
Re: Typos in the 2007 Vintage Paperback edition
vasco wrote:
Are you presenting us with a New Year joke?
If not can you explain this in more detail please? It doesn't make sense to me.
zorba wrote:
Page 96, i is missing on both sides of the equation e^(a+b)=(e^a)(e^b)
So what do you think the equation should be when it's corrected?
Sorry, I did not mean that the equation e^(a+b)=(e^a)(e^b) is wrong per se. What I meant is that if one is going to show those expressions on page 96 using Euler formula then one will include the i in them.
e^i(a+b)=(e^ia)(e^ib)
cos(a+b)+isin(a+b)=(cosa+isina)(cosb+isinb)
The right side of the above equation becomes
cosacosb-sinasinb+i[sinacosb+cosasinb]
Thus
cos(a+b)=cosacosb-sinasinb
sin(a+b)=sinacosb+cosasinb