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Developing conic sections and focusing on the several projective definitions, namely those that are devoid of metric notions. Such a projective definition implies the construction of a conic by means of...
These two computer-animated films describe and prove an elementary theorem on topology known as the Whitney-Graustein theorem: two regular curves in the plane are regularly homotopic if, and only if they...
Presents two examples of space filling curves - continuous curves passing through every point in a square. The curves are constructed graphically as limit curves, using a computer animated sequence of...
Frequency distributions. Diagrammatic representation, measures of location and dispersion. Probability - elementary ideas and processes. Random variables. Binomial, Poisson and normal distributions. Tests of...
Symmetry elements and symmetry operations of molecular point groups are defined and discussed. Slides of three-dimensional models are used to illustrate the various elements and operations.
Defines the unity bracket and shows five different applications, which are everyday life; to convert physical quantities from one system of units to another system of units; to express physical quantities...
Part 1: Derivation. A consideration of the derivation of equations for isothermal fluid flow. General arguments of continuity are applied to fluid flows. Part 2: Fluid stress/strain. Rates of fluid stress...
1: Introduces the subject of mathematical programming and establishes national conventions, which appear as a general statement and in specialised application to linear minimum problem. The geometry of this...
The symmetries of a square are exhibited as products of reflections. The octahedral group is studied via reflections produced by an octahedral kaleidoscope, and it is shown how the construction of these is...
Explains the use of Chamber’s four-figure mathematical tables by L J Comrie in an elementary manner. Explains the use of the tables for logarithms, trigonometrical functions and square roots, and presents...
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