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Longman Dictionary of Contemporary English
mathematics
noun
COLLOCATIONS FROM OTHER ENTRIES
a branch of mathematics/physics/biology etc
higher mathematics
teach (sb) English/mathematics/history etc
▪ He taught geography at the local secondary school.
COLLOCATIONS FROM CORPUS
■ ADJECTIVE
applied
▪ A good part of engineering is applied mathematics.
▪ Options are also available in modern applied mathematics.
▪ Previous study of statistics, computing and applied mathematics is not a requirement.
▪ On his return in 1891, Knott was appointed lecturer in mathematics and in 1892 reader in applied mathematics at Edinburgh University.
high
▪ The latter process demands a knowledge of higher mathematics, the strength of materials and thousands of bits of wisdom.
▪ But anomalies like these should not be blamed on linguistics, higher mathematics or the new history.
▪ Half of the high school mathematics teachers in California are said to lack even a minor in math.
▪ They found that young people with higher basic mathematics and reading skills earned more in the labor market.
pure
▪ Even in pure mathematics, he met with one bitter disappointment.
▪ This was in addition to its being an elegant and logical piece of pure mathematics.
▪ It was a piece of pure mathematics that could easily be applied to letters and pictures on a page.
▪ And it is not some realm of pure mathematics, which is in itself a mere abstraction.
▪ Applications within pure mathematics other than those found in the text are far too numerous and diverse to mention here.
▪ There are no other types of proposition except pure mathematics and logic.
▪ Mathematics 1A is a traditional first-year pure mathematics course covering calculus, analysis and algebra.
■ NOUN
curriculum
▪ I often ask to see rough work from other areas of the mathematics curriculum.
▪ We are long overdue for a complete overhaul of the mathematics curriculum at all levels.
▪ The principles of design which emerge from this development will be available for application to further areas of the mathematics curriculum.
▪ The mathematics curriculum is much broader now than it was at the time of the 11+.
▪ At Thomas Buxton school developing our mathematics curriculum is a continuing process.
▪ It is against this background that we turn to the mathematics curriculum and ask what mathematics is relevant to real life.
▪ As: The primary mathematics curriculum was arithmetic.
education
▪ The history of education in general, and mathematics education in particular, is riddled with attempts to nullify basic tensions.
▪ Charles Godfrey, who helped found mathematics education as a discipline in its own right.
school
▪ Half of the high school mathematics teachers in California are said to lack even a minor in math.
▪ Let us consider an example taken from familiar school mathematics.
teacher
▪ I was welcomed as the new physics teacher, although I had expressly stated that I was primarily a mathematics teacher.
▪ Half of the high school mathematics teachers in California are said to lack even a minor in math.
■ VERB
apply
▪ We often deprive our students of the ability to apply their mathematics.
learn
▪ Alternatively, girls would have to be presumed to have a lower ability to learn mathematics than boys.
▪ I have learned that there are no special practices or techniques we must learn in order to teach mathematics to our bilingual children.
▪ Assessing the effectiveness of learning mathematics by investigative methods; an open learning approach to investigative methods in mathematics.
▪ Using business software can make a great deal of difference to learning mathematics, because of its flexible open-ended nature as described above.
study
▪ Smith was brought up in Newark in Nottinghamshire and he left his home town to study mathematics at Leeds University.
▪ Entered University of Chicago at 15 to study mathematics and philosophy.
▪ I studied mathematics for some years at school and I have not totally forgotten all of them.
▪ In the evenings he studied metallurgy and mathematics until the age of twenty-two.
▪ John Hebbes was a second year student, studying mathematics.
▪ He studied languages, mathematics, and philosophy at Trinity College, Dublin, where he became a Fellow in 1707.
teach
▪ My experience as a learner has markedly affected the way I teach mathematics.
▪ The new standards are part of a revolution in the teaching of mathematics that parallels the revolution in the teaching of writing.
▪ I have learned that there are no special practices or techniques we must learn in order to teach mathematics to our bilingual children.
▪ For the past three years, he taught mathematics at Sonoma State University and led protests against higher student fees.
▪ Now that the study of Latin has declined, interest has focused on how problem solving is taught in mathematics classes.
▪ In 1985 she stopped teaching college mathematics, dumped her belongings and trashed her apartment.
▪ It was, however, a shock to find out that, as a teacher, I was responsible for teaching mathematics.
use
▪ You can now use straight forward mathematics to work out the distance between your finger and your face.
▪ We use a mathematics that other people evolved...
▪ The first was to use mathematics, the second was to ask Einstein.
▪ We need to look more closely at the applications of mathematics and to consider using mathematics to challenge racist assumptions.
▪ All centres using National Certificate mathematics provision were requested to submit comments which would be of assistance to the review.
▪ Digital or computer simulation uses the medium of mathematics to represent a system and its behaviour.
EXAMPLES FROM CORPUS
▪ He talked about them as if they, like mathematics, were a subject to be mastered.
▪ I often ask to see rough work from other areas of the mathematics curriculum.
▪ In the same vein there has been a long-standing tendency to equate rationality with logic, and logic with mathematics.
▪ It said that girls were overlooked in the classroom and trailed boys in mathematics and computer science.
▪ ProTech students were taking more rigorous mathematics and science courses than their peers, although their grades were not substantially better.
▪ The book of nature, he insisted, had been written in the language of mathematics.
▪ Three schoolmasters lived in the house: one taught Latin, one mathematics and one music.
The Collaborative International Dictionary
Mathematics

