I’d like to say I’m ready to start this year’s Mathematics A-to-Z. I’m not sure I am. But if I wait until I’m sure, I’ve learned, I wait too long. As mentioned, this year I’m doing an abbreviated version of my glossary project. Rather than every letter in the alphabet, I intend to write one essay each for the letters in “Mathematics A-to-Z”. The dashes won’t be included.
While I have some thoughts in minds for topics, I’d love to know what my kind readers would like to see me discuss. I’m hoping to write about one essay, of around a thousand words, per week. One for each letter. The topic should be anything mathematics-related, although I tend to take a broad view of mathematics-related. (I’m also open to biographical sketches.) To suggest something, please, say so in a comment. If you do, please also let me know about any projects you have — blogs, YouTube channels, real-world projects — that I should mention at the top of that essay.
To keep things manageable, I’m looking for the first couple letters — MATH — first. But if you have thoughts for later in the alphabet please share them. I can keep track of that. I am happy to revisit a subject I think I have more to write about, too. Past essays for these letters that I’ve written include:
M.
- Measure (2015)
- Matrix (Leap Day 2016)
- Monster Group (End 2016)
- Morse Theory (2017)
- Manifold (2018)
- Martingales (2019)
- Möbius Strip (2020)
A.
- Ansatz (2015)
- Axiom (Leap Day 2016)
- Algebra (End 2016)
- Arithmetic (2017)
- Asymptote (2018)
- Abacus (2019)
- Michael Atiyah (2020)
T.
- Tensor (2015)
- Transcendental Number (Leap Day 2016)
- Tree (End 2016)
- Topology (2017)
- Tiling (2018)
- Taylor Series (2019)
- Tiling (2020)
H.
- Hypersphere (2015)
- Homomorphism (Leap Day 2016)
- Hat (End 2016)
- Height Function (elliptic curves) (2017)
- Hyperbolic Half-Plane (2018)
- Hamiltonian (2019)
- Hilbert’s Problems (2020)
The reason I wrote a second Tiling essay is because I forgot I’d already written one in 2018. I hope not to make that same mistake again. But I am open to repeating a topic, or a variation of a topic, on purpose..
nebusresearch 
My suggestion for A: Atlas.
Thanks again for writing these wonderful, insightful essays!
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Ooh, thank you! Atlas is a particularly nice idea as I wouldn’t have thought of it on my own.
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M: Multiplication, if that’s too broad, multiplication algorithms
H: Hyperbolic geometry
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Thank you! I like these ideas.
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M: Monte Carlo or Markov Chain
A: Analysis (the branch of mathematics)
T: Torus
H: Holomorphic
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Great set of topics, yeah, and Markov Chains are very dear to my own heart.
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Good suggestions above.
M: multiple, Mersenne, modulus
A: addition (maybe a group perspective?), amicable, affine
T: triangle, transfinite, three
H: hyperbola, Hamilton or Hamiltonian, histogram
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Great set and I really like the thought of having multiplication and addition together. I need to think about how I organize this.
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Shouldn’t the Little 2021 Mathematics A-Z be a-z? or am I the only one who grew up calling lower case letters little letters?
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You’re not the only one! I suppose it’s going to depend on how the banner art comes out.
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