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    Maths required for studying intermediate to advance physics

    Thanks for all your guys reply. Actually, I am now more confused after the last bit of the discussion..... But, indeed, this is a question without a conclusive answer. So, I'd like to ask the following: sometimes I found the proof in topic of metric space is redundant and unnecessary; the result...
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    Maths required for studying intermediate to advance physics

    Thanks once again to Arsenic and micromass! Finally, I want to ask how much maths normally will the university teach and cover during undergraduate physics syllabus (Take the theoretical physics stream + honor stream)? I want to use the reference to check my progress.
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    Maths required for studying intermediate to advance physics

    Thanks Zombie and Arsenic. I'd like to ask do you got books recommendation in each field stated above? (espeically Linear algebra, Elementary complex analysis, Group theory) [Personally, I have read Linear Algebra:A modern introduction and Metric Space (springer publisher). Currently, I am...
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    Maths required for studying intermediate to advance physics

    Hope someone can help me to list the important math topics required to study for a person interested in studying condense matter, solid state physics, intermediate quantum mechanics and particle physics. (I can't get a Personally, i prefer to study math tool before studying the physics...
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    Thermodynamics - Adiabiatc Expansion

    Re AM: (VixTi)^3/2=(VxT)^3/2=constant isn't it, since the whole process is Adiabiatic Expansion, the above equation satisfy in any time during the process.
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    Thermodynamics - Adiabiatc Expansion

    Just a thought ΔU=nR∫(T/V)dV where T can be represent by V (VixTi)^3/2)=(VxT)^3/2=constant <-- calculate by sub initial conditions.
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    Calculation of potential of an grounded sphere ball with charges

    Homework Statement Consider an originally neutral conductor sphere of radius R with a cavity and a point charge Q1 inside the cavity. (a)The conductor is grounded. Find the electric potential outside the conductor and the total charge on the conductor. Homework Equations The Attempt at a...
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    Ask for Books recommend to new G.R. learner

    thanks for all of you~(my teacher suggest me not to touch G.R., he said because it's mathematical skills in G.R is too complicated, include differential geometry which I haven't learn it before. So, I think I finished those mathematical skills first, before I learn G.R.)
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    Ask for Books recommend to new G.R. learner

    I had read Griffiths#Introduction To Electrodynamics(3rd Ed.), vector calculus(springer), fundamental of physics(except optics), first 2 chapter of classical mechanics.
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    Ask for Books recommend to new G.R. learner

    I really want to learn about G.R. but I don't know how to study. So I hope someone would recommend books to me for the study basic G.R. (Do I need to master electromagnetic/static/dynamic, because I am really bad at it)
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    How to distinguish the charge carry by different object after rub by something?

    How to distinguish the charge carry by different object after rub by something?? Homework Statement How to distinguish the charge carry by different object after rub by different things?? Homework Equations Nope~ The Attempt at a Solution I do the experiment in the school, but...
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    Lipid and protein

    Homework Statement Proteins and lipids have some similar but also some different functions in living organisms. Describe these functions and explain why proteins and lipids are suitable for these functions. (It is a question for F.4) Homework Equations NO. The...
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    Are all acid have covalent structure in solid state?

    Are all acid have covalent structure in solid state?
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    What is the essential elements of being a mathematician

    but I think olympiads always study into very details, and all way of solving the problem is always abstract. So, could you tell me what exactly is the idea and proposes of olypiad, because some of my teachers said olympliad is a branch of math, and some said it equals to the ability of your...
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    What is the essential elements of being a mathematician

    I just want to know, what are the essential elements of being a mathematician? Because I want to decide whether I am better to study physics or mathematics in the University. I knew that a lots of people learn mathematic olympiads and got a good result in the competition...
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    Some question about number theory

    How to prove that if a-c | ab+cd then a-c | ad+cb is correct?? And how to prove the gcd(a^2+b^2, a+b) is 1 or 2. where gcd(a,b)=1.
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    Some question about motions

    Thinks for ur opinion first. I still think it is a circular motion, isn't it (the only thing is the radiu is keep changing)., in the question, we can observe that the angle made by the hunter and the dog is 90 degree(I don't like radian, althought all my physics teacher tell me to...
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    Some question about motions

    Q1: There is a man riding a motorcar, and it move toward west with 4m/s, and the man feel the wind blow from the south. If the motorcar increase the speed to 6m/s, he feel the wind is blow from SE(or135), so what is the wind speed? When I do this question, I don't know why the man can feel...
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