Mathematics \Math`e*mat"ics\, n. [F. math['e]matiques, pl., L. mathematica, sing., Gr. ? (sc. ?) science. See Mathematic, and -ics.] That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations. Note: Mathematics embraces three departments, namely:

  1. Arithmetic.

  2. Geometry, including Trigonometry and Conic Sections.

  3. Analysis, in which letters are used, including Algebra, Analytical Geometry, and Calculus. Each of these divisions is divided into pure or abstract, which considers magnitude or quantity abstractly, without relation to matter; and mixed or applied, which treats of magnitude as subsisting in material bodies, and is consequently interwoven with physical considerations.

Douglas Harper's Etymology Dictionary
mathematics

1580s; see mathematic + -ics. Originally denoting the mathematical sciences collectively, including geometry, astronomy, optics.

Wiktionary
mathematics

n. 1 An abstract representational system used in the study of numbers, shapes, structure, change and the relationships between these concepts. 2 A person's ability to count, calculate, and use different systems of mathematics at differing levels.

WordNet
mathematics

n. a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement [syn: math, maths]

Wikipedia
Mathematics

Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity ( numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.

Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.

Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.

Galileo Galilei (1564–1642) said, "The universe cannot be read until we have learned the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word. Without these, one is wandering about in a dark labyrinth." Carl Friedrich Gauss (1777–1855) referred to mathematics as "the Queen of the Sciences". Benjamin Peirce (1809–1880) called mathematics "the science that draws necessary conclusions". David Hilbert said of mathematics: "We are not speaking here of arbitrariness in any sense. Mathematics is not like a game whose tasks are determined by arbitrarily stipulated rules. Rather, it is a conceptual system possessing internal necessity that can only be so and by no means otherwise." Albert Einstein (1879–1955) stated that "as far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."

Mathematics is essential in many fields, including natural science, engineering, medicine, finance and the social sciences. Applied mathematics has led to entirely new mathematical disciplines, such as statistics and game theory. Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind. There is no clear line separating pure and applied mathematics, and practical applications for what began as pure mathematics are often discovered.

Mathematics (producer)

Mathematics, also known as Allah Mathematics, (born: Ronald Maurice Bean) is a hip hop producer and DJ for the Wu-Tang Clan and its solo and affiliate projects.

Mathematics (disambiguation)

Mathematics is the body of knowledge justified by deductive reasoning about abstract structures, starting from axioms and definitions.

Mathematics may also refer to

Mathematics (UIL)

Mathematics (sometimes referred to as General Math, to distinguish it from other mathematics-related events) is one of several academic events sanctioned by the University Interscholastic League. It is also a competition held by the Texas Math and Science Coaches Association, using the same rules as the UIL.

Mathematics is designed to test students' understanding of advanced mathematics. The UIL contest began in 1943, and is among the oldest of all UIL academic contests.

