# Mathematics : Real Numbers

From bitrary

Due to historical reasons and lazy-ness of mathematicians the classification of those topics is a big mess, but the general idea is that someone invented fractions and may be also real numbers and then Newton and someone else, may be Leibniz, may be Lebesgue, may be even in parallel, came out with the various lines of thoughts that are related to limits, integrals and alike. This chapter here is not about the precise history of Mathematics, but the theory itself. Precise historical solutions are replaced with something simpler without loosing precision, without oversimplification.

## Contents

# Limits and Derivatives

# Interval Arithmetic

# The rest

# References

## Freely Downloadable Books

- Mathematics for the Physical Sciences
- Riemann-Roch Spaces and Computation
- Random Differential Equations in Scientific Computing

## Free Journals

## Tutorials

### Interval Computations

### Transforms

## Software

### Symbolic Calculation

- CasADi library and the home page of its academic project
- REDUCE Computer Algebra System