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what is Mathematical physics ?

what does it mean ?

what does it study ??

how can we study it ?!!

and what is the relation between maths and mathematical logic ?? and what is the relation between mathematical physics and physics ? and what is the relation between mathematical physics and physics ?!!

what is the application of this branch of science ?

and what is the best text which the one can use it to study mathematical physics ??

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Is there some specific area in (mathematical) physics you are interested in? How much do you already know about these questions? –  Berci Feb 3 '13 at 15:15
    
@Berci , i don't know anything about it !!! i just know the title ! mathematical physics !! i want to know about it as i mentioned in my question :) plz help if you can –  Maths Lover Feb 3 '13 at 15:22
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If you really have no idea at all, Wikipedia might be a good starter –  Hagen von Eitzen Feb 3 '13 at 15:25
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closed as not a real question by Henning Makholm, robjohn Feb 3 '13 at 16:43

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

2 Answers

1)Development of mathematical theories(or using an already existing theory/method) in order to apply them to problems in physics is termed as mathematical physics.

2)It doesn't study anyting but if you are studying (or decided to study) mathematical physics,then you'll be studying physics.

3)You can study mathematical physics by enrolling yourself in a university or watch this lecture series.,or go to a library or by buying books(self study).

Please consult google or wikipedia for an in-depth info on this topic.You are welcome to ask us stuffs that you don't understand from that.

By the way check out Edward Witten's page on wikipedia who's my favorite mathematical physicist to draw some inspiration.In my opinion there isn't any best text on mathematical physics.I choose which ever text that shows up first in amazon's page and make an attempt to read it and understand!

By the way,also make an attempt to read about mathematical logic in wikipedia along side mathematical physics and you'll discover that there's no relation exists between those two.Mathematical logic is a part of mathematics which finds it's application in computer science.The basic common sense that we use (or may not at times!) is in a way logic although not mathematical!

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The way I understand it, mathematical physics is not a domain of mathematics per se (contrary to, say, probability theory or algebraic geometry). It refers to areas of mathematics which are very strongly tied to theoretical physics. For example, studying the Navier-Stokes equation, or Schrödinger's equation with certain potential, is mathematical physics. Other areas of mathematical physics may be related to relativity theory, quantum field theory, etc.

The difference with physics is that, as usual in math, you may forget the physical motivation to explore different (more interesting, more general or on the contrary easier) settings, even if you lose most of the physical sense.

If you're interested, my advice would be : try to get a general overview of various fields in maths and physics (I don't know what your current degree of education is). Then, you'll have to decide if what you're really interested in is the physics or the maths (ask yourself, do I primarily want to understand how PDEs work, or do I want to understand how nature works ?) Depending on the answer, choose between math and physics. The choice of the field (string theory, field theory, relativity theory, etc.) will also depend on the mathematical tools used in this field, so be sure to build a large scientific culture instead of trying to choose to early.

As for mathematical logic, it's a completely unrelated question. Logic is concerned with questions such that : what happens if we replace such axiom by such axiom ? what is a proof exactly ? given a statement, is it always possible to find a proof of it or its negation if its false ?

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