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The collapse of the Tacoma Narrows bridge in the 1940s, the destruction of cooling towers at the Ferrybridge Power Station and the loss of two Lockheed Electra aircraft in the 1950s were all caused by a...
A: Explores the mathematical properties of circles. Uses animations to explain geometrical and trigometric relationships and uses short live-action sequences to reflect the cultural and historical diversity...
An overview of some uses for linear transformations, rotations in particular, and how they rely on matrix manipulation. Case studies include IKEA kitchens, news graphics and RAF cockpit research.
Shows how matrix algebra can be used to solve a famous mathematical problem first posed by the 13th-century Italian mathematician Fibonacci. The problem concerns pairs of rabbits which breed and produce new...
Looks at how matrix multiplication can be reprersented by a geometric transformation and how, by decomposition, the calculation of powers of matrices can be simplified.
Shows how some geometric transformations such as translation and rotation can be reduced to a series of algebraic caluculations using 2 x 2 matrices. Begins by considering a problem of finding the area of a...
Recording of a lecture given by Professor W Ledermann in the London Mathematical Society’s Popular Lecture Series. Professor W Ledermann describes the revolutionary paper in 1858 by Cayley and the change...
Explores an application of matrices. The problem is how to find the co-ordinates of a point in three dimensions after a change of axes. There are two states to the problem. First, a change of origin, which...
Matrices acting in column vectors correspond to transformations of vectors: graphically vectors are shown being moved and changing their length. But some vectors don’t change direction, and their length...
Examines how to describe the flow through a network and how the descriptions of two separate networks come together when the networks themselves are joined. Uses diagrams and animations to show how a flow in...
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