suppose a water falling from pipe that above the ground with 5 meters,
what is the equation that describe the level of water ( h) from pipe the hole at every moment of time? consider the pipe hole is circle
.
Goldstein is great book, just give it a try and read the lightly first chapters just to first 150p. and try to read hamiltonian formalism chapter. You'll enjoy quantum mechanics because you will understand schrodinger formalism.
If you mean if it neccesary to read the whole book, No you don't...
Just use OpenStax Books,They are good and free.
and Geometry (after you learn basic things,like pythagorean theorem and finding slop, equation of line and finding area and volume of some shapes you which the first part is important for calculus), You must learn it alongside with your last...
If you're beginner, choose Peskin&Schroeder ( expensive price for new copy) every good QFT book is expensive .. after that just take Greiner book ( Quantum Chromodynamics ) paperpack version for 77$, Its very hard to find a good book and price under 60$ like this. And Another Important thing is...
Just take Purcell I myself study it and like it a lot, and many people here like it, Or Griffiths book which is another great electromagnetism book, just one of them or both and you'll be good.
Padmanabhan is at the level of zee and Blundell, If you study Padmanabhan and Zee, You must go for advanced book like Peskin, Weinberg is Complete but I think you must take it after Peskin, But another thing I need to say, I never study from Schwartz Book, but this doesn't mean you don't take...
You can say that this book is the Mini-version of Zee book,I really surprised in the way Padmanabhan explain things , you can't compare it to Peskin, since Peskin is about how to compute things, and this book is about how to think the right way in QFT, but if you mix these two together you'll be...
Will maybe its a good supplement for Zee, and Peskin.
Just start with it alongside with Zee, and After finish it, go for Peskin, I think Padmanabhan is excellent writer, he have books about Astrophyiscs and Gravity.
Most Formulas is that you need to Understand It and explain it, there a very little equation that you must remember, but I think if you memorize the basic equation, then you can derive all other equations.