adding file for Taylor Series Expansions.

leios · leios · commit 04d92054a473 · 2017-02-28T09:08:50.000+09:00
diff --git a/SUMMARY.md b/SUMMARY.md
@@ -9,7 +9,8 @@
         * [FORTRAN](chapters/principles_of_code/choosing_a_language/FORTRAN.md)
     * [Building Blocks](chapters/principles_of_code/building_blocks.md)
     * [Code Quality](chapters/principles_of_code/code_quality.md)
-* [Mathematical Background](chapters/mathematical_background.md)
+* [Mathematical Background](chapters/mathematical_background/mathematical_background.md)
+    * [Taylor Series](chapters/mathematical_background/taylor_series.md)
 * [Computational Mathematics](chapters/computational_mathematics/computational_mathematics.md)
     * [Matrix Methods](chapters/computational_mathematics/matrix_methods/matrix_methods.md)
         * [Gaussian Elimination](chapters/computational_mathematics/matrix_methods/gaussian_elimination.md)
diff --git a/chapters/mathematical_background/mathematical_background.md b/chapters/mathematical_background/mathematical_background.md
diff --git a/chapters/mathematical_background/taylor_series.md b/chapters/mathematical_background/taylor_series.md
@@ -0,0 +1,10 @@
+# Taylor Series Expansion
+
+I have been formally trained as a physicist. In my mind, there are several mathematical topics that blur the boundary between mathematics and physics. Taylor Series Expansions are one of those topics.
+
+On the one hand, I can see how the expansion could be considered purely mathematical. I mean, here is the definition:
+$$
+T = \sum_{n=0}^{\infty} \frac{f^{(n)}(a)}{n!}(x-a)^n
+$$
+
+It looks like it is just a bunch of derivatives strung together! Where's the physics? 
