Math and physics textbooks/syllabus

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For preparing for the Physics Aptitude Test (PAT) at Oxford, it's crucial to thoroughly review all past papers available on the official website. Engaging with these papers helps identify key areas of focus and question types. If difficulties arise with specific questions, seeking clarification from the forum is encouraged. Additionally, after solving the problems, exploring alternative, more efficient methods—such as using rules of thumb, dimensional analysis, or Fermi estimation—can enhance understanding and problem-solving skills. This approach not only solidifies foundational knowledge in mathematics and physics but also prepares candidates for SAT subject tests in these areas.
Maddie1609
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Hi,

I'm from Europe and my country has a quite different school system than in the US, therefore I need some advice on which mathematics and physics textbooks to use for this test and hopefully course: https://www2.physics.ox.ac.uk/study...ations/physics-aptitude-test-pat/pat-syllabus

It doesn't have to be specific textbooks, just which courses to learn and in what order (for example algebra I, geometry etc.). I already have some courses under my belt, but I want to make sure I have absolutely everything I need to do well, including the very basics.

I'm also taking SAT subject tests in physics, and mathematics level I and II, so if anyone has an idea what I should know to ace this, let me know.

Thanks a lot in advance, this forum is excellent!
Madeleine
 
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And then, after going through these papers, see if you can find faster or more simple solutions to all the problems. Either computationally simpler, or using rules of thumb, dimensional analysis and Fermi estimation.
Show these to the forum, and others may give their faster solutions if they are interested.
 
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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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