### Approximating the sum of an infinite series (3)

In the last post I looked at Aitken’s delta-squared process, and showed its applicability to summing some alternating series. But…

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# Category: Computation

### Approximating the sum of an infinite series (3)

### Approximating the sum of an infinite series (2)

### Approximating the sum of an infinite series

### Tuning and temperament (5): Meantone and the syntonic comma

### Tuning and Temperament (4): Tempering the cycle of fifths

### Tuning and temperament (3): Just Intonation and Equal Temperament

### Tuning and temperaments

### Curious results of an incorrect “theorem”

### Chebyshev approximation and Clenshaw-Curtis quadrature

### Tanh-sinh quadrature (2)

Various things, mostly mathematical

In the last post I looked at Aitken’s delta-squared process, and showed its applicability to summing some alternating series. But…

Before we begin, some basic definitions. Suppose is a sequence that converges to a limit . We say that the…

I started thing about this as I was preparing some material on the use of Matlab for teaching engineering mathematics…

The Pythagorean comma may be considered as the difference in two ways of tuning 84 semitones: either as 12 fifths,…

We have seen that 12 justly tuned fifths will overshoot 7 octaves, so in order for them to match up,…

We have seen in previous posts on this topic that: The perfect fifth corresponds to a frequency ration of 3/2…

When I was tuning my bass viol the other day, I wondered if I was getting the best out of…

I hope all readers of this blog (all three of you – you know who you are!) have heard of,…

Newton-Cotes integration and Gaussian integration are staples of numerical textbooks. And Gaussian integration is said to be better than Newton-Cotes…

The working of this quadrature method can be explained in part by the Euler-Maclaurin summation formula, which elegantly relates integral…