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Hi

I am a third year electrical engineering undergraduate, who would also like to engage in higher study of mathematics. I am in awe of mathematics, having done linear algebra and calculus as part of engineering, plus whatever is necessary for elec engineering (Laplace, DE's, Fourier, complex numbers, LTI systems).

However, I have a problem that is stopping me from taking higher level courses, a problem that I ascribe to the very poor junior and secondary mathematical education in Australia. I freeze whenever I see problem along the lines of "Prove ...". I am sufficient at applying theorems to practical problems, but have difficulty with highly theoretical problems.

How do maths students deal with proofs, definitions and theorems? How do they get it into their head, as well as the 'method' for solving practical problems?

Do you think these books will help me understand on how to master the underlying concepts of mathematics?

https://www.amazon.com/dp/0471135712/?tag=pfamazon01-20

https://www.amazon.com/dp/0691023565/?tag=pfamazon01-20

Can anyone think of other resources to help me think how mathematicians think?

I am a third year electrical engineering undergraduate, who would also like to engage in higher study of mathematics. I am in awe of mathematics, having done linear algebra and calculus as part of engineering, plus whatever is necessary for elec engineering (Laplace, DE's, Fourier, complex numbers, LTI systems).

However, I have a problem that is stopping me from taking higher level courses, a problem that I ascribe to the very poor junior and secondary mathematical education in Australia. I freeze whenever I see problem along the lines of "Prove ...". I am sufficient at applying theorems to practical problems, but have difficulty with highly theoretical problems.

How do maths students deal with proofs, definitions and theorems? How do they get it into their head, as well as the 'method' for solving practical problems?

Do you think these books will help me understand on how to master the underlying concepts of mathematics?

https://www.amazon.com/dp/0471135712/?tag=pfamazon01-20

https://www.amazon.com/dp/0691023565/?tag=pfamazon01-20

Can anyone think of other resources to help me think how mathematicians think?

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