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Main-Mathematics

A so-called "main" repo for my math notes.

  • ⚠️ Not done yet

Dropdown lists

overview

to share:

  • Mostly (at the time being) multivariable calculus: (to name a few: differential equations,partial differential equations, orders of them, ... )
  • By using a tool like SageMath(trough Jupyter-notebook) or Xcas

Test Runs

1

Equation(LaTex):

$f(x,y)=x^{2}y$

$\dfrac{∂f}{∂x} = 2xy$

$\dfrac{∂f}{∂y} = x^{2}$

Screenshots

image

figure 1 - Xcas

image

figure 2 - SageMath(Jupyter Notebook)


Topics and Applications

Topics

Calculus

  • Derivatives & Integrals
  • Single-Variable
  • Multi-Variable

Physics


Cryptography


Applications

  • Xcas

  • Jupyter-Notebook

    • SageMath
    • EinsteinPy
    • SciPy
    • SymPy
    • NumPy
    • MatPlotlib

Lists
  • Appendices, Indexes, tables, (..) to make easy-to-navigate-lists
  • Will add more here later.


Todo

Todo

As I am slow (no not your usual sense of "being slow" but really slow.) this will likely take some time to complete(even if the goal isn't to complete this repo)

  • provide more into this repo (mainly Calculus, like Limits, Dif.Eqs, ...) Will add more here later.

sources

References

Courses

Books

  • George Simmons - Calculus With Analytic Geometry, 1996, 2nd Edition
  • George Simmons - Pre-calculus mathematics in a nutshell: geometry,algebra,trigonometry
  • General Relativity, Black Holes, and Cosmology Andrew J. S. Hamilton 4 December 2021

Links