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Kyle Ferguson
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Skimpression of Book 2
     The first book I reviewed was Euler: The Master of Us All William Dunham. I liked how the author presented the book so I decided to read (skim) another one of his books, Journey Through genius. The book is a nice read, it gives a broad view of the some...
Skimpression of Book 2
Skimpression of Book 2
kylemath495.blogspot.com
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Weekly 7: David Hilbert's 9th Problem
For my final weekly post, we are going to have some fun. I will be trying to interpret the meaning of David Hilbert's 9th problem the best I can. But, before I state the actual problem, I would like to build up the terminology and appropriate knowledge requ...
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Daily 13: A little bit of Quadratic Reciprocity
This daily assignment will serve as a reference to my weekly 7 assignment. The problem is essentially this: For some integer q,n, if q =  n^2 (mod 5) then either q  =  0 (mod 5), q  =  1 (mod 5), or  q  =  4 (mod 5). Proof: Let q and n be some integers and ...
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Weekly 6: Marie-Sophie Germain
     For my weekly 6 assignment, I will give a biography on Marie-Sophie Germain, along with some of my thoughts. Sophie was born on April 1, 1776 in Paris, France. Sophie's parent's house was actually a meeting place for those interested in liberal reforms...
Weekly 6: Marie-Sophie Germain
Weekly 6: Marie-Sophie Germain
kylemath495.blogspot.com
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Weekly 5: Book Review
     The book I am reviewing is Euler: Master of us All , by William Dunham, published in 1999 by the Mathematical Association of America (incorporated).  I've read several math books in the past but this book is by far my favorite. Probably because it's ab...
Weekly 5: Book Review
Weekly 5: Book Review
kylemath495.blogspot.com
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Weekly 4: History of Fibonacci
For this post, let's explore the history of Fibonacci. Leonardo Pisano (Fibonacci) was born on 1170 to Guglielmo Bonacci, a merchant of some kind. Fibonacci was educated in Bejaia, Algeria in North Africa (where his father worked). Fibonacci actually was e...
Weekly 4: History of Fibonacci
Weekly 4: History of Fibonacci
kylemath495.blogspot.com
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Weekly 3: Al Kharaji's formulas
One of my favorite things about mathematics are series. That's why when we started talking about Al Kharaji and his series formulas I couldn't help but explore and prove them. The first one we talked about was an interesting closed form for the sum of squar...
Weekly 3: Al Kharaji's formulas
Weekly 3: Al Kharaji's formulas
kylemath495.blogspot.com
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Weekly 2: Wallpaper groups
One interesting connection between geometry and algebra is the idea of wallpaper groups. To explain what it is, let's first discuss symmetry groups. Remember in MTH 410 (Modern Algebra II) where we first started discussing groups. A group is a set combined ...
Weekly 2: Wallpaper groups
Weekly 2: Wallpaper groups
kylemath495.blogspot.com
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Weekly 2: Wallpaper groups
One interesting connection between geometry and algebra is the idea of wallpaper groups. To explain what it is, let's first discuss symmetry groups. Remember in MTH 410 (Modern Algebra II) where we first started discussing groups. A group is a set combined ...
Weekly 2: Wallpaper groups
Weekly 2: Wallpaper groups
kylemath495.blogspot.com
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Daily 2: Propositions 5-11
The wording on Euclid's book VII, propoitions 5 through 11 seemed very murky. There were no translations for those propositions on our class google.doc. So for my post, I wanted to "decode" propositions 5 through 11, without looking it up on google or somet...
Daily 2: Propositions 5-11
Daily 2: Propositions 5-11
kylemath495.blogspot.com
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