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Incredibly Serious, Inductive Sequences
In my last blog, we discussed how to use the awesome tool of induction to prove a countably infinite number of statements P(n). So, if you are unfamiliar with induction, I recommend you check it out (or another resource)! This blog post is…
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Incredible Induction
Aggravating Addition Let’s get straight into it and try to add every counting number from 1 to 100. Basically, what is 1+2+3+…+99+100 = ??? There’s a long way and a short way to do this. Let’s be lazy and do it the short…
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Funky Functions and Cool Continuity!
Thomae’s Function aka The Stars over Babylon aka The Popcorn Function * Note it’s assumed the reader has heard of limits for both sequences and functions, the connection between limits for sequences and functions (Called Heine’s Continuity Criterion), and continuity for functions. I…
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Math That Counts
Have you ever found it interesting that one of the first things we learn in school (and sometimes even before we start school) is how to count, and yet there are many interesting and challenging problems/concepts that can come from simply counting?1 For…
What Comes Next: 1, 2, 4, 8, 16, … hint it’s not 32
Hello,
Welcome to A Kick in the Discovery! If you’re curious where this phrase came from, that’s good! It came from the great physicist Richard Feynman. He was curious about anything and everything and he loved to explain science to others. I want to communicate the same enthusiasm about things that I find amazing! More than that, I want to practice teaching and explaining more and more complex ideas. Communication is very important and very challenging, and I hope this blog helps me learn this skill. With all this said, please bear with me while I practice my writing skills! It will be a process.
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