4 ms·

I just hate them.. Why don't we just use vectors and make math easier to learn?

• cwhy 12y ago
  And basically, negative numbers can be avoided as well using the concept of vectors
• darkmighty 12y ago
  Complex numbers are the key to complex analysis which is different than just real multivariate calculus (it has certain constraints).
• onedognight 12y ago
  > Why don't we just use vectors and make math easier to learn? We do just use vectors; over complex numbers. You really want both, where the vectors themselves are made up of[1] complex numbers. Using a single complex number to represent a vector has gone out of style in some sense because it's restricted to two dimensions. For example historically it was quite common to represent the velocity of a fluid at each point with a complex number. While you can do this, and there are many of advantages, most don't generalize to higher dimensions. [1] technically the field is complex numbers https://en.wikipedia.org/wiki/Field_%28mathematics%29 https://en.wikipedia.org/wiki/Field_%28mathematics%29
• sobellian 12y ago
  Complicated math concepts (like differential equations) are much easier to learn with a solid background in complex numbers. Vectors are important, but so are complex numbers.
• tobinfricke 12y ago
  How would you compute exp(v) for a vector v? (for example)