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Longman's New Concept English by L. G. Alexander is a popular English language textbook teaching the British rules of English. The course was first published on October 30, 1967. [1] A revised edition, which was "specifically prepared for Chinese learners", [2] came out in 1997. The course consists of four components: The Students' Book; The ...
Louis George Alexander (15 January 1932 – 17 June 2002) (commonly referred to as L. G. Alexander) was a British teacher and the author of numerous EFL course books, including New Concept English. In 1977, he sold 4.7m books, which was recorded in the Guinness Book of Records as the greatest number of copies sold by an individual author in one ...
Analytic geometry is the study of geometry using a coordinate system. This contrasts with synthetic geometry . Usually the Cartesian coordinate system is applied to manipulate equations for planes , straight lines , and squares , often in two and sometimes in three dimensions.
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Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2] Geometry is, along with arithmetic, one of the oldest ...
Birkhoff's axiomatic system was utilized in the secondary-school textbook by Birkhoff and Beatley. [2] These axioms were also modified by the School Mathematics Study Group to provide a new standard for teaching high school geometry, known as SMSG axioms. A few other textbooks in the foundations of geometry use variants of Birkhoff's axioms. [3]
Geometry of numbers is the part of number theory which uses geometry for the study of algebraic numbers. Typically, a ring of algebraic integers is viewed as a lattice in R n , {\displaystyle \mathbb {R} ^{n},} and the study of these lattices provides fundamental information on algebraic numbers. [ 1 ]
In the 1960s a new set of axioms for Euclidean geometry, suitable for American high school geometry courses, was introduced by the School Mathematics Study Group (SMSG), as a part of the New math curricula. This set of axioms follows the Birkhoff model of using the real numbers to gain quick entry into the geometric fundamentals.