Didier 'Dirac's ghost' Gaulin
@DiracGhost
Docendo discimus. Mathematician. Amateur physicist. Program computers and reverse engineer them. Philosophical anarchist. Guitar player. Voluntarist. COYG.
'The Geometry of Numbers' by Olds, Lax and Davidoff (AMS) is in my opinion, the very best introduction to this wonderful and deep subject, which is often unknown to those who have not studied number theory. Very little is required to get into the subject, outside of basic…

Four math books that had a big influence on my (mathematical) thinking. Homotopy Type Theory (Voevodsky ++) Foundation of Differential Geometry by Kobayashi and Nomizu The Mysteries of the Real Prime by Shai Haran The Geometry of Physics by Theodore Frankel Your turn.
Four math books that had a big influence on my mathematical thinking. Your turn.
If you're interested in learning some particle physics, I would suggest you to read Alessandro Bettini's 'Introduction to Elementary Particle physics', which is available in open access form over at Cambridge University's website.

Yes, it happens to be the case that the classic 'The Classical Theory of Fields' by Landau and Lifshitz is publicly available on the Internet Archive, and if I were you, I'd go and check it out.

I recommended 'The Dawning of Gauge Theory' by Lochlainn O'Raifeartaigh (Princeton University Press) a while ago, which is a technical history of the idea behind gauge theory, and since it's a book which isn't often mentioned, I thought I'd suggest it again (The cover is rather…
Check out this 1982 classic 'An Introduction to Gauge Theory and the New Physics' by Leader and Predazzi (Cambridge University Press), a great introduction to gauge theories.
Check out this 1982 classic 'An Introduction to Gauge Theory and the New Physics' by Leader and Predazzi (Cambridge University Press), a great introduction to gauge theories.

Check out 'Geometry and Quantum Field Theory' , a series of collected lectures edited by Daniel S. Freed and Karen Uhlenbeck published by AMS (IAS/Park City Mathematics Series). I've mainly used this little gem for Orlando Alvarez's lectures on quantum mechanics and the index…

You never have enough books on quantum mechanics, so why not invest some of your time on ' Quantum Mechanics and Path Integrals' by the legend himself, Richard Feynman and Albert Hibbs. This is a great text to check out on your journey towards an understanding of QM, and for…

For those who are approaching QM and QFT from a mathematical perspective, I would suggest Johnathan Dimock's (Cambridge University Press) '' Quantum Mechanics and Quantum Field Theory: A Mathematical Primer''. The book assumes a very minimal amount of knowledge on the physics…

Practicing my ancient Greek reading today, which is challenging. Any of you learning a language, ancient or modern?

Didn't think I'd have to open RamMap this Saturday. Here I am.
'Moonshine Beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics' by Terry Gannon (Cambridge).

'ἔσχατον δή, ἦν δ’ ἐγώ, τὸ τοῦ ἀγαθοῦ ἰδέαν φατέον εἶναι, καὶ μόγις ὁρᾶσθαι, ὁραθεῖσαν δὲ συλλογιστέον εἶναι τὴν πάντων ὀρθῶν τε καὶ καλῶν αἰτίαν.' (Republic 509b–509c)