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Fourier Series Most of the phenomena studied in the domain of engineering and science are periodic in nature> For instance, current and voltage in an alternating current circuit. These periodic functions could be analyzed into their constituent components (fundamentals and harmonics) by a process called Fourier analysis. Periodic functions occur frequently in the problems studied [...]
Knots Every one knows from experience how to create a knot. We do this all the time, often unwittingly. Knots whose ends were glued together and their classification form the subject of a branch of Topology known as the Knot Theory. On the left there is a picture of the Left Trefoil knot. On the [...]
Curvature of Surfaces How curved is a curve? How curved is a surface? When is a 'curved surface' flat? We shall only briefly mention curves in the plane and then move on to discuss positive and negative curvature of surfaces. Imagine tracing out the ellipse shown in the diagram. How does the curvature change as [...]
Ding Dong Bell If you wear a different coloured T-shirt every day someone may say that you are "ringing the changes". This expression simply means that you plan for variety rather than keeping things the same. It comes from the the custom of ringing churchbells. In East Anglia, as you look across the fens, villages [...]
