One of the beautiful things about maths is that every concept is part of a bigger picture — a picture that grows over time, transcends traditional boundaries, and often informs a range of real-world applications. The collections below aim to present some of these mathematical jigsaws by bringing together content exploring specific topics from different perspectives and at varying levels of depth.
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The calculus of the complex

Calculus has long been key to describing the world. Now fractional calculus is providing new ways of describing complex systems.
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Explore: Differential equations

One thing that will never change is the fact that the world is constantly changing, and differential equations are the way we mathematically describe the changing world around us.
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Logically speaking...

In some sense, all of maths should come under the label "logic", and in this collection of articles we try to explain why.
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Proof by picture!

When it comes to doing maths, a picture can be worth a thousand equations.
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All about proofs

Why do mathematicians always want proof and what do they mean by it?
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The Plus advent calendar 2021

In this year's advent calendar we celebrate our collaboration with the Isaac Newton Institute for Mathematical Sciences.
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Behind the scenes at the HLF 2021

We love talking to young researchers and laureates at the Heidelberg Laureate Forum, and this year we produced a daily video diary to take everyone behind the scenes of this special digital HLF.