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The Concise Oxford Dictionary of Mathematics by Clapham C., Nicholson J.

24 February 2017 adminMathematics

By Clapham C., Nicholson J.

Authoritative and trustworthy, this wonderful reference includes greater than 3,000 alphabetically prepared entries, offering transparent jargon-free definitions of even the main technical mathematical phrases. Ranging commonly from Achilles paradox to 0 matrix, the dictionary makes use of graphs, diagrams, and charts to render definitions as understandable as attainable, delivering a terrific creation to matters such linear algebra, optimization, nonlinear equations, and differential equations. The Dictionary covers either natural and utilized arithmetic in addition to information, and there are entries on significant mathematicians and on arithmetic of extra normal curiosity, reminiscent of fractals, video game idea, and chaos. the amount additionally comprises necessary appendices of priceless and correct additional info, together with lists of Nobel Prize winners and Fields medalists and lists of formulae. totally revised and up-to-date, this version positive factors many entry-level net hyperlinks, that are obtainable and regularly up to date through the Dictionary of arithmetic better half site, making the e-book quintessential for college kids and academics of arithmetic and for somebody encountering arithmetic within the office.

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His most fascinating work, The Method, was rediscovered as recently as 1906. He may or may not have shouted ‘Eureka’ and run naked through the streets, but he was certainly murdered by a Roman soldier, an event that marks the end of an era in mathematics. 57 Archimedean spiral. Archimedes’ method Take a circle. Computing areas or perimeters of *inscribed and *circumscribed n-sided polygons generates two sequences, the first of which all underestimate the corresponding measurement of the circle, and the second sequence are all overestimates.

Apex (apices) See BASE (of a triangle) and PYRAMID. aphelion See APSE. apogee See APSE. Apollonius’ circle Given two points A and B in the plane and a constant k, the locus of all points P such that AP/PB = k is a circle. A circle obtained like this is an Apollonius’ circle. Taking k = 1 gives a straight line, so either this value must be excluded or, in this context, a straight line must be considered to be a special case of a circle. In the figure, k = 2. 52 • An interactive webpage where you can alter the ratio to see how the circle changes.

Additive inverse See INVERSE ELEMENT. adherent point A point of the *closure of a set. ad infinitum Repeating infinitely many times. adj Abbreviation for *adjoint. adjacency matrix For a *simple graph G, with n vertices v1, v2, …, vn, the adjacency matrix A is the n × n matrix [aij] 31 with aij = 1, if vi is joined to vj, and aij = 0, otherwise. The matrix A is *symmetric and the diagonal entries are zero. The number of ones in any row (or column) is equal to the *degree of the corresponding vertex.

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