Mathematics (song)

"Mathematics" is a b-side single from Mos Def's solo debut album, Black on Both Sides. It contains lyrics about various social issues and asks the listener to add them up and come to conclusions about them. Many references to numbers are found in this song and at times, Mos Def rhymes statistics in numerical order. The song highlights the differences between the White and African-American citizens of the US and uses the lyrics "Do your math..." (from Erykah Badu's " On & On") telling young African-American's to 'do their maths' so they can avoid being part of the numerous degrading statistics he raps about in the opening and third verses of the song. The song is produced by DJ Premier whose famous scratch samples make up the song's bridge. Premier has called it one of his favorite beats.

It can be found on the soundtrack of Madden NFL 2002. The song is also played briefly in the CSI: Crime Scene Investigation episode " Crate 'n' Burial".

Mathematics (Cherry Ghost song)

"Mathematics" is the debut single from Manchester band Cherry Ghost. It was released as a digital download on March 26, 2007 and on CD and 7" vinyl on April 9, 2007. It went to #57 on the UK singles chart. "Mathematics" acquired the title "song of the week" on BBC Radio 2 in early 2007, and Zane Lowe of BBC Radio 1 declared the song "the hottest record in the world" in February 2007. Jimi Goodwin of Doves plays bass and drums on the single. The B-side "Junebug" is a Sparklehorse cover.

The song'a inspiration is likely to stem from songwriter Simon Aldred's Bachelor's degree was in Pure Mathematics from the University of Leeds.

Two music videos were made for the song. The first, a self-produced video featuring a man in a bird costume, was posted in late 2006. The second, featuring Simon Aldred's family home movies, appeared on Heavenly Records' website in early 2008.

Mathematics (Melissa Manchester album)

Mathematics is the twelfth studio album by singer-songwriter Melissa Manchester, issued in April 1985.

Usage examples of "mathematics".

The mathematics of ballistics and astronautics were simpler, rather than more complicated, than the ballistic formulae that he had once used in predicting fall of shot.

Bean sleeping bag 4,000 feet up in a frosty meadow thirty miles south of Lake Tahoe wrapped around a skinny naked thirty-something beardy professor of mathematics from a fairly undistinguished new university who has always been a hell of a lot luckier at cards than at love?

Mac was impressed with the bespectacled lieutenant, who had recently graduated from the University of Michigan with a degree in advanced mathematics.

Egg of Manyness, this great womb of pattern forming, is thus partially expressible by geometry and mathematics, as indeed it is by any terminology or language which describes relationships.

As for Monopolar Mechanics, you would have to master Mathematics as well as three or four other subjects before you could even begin to study the field.

The morphology database includes abbreviated music and mathematics tables.

He paltered, shifting on his feet, his brow contracted in perplexity, as if I had propounded some intricate trifle of the higher mathematics.

Hellenistic mathematics: Menelaus of Alexandria, Heron of Alexandria, Diophantus of Alexandria, Pappus of Alexandria and Proclus of Alexandria all built on Euclid, Archimedes, Apollonius and Ptolemy.

And a sizeable part of the physics and mathematics community is becoming increasingly convinced that string theory may provide the answer.

Certain brutal mathematics hinted that no end was coming, that the superheated bubble would grow and grow, and within another million years, the Milky Way would have vanished, its plasmatic ash racing toward the living worlds of Andromeda.

Those geodesic forms could not have been built without prestressed concrete or something more sophisticated, not to mention the engineering mathematics.

James Thomson, was the author of several mathematical text-books, and occupied for some time the position of lecturer on mathematics at the Royal Academical Institute in Belfast, from whence he was transferred to the mathematical professorship of Glasgow University.

Through mathematics, we can describe the quanta holistically, but through observation, we can only document one event, much like seeing a single facet of a cut diamond.

In the Composition, Music encompasses the four quartals of Canon Law, Mathematics, Esthetics, and Medicine, and their connecting disciplines, the conjuncts of Ethics, Science, Communication, and Spirit.

As for the other two quartals, he had shone in Esthetics and dimmed in Mathematics, but where the two overlapped at the conjunct of Communication, he felt comfortable enough.