Hardy's Math Tips

1/10/2019  Wonderful Connections!!!  He this  episode Hardy Connects the Golden Ratio to two very different situations one involving the Fibonacci Numbers. https://www.youtube.com/watch?v=hYZv65r9Y1I

1/06/2019 Newton connects area to the anti-derivative.  In this segment Hardy shows how Newton developed the connection between area and the anti-derivative. https://www.youtube.com/watch?v=hYZv65r9Y1I

1/06/2018 Euler's Formula.  In this segment hardy shows how you can use the different Newton Series to prove this very famous result. https://youtu.be/AUfuxKyk-io

+Newton Series.  In this segment Hardy shows how you can use the series for different functions to prove well know facts about sine, cosine, and the exponential functions.  Newton never used the various rules like Product Rule.  He only used the Power Rule. https://www.youtube.com/watch?v=BxRy1xmhksk

12/26/2018 Newton creates a series for both the natural logarithm and exponential functions.  The method for Inverse Sine and Sine functions in the previous lesson  is repeated. https://www.youtube.com/watch?v=r4Q1Dep0uZ0

12/26/2018 Newton develops the series for Inverse Sine and for Sine.  He uses an inverse method that is very interesting. https://www.youtube.com/watch?v=VqehfKVwaDM