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Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
Generating electricity without the use of fossil fuels is not just an engineering and industrial challenge, it is also a huge mathematical challenge.
In this podcast author Coralie Colmez shares insights into her novel The irrational diary of Clara Valentine.
We talk to early career mathematicians who spent some of their summer holiday solving problems posed by industry — such as how to blend a perfect smoothie!
Don't like plant-based meat alternatives, but want to spare animals and the environment? There's hope on the horizon, aided by a good helping of maths.
Inverse problems are mathematical detective problems. They can help solve crimes, are used in medical imaging, and much more.
Proofs in mathematics never claim to be absolutely correct. In fact many mathematical theories contain seemingly contradicting axioms, example:
Euclidean geometry, parralel postulate: Given Line L, Point P, there exists exactly 1 line that passes through P parralel to L
Hyperbolic geometry, parralel postulate: Given Line L, Point P, there exists infinitely many lines that pass through P parralel to L
Those statements do not contradict each other because they are never true at the same time. You are either working in the framework of the euclidean geometry or hyperbolic, or some other geometry. There is no absolute truth in mathematics. (rather, any theorem should be read as "if axioms: ... are true, then theorem: ... is true")
Mathematics does not shows truths, it shows consequences.