Click here to purchase the entire book in PDF format. Complex Math Part 1 - Addition Let's say that you have to add complex numbers. In this case, you have to keep the real and imaginary components separate, but you just add the separate components separately. For example: $$(5 + j3) + (2 + j4) = (5 + 2) + (j3 + j4)$$ (2.24) $$= (5 + 2) + j(3 + 4)$$ (2.25) $$= 7 + j7$$ (2.26) If you'd like the short-cut rule, it's $$(a + jb) + (c + jd) = (a + c) + j(b + d)$$ (2.27)