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### Number and algebra

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### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Mathematical Introductions

### An Introduction to Magic Squares

### An Introduction to Tree Diagrams

### An Introduction to Differentiation

### An Introduction to Modular Arithmetic

### An Introduction to Polar Coordinates

### An Introduction to Proof by Contradiction

### An Introduction to Vectors

### An Introduction to Complex Numbers

### An Introduction to Galois Theory

### An Introduction to Mathematical Induction

### An Introduction to Mathematical Structure

### An Introduction to Number Theory

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Age 7 to 16

Find out about Magic Squares in this article written for students. Why are they magic?!

Age 11 to 16

This article explains how tree diagrams are constructed and helps you to understand how they can be used to calculate probabilities.

Age 14 to 18

An article introducing the ideas of differentiation.

Age 14 to 18

An introduction to the notation and uses of modular arithmetic

Age 14 to 18

This introduction to polar coordinates describes what is an effective way to specify position. This article explains how to convert between polar and cartesian coordinates and also encourages the creation of some attractive curves from some relatively easy equations.

Age 14 to 18

An introduction to proof by contradiction, a powerful method of mathematical proof.

Age 14 to 18

The article provides a summary of the elementary ideas about vectors usually met in school mathematics, describes what vectors are and how to add, subtract and multiply them by scalars and indicates why they are useful.

Age 16 to 18

A short introduction to complex numbers written primarily for students aged 14 to 19.

Age 16 to 18

This article only skims the surface of Galois theory and should probably be accessible to a 17 or 18 year old school student with a strong interest in mathematics.

Age 16 to 18

This article gives an introduction to mathematical induction, a powerful method of mathematical proof.

Age 16 to 18

An introduction to the sort of algebra studied at university, focussing on groups.

Age 16 to 18

An introduction to some beautiful results in Number Theory.