A Quote by John C. Baez
... commutative algebra is a lot like topology, only backwards.
Related Quotes
They have the idea that non-commutative algebra should remind one of commutative algebra, but the former is more sophisticated. I believe that non-commutative algebra is just as simple, but it is different.
... The approach of von Neumann and Connes to the use of non-commutative algebra in physics is naive, the situation is much more complicated.
Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry.
The fun little proofs that you can do with algebra - they are sort of like crowd pleasers in a way. Like, the .9 repeating equaling one. It doesn't take a lot of algebra to prove that, and it's really fun. It kind of wows people. It's like they're watching magic happen right before their eyes.
In Einstein's general relativity the structure of space can change but not its topology. Topology is the property of something that doesn't change when you bend it or stretch it as long as you don't break anything.
Yes, I took a remedial algebra course in college. I struggled in math in high school and didn’t have confidence to plunge in with a for-credit algebra course. The remedial course gave me a lot of confidence so that when I took the for-credit algebra course it was fairly easy and I got a ‘B,’ of which I remain proud today!
[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing - one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.
The voice belonged to Mr. Pzyrbovich, an algebra teacher who was always called Mr. P, for obvious reasons. He has a heavy accent, which a lot of kids said made him hard to understand, although to be fair some of these kids would have never understood algebra anyway.
Instead of five hundred thousand average algebra teachers, we need one good algebra teacher. We need that teacher to create software, videotape themselves, answer questions, let your computer or the iPad teach algebra... The hallmark of any good technology is that it destroys jobs.
Stand firm in your refusal to remain conscious during algebra. In real life, I assure you, there is no such thing as algebra.
We may always depend on it that algebra, which cannot be translated into good English and sound common sense, is bad algebra.
I learned to run backwards from Muhammad Ali. He told me about running backwards because you try to imitate everything you do in the ring, so sometimes you back up. So you have to train your legs to go backwards.
The Providence of God is like Hebrew words-it can be read only backwards.
Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain. No attention should be paid to the fact that algebra and geometry are different in appearance. Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements.
I never think of what it's going to be like later. I only think in the present tense. The only time I think backwards is when I have to reissue something.
I thought of computers as very low class. I thought of myself as a pure mathematician and was interested in partial differential equations and topology and things like that.
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