-
Newbie at Number Theory (Part 6): Fermat’s Fantastic Little Theorem
Today’s our sixth article in the series Newbie at Number Theory. Today, Fermat’s little theorem. If you’ve read all my articles, then you would have seen a proof using Lagrange’s theorem in the setting of group theory. This time however, we show a…
-
Newbie at Number Theory (Part 5): Modular Arithmetic
As the title suggest, this is the fifth in a series of articles on introductory Number Theory. Today’s the day that we learn about fancy arithmetic called modular arithmetic or clock algebra. A Motivating Mystery Can you see why you will never find…
-
Newbie at Number Theory (Part Four): Prime Numbers
Wow, we are already four articles in and haven’t mentioned prime numbers yet! Blasphemy! We have to fix this! I’m sure you’ve heard about prime numbers before, but to make sure we are on the same page here’s what it means for a…
-
Newbie at Number Theory: (Part 3) ax+by=1
Last time we left off with a mystery… But before we get to that, a little introduction. In your high school algebra class, you were probably given some equation like and asked to find some points that are on the line. Sometimes you…
-
Newbie at Number Theory (Part Two): The Euclidean Algorithm
Today’s part two of our dive into number theory. For those who haven’t read part one about the division algorithm click here, because we plan to use it! We talk everything Euclidiean, except for Euclidean geometry! We will learn about another algorithm which…
-
Newbie at Number Theory (Part 1): The Division Algorithm
Today’s a very special day! We’re about to discuss some number theory! It’s important for anyone interested in mathematics to know the basics of number theory. Maybe not to the level of Fermat’s Last Theorem, but definitely enough to know Fermat’s Little Theorem…
-
Cosets are Cool Sets (Even I Know This is a Lame Title!)
*Note that it’s assumed the reader is familiar with groups and subgroups. And note to subscribers, the way that the math (or maths for my British friends) is formatted on phones in emails is downright awful! I recommend you read this online. *…
-
Normal Subgroups
*It is assumed that the reader is familiar with mathematical Groups.* Imagine this: You’re in the middle of a lecture in your abstract algebra course discussing group theory and all of a sudden you hear that a subgroup is normal. What’s so normal…
-
Induction and Well-Ordering
Ok, forewarning this will be covering deeeeeep mathematics. For those who already know of induction and/or well-ordering this’ll be a treat! We are going to describe the connections between these two concepts. For those who have not heard of either induction and/or well-ordering…
-
A Strenuous Sequence
Thank you for coming to see a more challenging example! I commend your enthusiasm! For those not sure what I mean by this, check out this post before you read this one! One last thing, remember that: Let’s get into it! Practice makes…
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.
Join the fun!
Stay updated if you want…
A Kick in the Discovery 