuk – Ulam theorem, named after Stanisław Ulam and Karol Borsuk, states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point.

Similarly, the influences of philosophers such as Sir Francis Bacon ( 1561 – 1626 ) and René Descartes ( 1596 – 1650 ), who demanded more rigor in mathematics and in removing bias from scientific observations, led to a scientific revolution.

A term dating from the 1940s, " general abstract nonsense ", refers to its high level of abstraction, compared to more classical branches of mathematics.

In mathematics, specifically general topology and metric topology, a compact space is a mathematical space in which any infinite collection of points sampled from the space must — as a set — be arbitrarily close to some point of the space.

Though Gauss had up to that point been financially supported by his stipend from the Duke, he doubted the security of this arrangement, and also did not believe pure mathematics to be important enough to deserve support.

Category: Greek mathematics

Linnaeus entered the Växjö Gymnasium in 1724, where he studied mainly Greek, Hebrew, theology and mathematics, a curriculum designed for boys preparing for the priesthood.

These Greek city-states reached great levels of prosperity that resulted in an unprecedented cultural boom, that of classical Greece, expressed in architecture, drama, science, mathematics and philosophy, and nurtured in Athens under a democratic government.

* Greek letters used in mathematics, science, and engineering

The Arithmetica is the major work of Diophantus and the most prominent work on algebra in Greek mathematics.

However, Valla added the translation of ancient Greek works on mathematics ( firstly by Archimedes ), newly discovered and translated.

In the early modern age, Victorian schools were reformed to teach commercially useful topics, such as modern languages and mathematics, rather than classical subjects, such as Latin and Greek.

Greek words have been widely borrowed into other languages, including English: mathematics, physics, astronomy, democracy, philosophy, thespian, athletics, theatre, rhetoric, baptism, evangelist etc.

In mathematics, the gamma function ( represented by the capital Greek letter Γ ) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.

Greek mathematician Archimedes, famous for his ideas regarding fluid mechanics and buoyancyIn the 3rd century BCE, the Greek mathematician Archimedes of Syracuse ( ( 287 BCE-212 BCE )-generally considered to be the greatest mathematician of antiquity and one of the greatest of all time-laid the foundations of hydrostatics, statics and calculated the underlying mathematics of the lever.

The study of mathematics as a subject in its own right begins in the 6th century BC with the Pythagoreans, who coined the term " mathematics " from the ancient Greek μάθημα ( mathema ), meaning " subject of instruction ".

Greek mathematics greatly refined the methods ( especially through the introduction of deductive reasoning and mathematical rigor in proofs ) and expanded the subject matter of mathematics.

Many Greek and Arabic texts on mathematics were then translated into Latin, which led to further development of mathematics in medieval Europe.

He held many college offices, becoming successively lecturer in Greek ( 1651 ), mathematics ( 1653 ), and humanity ( 1655 ), praelector ( 1657 ), junior dean ( 1657 ), and college steward ( 1659 and 1660 ); and according to the habit of the time, he was accustomed to preach in his college chapel and also at Great St Mary's, long before he took holy orders on 23 December 1660.

His studies included Latin, Greek, science, geography, mathematics, rhetoric, and philosophy.

Hutton's mother-Sarah Balfour-insisted on his education at the High School of Edinburgh where he was particularly interested in mathematics and chemistry, then when he was 14 he attended the University of Edinburgh as a " student of humanity " i. e. Classics ( Latin and Greek ).

He exhibited great manual dexterity, engineering skills and an aptitude for mathematics, while Latin and Greek failed to interest him.

* Greek letters used in mathematics, science, and engineering

In mathematics, a lemma ( plural lemmata or lemmas ) from the Greek λῆμμα ( lemma, “ anything which is received, such as a gift, profit, or a bribe ”) is a proven proposition which is used as a stepping stone to a larger result rather than as a statement of interest by itself.