https://github.com/jacoblee23/riemann

A pure-Python package for computing Riemann sums of functions of several real variables.
https://github.com/jacoblee23/riemann

calculus mathematics python python-3 riemann-sum

Last synced: about 1 month ago
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A pure-Python package for computing Riemann sums of functions of several real variables.

• Host: GitHub
• URL: https://github.com/jacoblee23/riemann
• Owner: JacobLee23
• License: mit
• Archived: true
• Created: 2022-11-20T02:40:16.000Z (almost 2 years ago)
• Default Branch: master
• Last Pushed: 2023-04-13T15:17:22.000Z (over 1 year ago)
• Last Synced: 2024-09-30T19:17:41.919Z (about 1 month ago)
• Topics: calculus, mathematics, python, python-3, riemann-sum
• Language: Python
• Homepage: https://pypi.org/project/riemann
• Size: 287 KB
• Stars: 5
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# riemann

![Repository Logo](docs/_static/riemann-logo.png)

**Riemann**, a pure-Python package for computing Riemann sums of functions of several real variables.

[![GitHub](https://img.shields.io/github/license/JacobLee23/riemann)](https://github.com/JacobLee23/riemann/blob/master/LICENSE)

![GitHub Pipenv locked Python version](https://img.shields.io/github/pipenv/locked/python-version/JacobLee23/riemann)

[![PyPI - Python Version](https://img.shields.io/pypi/pyversions/riemann)](https://pypi.org/project/riemann)

[![GitHub tag (latest SemVer)](https://img.shields.io/github/v/tag/Jacoblee23/riemann)](https://github.com/JacobLee23/riemann/tags)

***

## Basic Usage

**Riemann** provides an intuitive syntax for calculating the Riemann sum of a function of several real variables over a closed multi-dimensional interval.

The below code snippet computes the Riemann sum of $f(x) = x^{2} + x$ over the interal $[0, 2]$ using 10 partitions using the left rule along the $x$-axis.

```python

>>> import riemann

>>> from riemann import Interval

>>> f = lambda x: x ** 2 + x

>>> intervals = [Interval(0, 2, 10)]

>>> rules = [riemann.Left]

>>> riemann.riemann_sum(f, intervals, rules)

Decimal('2.28')

```

However, **riemann** is not restricted to computing Riemann sums only over one dimension.

A similar syntax can be used to calculate the Riemann sum of a function of several real variables over a closed multi-dimensionl interval.

Additionally, different combinations of rules can be used to compute the Riemann sum.

See [Quickstart](https://riemann-py.readthedocs.io/en/latest/user/quickstart.html) for additional example usage of the **riemann** module.

## Features

- Fast computation of Riemann sums.

- Supports the computation of multi-dimensional Riemann sums.

- Supports the computation of the left, middle, and right Riemann sums.

- Supports the computation of the trapezoidal Riemann sum.

- Supports the computation of the upper and lower Darboux sums. (Under Development)

## Requirements

**Riemann** requires **Python 3.8+**. This project does not require any additional dependencies.

## Installation

```console

$ pip install riemann

```

## Documentation

[![Documentation Status](https://readthedocs.org/projects/riemann-py/badge/?version=latest)](https://riemann-py.readthedocs.io/en/latest/?badge=latest)

The documentation for this project is available on [Read the Docs](https://riemann-py.readthedocs.io/en/latest).