https://github.com/davidohnee/anlis

Analysis for Python
https://github.com/davidohnee/anlis

analysis library mathematics maths numpy python python-library python3 sympy university

Last synced: 3 months ago
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Analysis for Python

• Host: GitHub
• URL: https://github.com/davidohnee/anlis
• Owner: davidohnee
• License: mpl-2.0
• Created: 2022-12-31T19:05:23.000Z (about 3 years ago)
• Default Branch: main
• Last Pushed: 2023-01-17T14:56:07.000Z (about 3 years ago)
• Last Synced: 2025-11-06T10:02:48.711Z (3 months ago)
• Topics: analysis, library, mathematics, maths, numpy, python, python-library, python3, sympy, university
• Language: Python
• Homepage: https://pypi.org/project/anlis/
• Size: 2.03 MB
• Stars: 2
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# ANLIS - Analysis for Python

ANLIS is a Python package for [analysis](https://en.wikipedia.org/wiki/Mathematical_analysis) built on top of [numpy]( https://www.numpy.org/ ) and [sympy]( https://www.sympy.org/en/index.html ). ANLIS provides a set of functions to perform analysis tasks. ANLIS is a work in progress and currently supports the following tasks (and some more):

- Series

    - Plotting any series

    - Arithmetic Series

        - Finding $a_n$ from two elements

    - Geometric Series

        - Finding $a_n$ from two elements

        - Finding the sum of an infinite series (based on ratio and first element *or* two elements)

- Convergence

    - Determining if a sequence is convergent (or divergent)

    - Convergence Tests

- Derivatives

    - Finding the critical points of a function

    - Finding the extrema of a function

- Vectors

    - Finding the magnitude of a vector

    - Finding the unit vector of a vector

    - Finding the dot product of two vectors

- Taylor Series

    - Finding the Taylor Series of a function

    - Finding the Taylor Polynomial of a function

    - Finding the Lagrange Remainder of a function

- Integrals

    - Left/Right Riemann Sums

    - Trapezoidal Rule

    - Simpson's Rule

- Differentials (e.g. for error analysis)

    - Absolute differential

    - Relative differential

- Multidimensional Calculus

    - Critical points

        - Finding critical points

        - Finding extrema

    - Derivatives

        - Finding the (or all) partial derivatives of a function

        - Finding partial derivatives of composite functions

        - Finding the gradient of a function

        - Finding the Jacobian of a function

        - Finding the determinant of a function

        - Finding the linearisation of a function

        - Solving with Newton-Raphson

        - Finding the directional derivative of a function

    - Contour Lines

        - Finding the contour lines of a function

        - Finding the tangent lines of contour lines

        - Plotting the contour lines of a function (2D or 3D)

    - Differentials (e.g. for error analysis)

        - Absolute differential

        - Relative differential

        - Total differential

The [wiki](https://github.com/dxstiny/anlis/wiki) contains more information on the functions along with examples and when to use them.