Difference between revisions of "The Road to Reality Study Notes"

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* $$e^{i\theta} = cos \theta + i sin \theta$$
* $$e^{i\theta} = cos \theta + i sin \theta$$
* (Worth looking into [https://en.wikipedia.org/wiki/Taylor_series Taylor Series], which is related.)
* (Worth looking into [https://en.wikipedia.org/wiki/Taylor_series Taylor Series], which is related.)
== Chapter 6 Real-number calculus ==
=== 6.1 What makes an honest function? ===
* Differentiable, Analytic
=== 6.2 Slopes of functions ===
* Derivative is the slope of the tangent line
* Finding the slope of the tangent line for every point
=== 6.3 Higher derivatives; $$C^\infty$$-smooth functions ===
* Second derivatives
* Euler would require you to have functions that are $$C^\infty$$-smooth
* Not everything that is $$C^\infty$$-smooth is ok for Euler


== Other Resources ==
== Other Resources ==