## 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** - Wikipedia
**e (mathematical constant)** **Why**(Pradeep Mutalik, Quanta Magazine, November 24, 2021) https://www.quantamagazine.org/why-eulers-number-is-just-the-best-20211124/*e*, the Transcendental Math Constant, Is Just the Best

**√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