Math news and information
One of my favourite sources of mathematics news and information is Plus Magazine from the University of Cambridge. Their articles, including Maths in a Minute, are interesting, informative and well written. See also:
- Phys.org Mathematics News
- Wolfram.com Wolfram MathWorld
- University of Waterloo Mathematics News
Math concepts
I discuss a number of math concepts in Emily Jayne and the Kairos Codex. I provide more information on this concepts in the following sections.
Irrational numbers
- Math is Fun Irrational Numbers
- Wolfram MathWorld Irrational Number
pi (3.1415926535…)
- Math is Fun Pi
- Wikipedia Pi
- Perimeter Institute Pi smackdown at Perimeter Institute
- What Is Pi, and How Did It Originate? (Steven Bogart, Scientific American, May 17, 1999) https://www.scientificamerican.com/article/what-is-pi-and-how-did-it-originate/
- Why Pi Matters (Steven Strogatz, The New Yorker, March 13, 2015) https://www.newyorker.com/tech/annals-of-technology/pi-day-why-pi-matters
- Pi Day: How One Irrational Number Made Us Modern (Steven Strogatz, The New York Times, March 14, 2019) https://www.nytimes.com/2019/03/14/science/pi-math-geometry-infinity.html
e (2.7182818284…)
- Math is Fun e (Euler’s Number)
- Wikipedia e (mathematical constant)
- Why e, the Transcendental Math Constant, Is Just the Best (Pradeep Mutalik, Quanta Magazine, November 24, 2021) https://www.quantamagazine.org/why-eulers-number-is-just-the-best-20211124/
√2 (1.4142135623…)
- Math is Fun Why the square root of 2 is irrational
- Wikipedia Square root of 2
- Maths in a Minute Maths in a minute: The square root of 2 is irrational
- The square root of 2: The mathematical truth upset the ancient Pythagoreans (Paul Davies, Cosmos Magazine, June 7, 2016) https://cosmosmagazine.com/science/mathematics/working-with-numbers-the-square-root-of-2/
The Fibonacci sequence and the Golden Ratio
The Golden Ratio is an irrational number, but it is intrinsically tied to the Fibonacci numbers and sequence and so I’ve pulled it into this section.
- Math is Fun Fibonacci Sequence
- Wikipedia Fibonacci number
- Wikipedia Fibonacci prime
- 6 Fascinating Places to See the Fibonacci Sequence (Allison Futterman, Jun 17, 2022, Mental Floss) https://www.mentalfloss.com/posts/fibonacci-sequence-examples
- Wolfram MathWorld Golden Ratio Digits
- Wolfram MathWorld Golden Ratio Approximations
- The Most Irrational Number: The golden ratio is even more astonishing than Dan Brown and Pepsi thought (Jordan Ellenberg, Slate, June 8, 2021) https://slate.com/technology/2021/06/golden-ratio-phi-irrational-number-ellenberg-shape.html
- Myths of maths: The golden ratio (Chris Budd, March 2020, Plus on-line magazine) https://plus.maths.org/content/myths-maths-golden-ratio?nl=0
In the images below, I show the Matlab code I wrote to output Fibonacci numbers 0 to 25, and the results of running that code.
Infinity
- Math is Fun (2022). What is infinity? https://www.mathsisfun.com/numbers/infinity.html
- Wikipedia (2022). Infinity. https://en.wikipedia.org/wiki/Infinity
- Do infinities exist in nature? (Marianne Freiberger and Rachel Thomas, September 2013, Plus on-line magazine) https://plus.maths.org/content/do-infinities-exist-nature-0
- How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer https://www.quantamagazine.org/how-many-numbers-exist-infinity-proof-moves-math-closer-to-an-answer-20210715/
- University of Cambridge Maths in a minute: Counting numbers