A Course in Modern Mathematical Physics
by Peter Szekeres · first published 2000
100% recommend
This book provides an introduction to the major mathematical structures used in physics today. It covers the concepts and techniques needed for topics such as group theory, Lie algebras, topology, Hilbert space and differential geometry. Important theories of physics such as classical and quantum mechanics, thermodynamics, and special and general relativity are also developed in detail, and presented in the appropriate mathematical language. The book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics, as well as applied mathematics. I
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If you're willing to branch out into stuff that falls into the "not going to get you hired, but enriching personal experiences" bucket, then my number one recommendation will always be 'A Course in Modern Mathematical Physics' by Peter Szekeres. The book compresses so much into ~1000 pages without feeling like you're missing anything as you go. You can get a lot from the David Tong lectures if you want something similar but…
on “Ask HN: Which MOOCs in Math/CS are worth still worth taking in 2022?” ↗…time. Good Luck. [0] Engineering Mathematics by Stroud/Booth https://www.amazon.com/Engineering-Mathematics-K-Stroud/dp/0... https://www.amazon.com/Advanced-Engineering-Mathematics-Kenn... [1] A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry by Peter Szekers https://www.amazon.com/Course-Modern-Mathematical-Physics-Di... [2] Book of Proof by Richard Hammack https://www.people.vcu.edu/~rhammack/BookOfProof/…
on “Using spaced repetition systems to see through a piece of mathematics” ↗If you want to approach physics from a mathematical background I strongly recommend Peter Szekeres' book 'A Course in Modern Mathematical Physics' http://www.amazon.co.uk/gp/aw/d/0521829607/ref=redir_mdp_mob...
on “Modern Physics From Scratch” ↗A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry by Peter Szekeres My intro to abstract math... Wide range of topics, very clearly written and very well structured. Sets, groups, vector spaces, tensors,…
on “Ask HN: Math books that made you significantly better at math?” ↗"A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry" by Peter Szekeres has several chapters on linear algebra early on, starting with sets and groups and including tensors (which you absolutely need for…
on “I don't understand quantum physics (2018)” ↗