What are some recommended science and math books for a sophomore in high school?

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A high school sophomore with strong academic performance in advanced science and math courses seeks recommendations for reference books in calculus, physics, chemistry, and astronomy. The individual has completed Calculus 1 and is looking for more advanced texts, particularly in physics that utilize calculus rather than trigonometry. Suggested books include "Differential and Integral Calculus" by Richard Courant and "Calculus" by Michael Spivak, both of which are noted for their depth and rigor. For physics, "Fundamentals of Physics" by Halliday and Resnick is recommended as it is calculus-based, although some sections may involve differential equations and integration techniques. The discussion emphasizes the importance of selecting materials that challenge the student while still being accessible based on their current knowledge.
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I am a sophomore in high school, and I have currently taken through Calculus 1, Chemistry, Biology, Astronomy, and 2 years worth (my school crams 1 year of material into a semester) of mixed sciences all with A's. While each of the classes served as an introductory level course(a little bit more advanced than normal because of my science teacher), I wanted to have a calculus, physics, chemistry, and maybe an astronomy book just to have a reference (any other science/math books you would recommend as a reference). Maybe books that are a little more advanced than introductory level courses. I have not taken an actual physics class though I do know the very basics, so maybe a physics book that is introductory, but still uses calculus, not trig. Thanks in Advance
 
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Differential and Integral Calculus (I think this is vol. 1)
(ISBN: 0471608424 )
Richard Courant
Bookseller: Castle Rock (Las Vegas, NV, U.S.A.)
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Differential and Integral Calculus (I think this is vol 2)
(ISBN: 0471608408 )
Richard Courant
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Thank you, I'll look up those two books.
 
Calculus, by Michael Spivak
Fundamentals of Physics by Halliday and Resnick

The latter is calculus based. If you covered integration in your calc course you should be fine (not sure what was meant by high school calc I)
 
Okay, looking online for books, Halliday and Resnick popped up a lot.

I took calculus at the local community college because I was taking trig first semester and placed into calculus 2nd semester. The system they use calls the classes Calculus 1, 2 and 3.

Thank you
 
Oh okay then you should be fine with Halliday and Resnick, with the exception of a fiew parts where there are differential equations (circuits) and possibly a few parts where there are integration techniques like trig substitution used, although you should be able to follow along with the latter. You shouldn't encounter this stuff until after the physics 1 material though.

both spivak and courant v1 will cover the material of calc 1 and calc 2 on that system, but are likely more advanced and will make you think a lot more.
 
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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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