I highly recommend Road to Reality by Roger Penrose. Takes you all the way from classical through modern physics, and introduces all the necessary math. Gives you a good overview of the territory, but you might want to supplement with some extra literature/lectures to go more in-depth certain places.
Ask HN: How to self-study physics?
141–150 of 194 posts
Re: Ask HN: How to self-study physics?
#142Re: Ask HN: How to self-study physics?
#143Foundations:
1. Newtonian Mechanics by A.P. French (https://archive.org/details/NewtonianMechanics/mode/2up). This will give you a good foundation for what is to come.
2. Spacetime Physics by Taylor & Wheeler --- first edition if you can find it! It is much, much better than the second! Special relativity is conceptually strange, but mathematically pretty easy, so you can jump right into it after learning Newtonian mechanics. Have a little fun!
3. Electricity & Magnetism by Purcell. This book is a little unusual in that it derives magnetism from the laws of special relativity. This is the more natural approach than just asserting the laws of magnetism since magnetism is fundamentally a relativistic phenomenon.
4. Waves by Crawford. (https://archive.org/details/Waves_371/mode/2up) A bit hard to find in print, but a really excellent textbook. Waves are a fascinating topic because they come up in every area of physics, so a course focused around them has a huge number of applications.
5. Introduction to Quantum Mechanics by Griffiths. The best introduction to the topic you will find!
6. Thermal Physics by Kittel & Kroemer. I haven't actually found an introductory book on statistical physics that I'm crazy about, but this one isn't too bad.
That should last you some time. But once you're through with those and are looking for more, then here are some advanced topics:
7. Analytical Mechanics by Hand & Finch. This will teach you advanced Newtonian mechanics --- in particular Lagrangian and Hamiltonian dynamics. There is a chapter on chaotic dynamics towards the end, too. Another option here is Classical Mechanics by Goldstein.
8. Introduction to Electrodynamics by Griffiths. More advanced E&M than Purcell. If you want to go further, then there's always Classical Electrodynamics by Jackson.
9. Principles of Quantum Mechanics by Shankar. This spends more time on the mathematical foundations of QM than Griffiths does and goes into the path integral formalism and touches on relativistic QM towards the end of the book.
10. A First Course in General Relativity by Schutz. There are arbitrarily advanced texts on GR, but I'd recommend starting off with something friendly like Schutz.
11. An Introduction to Elementary Particles by Griffiths. Not super advanced mathematically, but it's a good thing to read over to prepare you for more advanced QFT texts. The first chapter is especially good as a history of the development of particle physics.
12. Quantum Field Theory in a Nutshell by Zee.
13. Modern Classical Physics by Thorne & Blandford. This is a tour de force. It's an enormous book but it really touches on everything that is left out by the above books. It covers optics, fluid dynamics, statistical physics, plasma physics, and more. (I'm currently reading through it and have only gotten through 6 chapters, but it's really an incredible textbook.)
14. Statistical Mechanics: Entropy, Order Parameters, and Complexity by Sethna. This is a really fun book, but almost all the material is in the problems.
Finally, and most importantly --- remember that physics is not a spectator sport! You must do problems. A lot of them --- and hard ones, too!
Re: Ask HN: How to self-study physics?
#144Earlier quoted context omitted.
>The observer effect in physics can be trivially expressed and evaluated as a mutating getter in any programming language. >It cannot be expressed in any Mathematical grammar. What on earth are you trying to say...? There is a whole mathematical treatment of quantum mechanics, measurement effect included (several treatments). More to the point, any algorithm can be formalised in e.g. a Turing machine, or any other eq…
>Any algorithm can be formalised in e.g. a Turing machine, or any other equivalent universal model of computation Quoting http://math.andrej.com/2006/03/27/sometimes-all-functions-ar... >>The lesson is for those “experts” who “know” that all reasonable models of computation are equivalent to Turing machines. This is true if one looks just at functions from N toN. However, at higher types, such as the type of our func…
I'm definitely not an expert but aren't irrational numbers are the best examples to show that these types of constructs already exist in math? You can't calculate them in finite amount of time. You use an analytical formula or series expansions to get the nth term instead.
Re: Ask HN: How to self-study physics?
#145Since you probably have a good background in optimization, work through problems in:
- Taylor for Classical Mechanics or Goldstein (a bit more advanced) - Griffiths for E/M and Quantum.
For stat. mech. I find the chemists have more intuitive textbooks.
- Introduction to Modern Statistical Mechanics by Chandler
Re: Ask HN: How to self-study physics?
#146Earlier quoted context omitted.
>Any algorithm can be formalised in e.g. a Turing machine, or any other equivalent universal model of computation Quoting http://math.andrej.com/2006/03/27/sometimes-all-functions-ar... >>The lesson is for those “experts” who “know” that all reasonable models of computation are equivalent to Turing machines. This is true if one looks just at functions from N toN. However, at higher types, such as the type of our func…
> In addition to the examples in the blog post linked above, you cannot express a mutating getter in Mathematics. Neither can you express foobarish bamboozles...
Q.E.D
Re: Ask HN: How to self-study physics?
#147Re: Ask HN: How to self-study physics?
#148Re: Ask HN: How to self-study physics?
#149For the love of God, don't use Feynman lectures to learn physics. That's something you read after you know physics, for relaxation and conceptual stuff. Resnick & Halliday is a much better freshman/sophomore book. Susskind's "theoretical minimum" is actually pretty good. http://theoreticalminimum.com/courses Fowler gives a pretty conventional undergraduate physics curriculum (adding Feynman in there somehow). If it w…
We all learn differently. Please don't deal in pedagogical certainties that may close doors unventured. Feynman's lectures were crucially eye-opening for me and many others.
Let's imagine physics=boxing. No amount of reading boxing books, or watching boxing videos is going to teach you any boxing. To learn boxing you have to throw 10,000 punches. To learn physics, you need to solve 1000s of questions. That is the necessary and sufficient condition for understanding physics.
Same way one learns software engineering after writing 100s/1000s of programs, not by watching videos of smart people coding (though that can help make you better).
Re: Ask HN: How to self-study physics?
#150Earlier quoted context omitted.
A bunch of functional programmers continue to insist that the Turing Machine has no ticker tape which stores state? Yeah. I know ;)
https://gabrielsw.blogspot.com/2012/04/purely-functional-tur...
You know that it could produce a different result on consecutive calls, right? Because the notion of a mutex/lock doesn’t exist in Math.
Mathematics doesn’t allow that, because it is not a “pure function”.
https://en.wikipedia.org/wiki/Pure_function
Non-determinism is the norm in distributed systems.
e.g any networked Turing machine.