From 8ff18384fea7e1e31453f1c8cc70c7f307057f49 Mon Sep 17 00:00:00 2001
From: David Rotermund <54365609+davrot@users.noreply.github.com>
Date: Wed, 3 Jan 2024 19:11:53 +0100
Subject: [PATCH] Create README.md

Signed-off-by: David Rotermund <54365609+davrot@users.noreply.github.com>
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+# Symbolic Computation
+{:.no_toc}
+
+<nav markdown="1" class="toc-class">
+* TOC
+{:toc}
+</nav>
+
+## Top
+
+Questions to [David Rotermund](mailto:davrot@uni-bremen.de)
+
+```shell
+pip install sympy
+```
+
+||
+|---|
+|[Simplification](https://docs.sympy.org/latest/tutorials/intro-tutorial/simplification.html)|
+|[Calculus](https://docs.sympy.org/latest/tutorials/intro-tutorial/calculus.html) |
+|[Solvers](https://docs.sympy.org/latest/tutorials/intro-tutorial/solvers.html)|
+
+
+
+
+## [Some examples](https://docs.sympy.org/latest/tutorials/intro-tutorial/intro.html#a-more-interesting-example)
+
+
+### [Derivatives](https://docs.sympy.org/latest/tutorials/intro-tutorial/calculus.html#derivatives)
+
+```python
+import sympy
+
+x, y = sympy.symbols("x y")
+
+y = sympy.diff(sympy.sin(x) * sympy.exp(x), x)
+print(y) # -> exp(x)*sin(x) + exp(x)*cos(x)
+```
+
+### [Integrals](https://docs.sympy.org/latest/tutorials/intro-tutorial/calculus.html#integrals)
+
+```python
+import sympy
+
+x, y = sympy.symbols("x y")
+
+y = sympy.integrate(sympy.cos(x), x)
+print(y)  # -> sin(x)
+```
+
+
+### [(Taylor) Series Expansion](https://docs.sympy.org/latest/tutorials/intro-tutorial/calculus.html#series-expansion)
+
+```python
+import sympy
+
+x, y, z = sympy.symbols("x y z")
+y = sympy.cos(x)
+z = y.series(x, 0, 8) # around x = 0 , up order 7
+
+print(z)  # -> 1 - x**2/2 + x**4/24 - x**6/720 + O(x**8)
+```
+
+## [simplify](https://docs.sympy.org/latest/tutorials/intro-tutorial/simplification.html#simplify)
+
+```python
+import sympy
+
+x, y, z = sympy.symbols("x y z")
+y = sympy.simplify(sympy.sin(x) ** 2 + sympy.cos(x) ** 2)
+
+print(y)  # -> 1
+```
+
+## [Solving Equations Algebraically](https://docs.sympy.org/latest/tutorials/intro-tutorial/solvers.html)
+
+> Recall from the [gotchas section](https://docs.sympy.org/latest/tutorials/intro-tutorial/gotchas.html#tutorial-gotchas-equals) of this tutorial that symbolic equations in SymPy are not represented by = or ==, but by Eq.
+
+```python
+import sympy
+
+x, y, z = sympy.symbols("x y z")
+
+z = sympy.Eq(x, y)
+```
+
+Output:
+
+$$x=y$$
+
+