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https://github.com/loneicewolf/main-mathematics

a "Main" repo for my math notes.
https://github.com/loneicewolf/main-mathematics

calculus einstein-field-equation einstein-field-equations integral math mathematics metric multivariate-calculus partial-derivatives partial-differential-equations spacetime xcas

Last synced: 5 months ago
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a "Main" repo for my math notes.

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README

          

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

- :warning: `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](https://user-images.githubusercontent.com/68499986/205939555-4e734b29-e324-4fc7-9909-e8078c70328e.png)

*figure 1 - Xcas*

![image](https://user-images.githubusercontent.com/68499986/205938926-726fb2c0-8db2-444b-8deb-7f7fd154b21e.png)

*figure 2 - SageMath(Jupyter Notebook)*

---

Topics and Applications

# Topics

## Calculus

- [ ] Derivatives & Integrals
- [ ] Single-Variable
- [ ] Multi-Variable

---

## Physics

---

## Cryptography

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## 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
- [18.02SC MIT - Multivariable Calculus](https://ocw.mit.edu/courses/18-02sc-multivariable-calculus-fall-2010/)
-
### 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
- [dbetebenner's SimpleDropdown.md - on gist.github.com](https://gist.github.com/dbetebenner/bb5ea870b2ebd27f5bfb63d5c29a9302)
- [A Link on Calculus - SageMath](https://doc.sagemath.org/html/en/reference/calculus/index.html)
- [Another link on Calculus (Differential-Equations) - SageMath](https://doc.sagemath.org/html/en/prep/Quickstarts/Differential-Equations.html)