# School:Mathematics/Undergraduate/Pure Mathematics

Broadly speaking, **pure mathematics** is mathematics motivated entirely for reasons other than application. From the eighteenth century onwards, this was a recognised category of mathematical activity, sometimes characterised as *speculative mathematics*, and at variance with the trend towards meeting the needs of navigation, astronomy, physics, engineering and so on.

## Contents

## Courses[edit]

- Foundations of Pure Mathematics
- School of Mathematics:Introduction to Proofs
- School:Mathematics/Foundation of mathematical concepts
- School of Mathematics:Introductory Real Analysis
- School:Mathematics/Introduction to Abstract Algebra
- School of Mathematics:Introduction to Graph Theory
- School:Mathematics/Calculus
- Introduction to Set Theory

*more needs to be added here*

### Texts for reference[edit]

#### Algebra[edit]

- Proofs
- Complex numbers
- Vectors in two dimensions
- Matrices
- Vector spaces
- Linear transformations
- Eigenvalues and eigenvectors

##### Abstract algebra[edit]

#### Analysis[edit]

#### Calculus[edit]

- Functions
- Limits
- Differentiation
- Applications of Derivatives
- Higher Order derivatives
- More differentation rules
- Summation notation
- Integration
- Vectors
- Applications

#### Discrete mathematics[edit]

- Set theory
- Functions and relations
- Number theory
- Logic
- Enumeration
- Graph theory
- Recursion
- Number representations
- Modular arithmetic
- Polynomials and number theory
- Finite fields