Is Penrose's Road to Reality the Ultimate Guide to Mastering Physics Math?

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The discussion centers around a book that is frequently recommended but raises skepticism among readers regarding its effectiveness in teaching physics and the necessary mathematics. The book is perceived as more of a comprehensive overview of existing physics knowledge rather than a traditional textbook focused on mastering the subject. It is noted that while it includes mathematical concepts, the emphasis is on explaining how these concepts support various laws of physics, rather than providing rigorous mathematical training. Some participants liken it to a history of physics, highlighting its narrative style that intertwines historical context with scientific ideas, rather than a straightforward presentation of proofs and formulas. The book is appreciated for its engaging approach to the evolution of scientific concepts, making it more accessible and less tedious than typical biographies of scientists. Overall, it serves as an expositional resource rather than a rigorous mathematical or physics textbook.
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A lot of people keep recommending this book, I have it but I'm a little skeptical about trying it out. I want to do the hard calculations and master them whereas it seems this book just tells you what's out there, it doesn't show you how to master the subject matter. However, it's really hard finding out what math is needed for the physics you want to master so I'm thinking maybe this book outlines the math for all the laws of nature in existence. I'm not interested in pure math, I'm just interested in the math needed for physics and I'm wondering if that is what this book is about.
 
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It's not a book to teach you physics really, rather explain all of what is known in the world of physics (to the best of the current working knowledge). Most of the math intensive parts you can skip if you aren't well versed in the math that is discussed within the book. When I read it, the math wasn't the main part of the book rather the explanation of how law x is supported by 'this' math, more of a proof in other words imo.

Some people felt that it acted more like a history book of physics to which I can agree with as well.
 
Definitely not a textbook. If you went through 1,000s of math/phys books, paraphrasingly extracted all the little side notes, motivations, informal comments on the significance/implication of some theorem or formula, historical notes, and other bodies of information that's more expositional then proof, then I think you would have to move your bed into the library and start paying rent, but also I think result of which would be a book like this. I would say that it's got a lot of historical discussion in it, as any science book really should include if even relegated to the end of the book in a "history" section, but as far as I've read into it, there's more of a focus on the history and evolution of the ideas themselves and not bibliographical information.

I've read a few biographies on scientists, and I find those really boring. Honestly, I just forget the dates and who did what besides the really big stuff. But this book, at least so far, I'm now to the chapter on manifolds, doesn't bore me with that stuff.
 
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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