The remarkable identities
What makes these famous "identities" so remarkable? Why do some of them inherit this qualifier? Yet elegant and concise formulas are not in short supply in mathematics... But let us not begrudge our pleasure, and let us return to these relations.
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What is an algebraic identity? | Tangente
Algebraic identities are a great classic of the high-school curriculum. Here's a quick refresher, in pictures…
Algebraic identities in series
What happens if we try to calculate sums containing an ever-increasing number of terms? That is the challenge tackled by the study of sequences and series.
Newton's formula
What a legacy! Newton's binomial formula finds applications in both trigonometry and probability…
From algebraic identities to useful applications
The standard identities studied in middle school (and now at the start of high school…) can prove very useful in finding the solutions to certain equations, including quadratics. The trick is knowing where these mysterious identities are hiding!
Algebraic identities in the classroom
"Find two numbers given their sum and product." This problem, already posed by the Babylonians four thousand years ago, marked a milestone in the history of mathematics and paved the way for an entire teaching tradition: that of algebraic identities.