I am a Engineering postgraduate student and want to learn algebraic geometry especially to count the dimension of the solution space of system of polynomial equations. Can you recommend a book and if possible a video lecture that one can learn the fundamentals. My knowledge in linear algebra is very good but algebraic geometry is almost zero.
Is differential geometry something related to algebraic geometry?
There are some links stated in https://mathoverflow.net/questions/78037?sort=votes#sort-top but i am not sure which one would be easy to understand for engineering students.
Thank you in advance.