Six Math Essentials

digital55 196 points 34 comments November 10, 2026
teorth.github.io · View on Hacker News

Discussion Highlights (12 comments)

pdhborges

The book is quite basic. Don't expect to get much out of it if you have a STEM degree.

lbeckman314

Previous Discussion (February 2026): https://news.ycombinator.com/item?id=47113796 TIL about Quanta Books, thanks OP — will be checking this out! :D

prideout

I heard he was writing a book about the Cosmic Distance Ladder. I was looking forward to that, I hope this isn't what it evolved into.

tveita

I quite liked this interview: Terence Tao explains 6 essential mathematical concepts: https://www.youtube.com/watch?v=OOMx2BHHWtE

antimora

Received my copy today via Amazon.

slwvx

The "algebra excerpt" [1] doesn't impress me at all. Sure, maybe equations intimidate some, but why not add some images or figures? Is that page really one of the six chapters, or is it 1/10 of a chapter? Is this a book for children? [1] https://www.sciencefriday.com/articles/six-math-essentials-b...

flowerlad

The amazon preview [1] does not even show the contents page. How am I supposed to check if I might be interested in this book? [1] https://www.amazon.com/dp/0374621799?tag=macmillan-20

jfr6fgjk

Beats Math Essentials by Terrence Howard.

koolba

What age range or skill level is this targeting?

stldev

I pre-ordered some time ago, and received a copy this morning. I love it. It's direct and well-written; a high-level overview of mathematics from numbers to analysis and dynamics. I think it's well organized, if brief at ~100pp. This would be a great read for laypeople as well as a potential gap-filler for anyone in STEM.

bmitc

I got this book today, as I had it on pre-order. It's a bit disappointing because, on a quick count, there are only five pages with pictures. And I think I saw just a few equations. It's a bit strange to leave out two essential mechanisms for how mathematicians work and think in a book named Six Math Essentials .

mmooss

Tao's essentials are, "... numbers as the gateway to quantitative thinking; algebra as the gateway to abstraction; geometry as a way to calculate beyond what we can see; probability as a tool to navigate uncertainty with rigorous thinking; analysis as a means to tame the very large or the very small; and dynamics as the mathematics of change."* Does Tao intend that as the 100,000 ft view of all mathematics, a way to categorize (almost) all of it, the roots of the mathematics tree? Are these the essentials or just some valuable ones. For comparison, Gowers begins a much larger book with, "there is a crude division that undoubtedly works well as a first approximation, namely the division of mathematics into algebra, geometry, and analysis." [0] There must be other schemes out there? What are the respected ones? [0] Timothy Gowers, ed. The Princeton Companion to Mathematics . p.1 (2008)

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