Tag Archives: calculus

(Source: http://pirsa.org/06050010/)

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Calculus is topology. The reason is that the matrix of the exterior derivative is equivalent to the transpose of the matrix of the boundary operator. That fact has been known for some time, but its practical consequences have only been … Continue reading

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What is calculus about?

W Gilbert Strang, a really excellent lecturer who sees teaching as central to his purpose in life, has made his complete calculus course available for free here. He has also summarised the basics of calculus, using simple words and examples, … Continue reading

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The Newtonian view of a smooth background space which acts as a container in which the events in the universe take place is giving way to the view of Leibnitz (sic) in which the contents of the universe themselves give … Continue reading

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(Thoroughly) Enmeshed Composition

Imagine you were a wealthy writer — so wealthy that you could pay servants to look stuff up for you. Instead of drudging through tomes (or internet searches) to fact-check yourself, find original references, and so on. You just do … Continue reading

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Newton came to be thought of as the first and greatest of the modern age of scientists, a rationalist, one who taught us to think on the lines of cold and untinctured reason. I do not see him in this … Continue reading

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A beautiful depiction of a 1-form by Robert Ghrist. You never thought understanding a 1→1-dimensional ODE (or a 1-D vector field) would be so easy! What his drawing makes obvious, is that images of Phase Space wear a totally different meaning … Continue reading

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