# List by Author: Chris Sangwin

Intriguing integrals: Part IWhat's the integral of

*x*^{k}? If you're up to speed with your calculus, you can probably rattle the answer off by heart. But can you prove it?**Chris Sangwin**introduces an ingenious method for deriving the integral from first principles.
Intriguing integrals: Part IIComing to think of it, is the standard formula for the integral of

*x*^{k}really the best one?**Chris Sangwin**makes an interesting case that it is not.
A tale of two curricula: Euler's algebra text bookIn the fourth and final part of our series celebrating 300 years since Leonhard Euler's birth, we let Euler speak for himself.

**Chris Sangwin**takes us through excerpts of Euler's algebra text book and finds that modern teaching could have something to learn from Euler's methods.
Arithmetic, bones and countingJohn Napier was a clever man indeed. Besides inventing the logarithm, he developed ingenious calculating devices that fully exploit the power of the positional system. In this article

**Chris Sangwin**tells you how to make your own set of*Napier's bones*and perform mathemagic with an interactive checker board.
Making the grade: Part II

**Calculus**is a collection of tools, such as differentiation and integration, for solving problems in mathematics which involve "rates of change" and "areas". In the second of two articles aimed specially at students meeting calculus for the first time, Chris Sangwin tells us how to move on from first principles to differentiation as we know and love it!
Making the grade

**Calculus**is a collection of tools, such as differentiation and integration, for solving problems in mathematics which involve "rates of change" and "areas". In the first of two articles aimed specially at students meeting calculus for the first time, Chris Sangwin tells us about these tools - without doubt, the some of the most important in all of mathematics.As COP28, the 2023 United Nations Climate Change Conference, kicks off we look at how maths can help understand the climate crisis.

How do you create dramatic film out of mathematics? We find out with writer and director Timothy Lanzone.

Mathematics plays a central role in understanding how infectious diseases spread. This collection of articles looks at some basic concepts in epidemiology to help you understand this fascinating and important field, and set you up for further study.

Find out why the formula we use to work out conditional probabilities is true!

- We talk about a play that explores the fascinating mathematical collaboration between the mathematicians GH Hardy and Srinivasa Ramanujan.