Livethefire
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Background
Next year I am going to be a final year student - Msci Physics. I am fairly mathematically competent even though I don't "take" any theoretical/math options (my confidence in this area is another question). In first year we had a standard introduction to all the topics we were supposed to need. Any book with the title: "Mathematical methods for Sciencetists and engineers" would be a typical example of around about the same content for the full year course with some topics missing or not covered in depth etc.
I quite enjoy all fields I have been exposed to, if I had to choose favourites I would say EM and QM. Ironically these topics are the areas in which have a huge mathematical framework - I cannot say whether or not that is the reason I like them so much or not. In retrospect I would say I was in pretty good standing to actually change my "degree pathway" from just physics to Theoretical Physics- just so I could do more math. Although, I am still not sure if this would have been better because I would have been exposed to less physics.
Main point:
I am a student on a regular physics course with strong interest in EM, QM and mathematics in general. I wouldn't say I am confident in mathematics but I do have good grades. I would say I equally enjoy experiments and theory.
Question
Are there any books that bridge the gap between typical Physics undergrad math to that taught to Theoretical undergrad students?
I would have the interest in proceeding with a PhD after university, however I definatly feel that I am not of the calibur to apply for a theoretical position- and I am not sure I'd even want to. I think that being aware of/ and or being able to use as much maths as posible is advantageous for any person in science.
Additionally I would be happy to hear any advice.
Next year I am going to be a final year student - Msci Physics. I am fairly mathematically competent even though I don't "take" any theoretical/math options (my confidence in this area is another question). In first year we had a standard introduction to all the topics we were supposed to need. Any book with the title: "Mathematical methods for Sciencetists and engineers" would be a typical example of around about the same content for the full year course with some topics missing or not covered in depth etc.
I quite enjoy all fields I have been exposed to, if I had to choose favourites I would say EM and QM. Ironically these topics are the areas in which have a huge mathematical framework - I cannot say whether or not that is the reason I like them so much or not. In retrospect I would say I was in pretty good standing to actually change my "degree pathway" from just physics to Theoretical Physics- just so I could do more math. Although, I am still not sure if this would have been better because I would have been exposed to less physics.
Main point:
I am a student on a regular physics course with strong interest in EM, QM and mathematics in general. I wouldn't say I am confident in mathematics but I do have good grades. I would say I equally enjoy experiments and theory.
Question
Are there any books that bridge the gap between typical Physics undergrad math to that taught to Theoretical undergrad students?
I would have the interest in proceeding with a PhD after university, however I definatly feel that I am not of the calibur to apply for a theoretical position- and I am not sure I'd even want to. I think that being aware of/ and or being able to use as much maths as posible is advantageous for any person in science.
Additionally I would be happy to hear any advice.