Is changing from physics to mathematics possible?

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James33
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I have finished my undergrad in physics and am thinking about going into a postgrad in mathematics. Since I did not major in mathematics how hard is this going to be?Is it going to be very different?I have done a lot of reading on my own and I think I may be able to cope and catch up anything I have not learnt. Should I be worried about making this decision?I'm hoping to pick a topic in either differential geometry or dynamical systems and ergodic theory. How foreign will this be for me coming from a physics background?Thanks

-James
 
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Yeah I did the first 2 years of Math Major and then Engineering Math after that. But the engineering math was not as rigorous.