And a good late August to all my readers. I’m as ready as can be for my Fall 2019 Mathematics A-To-Z. For this I hope to explore one word or concept for each letter in the alphabet, one essay for each. I’m trying, as I did last year, to publish just two essays per week. I like to think this will keep my writing load from being too much. I’m fooling only myself.
For topics, though, I like to ask readers for suggestions. And I’ll be asking just for parts of the alphabet at a time. I’ve found this makes it easier for me to track suggestions. It also makes it easier for me to think about which subjects I feel I can write the most interesting essay about. This is in case I get more than one nomination for a particular letter. That’s hardly guaranteed, but I do like thinking this might happen.
If you do leave a suggestion, please also mention whether you host your own blog or YouTube channel or Twitter or Mathstodon account. Anything that you’d like people to know about.
I’ve done five of these A To Z sequences before, from 2015 through to last year. I won’t necessarily refuse to re-explore something I’ve already written up. There are certainly ones I could improve, given another chance. But I’d probably look to write about a fresh topic.
I hope to start the first week of September, mostly so that I end by (United States) Thanksgiving. The letters that I would like to finish by September are the first eight, A through H. Covered in past years from this have been:
- Ansatz (Summer 2015)
- Axiom (Leap Day 2016)
- Algebra (End 2016)
- Arithmetic (Summer 2017)
- Asymptote (Fall 2018)
- Bijection (Summer 2015)
- Basis (Leap Day 2016)
- Boundary Value Problems (End 2016)
- Benford’s Law (Summer 2017)
- Box-And-Whisker Plot (Fall 2018)
- Characteristic (Summer 2015)
- Conjecture (Leap Day 2016)
- Cantor’s Middle Third (End 2016)
- Cohomology (Summer 2017)
- Commutative (Fall 2018)
- Dual (Summer 2015)
- Dedekind Domain (Leap Day 2016)
- Distribution (statistics) (End 2016)
- Diophantine Equations (Summer 2017)
- Distribution (probability) (Fall 2018)
- Error (Summer 2015)
- Energy (Leap Day 2016)
- Ergodic (End 2016)
- Elliptic Curves (Summer 2017)
- e (Fall 2018)
- Fallacy (Summer 2015)
- Fractions (continued) (Leap Day 2016)
- Fredholm Alternative (End 2016)
- Functor (Summer 2017)
- Fermat’s Last Theorem (Fall 2018)
- Graph (Summer 2015)
- Grammar (Leap Day 2016)
- General Covariance (End 2016)
- Gaussian Primes (Summer 2017)
- Group Action (Fall 2018)
- Hypersphere (Summer 2015)
- Homomorphism (Leap Day 2016)
- Hat (End 2016)
- Height Function (elliptic curves) (Summer 2017)
- Hyperbolic Half-Plane (Fall 2018)
Thank you for any thoughts you have. Please ask if there are any questions. And I intend for this to be open to topics in any field of mathematics, including the ones I don’t really know. Writing about something I’m just learning about is terrifying and fun. It’s a large part of why I do these things every year, and also why I don’t do them more than once a year.
19 thoughts on “I Ask For The First Topics For My Fall 2019 Mathematics A-To-Z”
A- abacus (mainly how they actually work)
B- Borel-Cantelli lemmas
B- Boolean satisfiability
C- category theory
D- differential equations
D- discrete logarithms
E- encryption schemes
F- Fourier series
My blog is inactive, but I tweet under the name @aajohannas
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Thanks kindly! These are some fun and interesting ideas to play with.
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Firstly I would like to express my appreciation for your annual A-Z oeuvre. Secondly could you please tell us the secret of your indefatigability. I sure could use it at CarnotCycle, a thermodynamics blog known for running posts on probability during dry spells. A propos, my suggestion for B is Buffon’s needle.
Thanks very kindly. All I really know about indefatigability is that if I do a thing, like, three times then some part of my brain won’t let me stop. Anyway I quite admire CarnotCycle for your writing’s depth and detail.
I like the thought of Buffon’s needle problem, as well. Thank you for it.
Some suggestions that I can think of:
E – extreme value theorem
F – Fourier series / Fourier transform
G – Galois theory / Galois group
H – Hamiltonian
These are great suggestions too, and thank you! It looks like there’s a groundswell for Fourier series at the least.
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