Rigorous Introductory physics textbook

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An inquiry into finding a mathematically rigorous introductory physics textbook highlights a dissatisfaction with common texts that lack precision in their mathematical treatment. The discussion suggests alternatives that align with a mathematical background, including "Mathematical Methods of Classical Mechanics" by V.I. Arnold for classical mechanics, "Lectures on Quantum Theory: Mathematical and Structural Foundations" by Chris Isham for quantum mechanics, and "The Geometry of Minkowski Spacetime" by Gregory Naber for special relativity. These recommendations emphasize clarity and correctness in mathematical concepts, catering to those who prioritize rigorous approaches in their study of physics.
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I'm wondering if anybody knows about or has used a good introductory physics textbook that is mathematically rigorous. I'm really interested in physics, but I'm a mathematics student and I CAN'T STAND any of the books I've tried to use so far (eg. Knight's Physics). I've really grown to dislike texts that continually do things that are mathematically sketchy (or outright incorrect) but are "good enough for the purposes/scope/level of this textbook".
 
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I don't know any book that fits that description, but there are a few about specific areas of physics that you might like, for example "Mathematical methods of classical mechanics", by V.I. Arnold. For quantum mechanics, you might like "Lectures on quantum theory: Mathematical and structural foundations", by Chris Isham. It's supposed to be a fairly easy read, so it's not exactly filled with rigorous proofs, but it's at least not giving you the wrong ideas about anything. For special relativity, consider "The geometry of Minkowski spacetime", by Gregory Naber.
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

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