Something I had read long time ago and also recently recommended by Ed Witten is John Wheeler's essay - "INFORMATION, PHYSICS, QUANTUM: THE SEARCH FOR LINKS" also famously known as the "It from Bit"essay (which now probably is "It from Q-bit" as our current understanding).
Modern Higher Algebra by A. Adrian Albert (1937, Dover/Cambridge). It covers both abstract algebra and linear algebra. Most modern textbooks tend to approach linear algebra from geometric perspectives. Albert's text is one of the few that introduce the subject in a purely algebraic approach. With a solid algebraic foundation, the author was able to produce some elegant proofs or results that you don't often see in mo…
Sorry about that. I shall try to do better.
This is the piece I love about HN. A comment refers to an accomplished person and he/she happens to be right there. And either supplying a correction or taking the feedback positively.
"Science and Sanity" — Alfred Korzybski (1933) http://pialogue.info/books/Science-and-Sanity-Korzybski.pdf "The Presentation of Self in Everyday Life" — Erving Goffman (1956) https://monoskop.org/images/1/19/Goffman_Erving_The_Presenta...
I once read original works of Sir William Rowan Hamilton and was amazed at the clarity of thought he demonstrated, a truly open mind to understanding nature.
Books by Max Born (Atomic Physics, and Theory of Relativity) are absolute awesomness.
Modern Higher Algebra by A. Adrian Albert (1937, Dover/Cambridge). It covers both abstract algebra and linear algebra. Most modern textbooks tend to approach linear algebra from geometric perspectives. Albert's text is one of the few that introduce the subject in a purely algebraic approach. With a solid algebraic foundation, the author was able to produce some elegant proofs or results that you don't often see in mo…
Sorry about that. I shall try to do better.
For those who are reading this, let me stress that it is not that Prof. Hefferon's proof of Cayley-Hamilton theorem is bad (it is actually better than some really horrible proofs that appear in some well-received textbooks), but that Albert's treatment is superb --- it is far better than the treatments of the theorem in most modern textbooks, including Prof. Hefferon's. Also, I was certainly not commenting on the overall quality of Prof. Hefferon's book, and I thank him for offering his textbook for free.