Monday, December 7, 2015

complex analysis - Understanding $e$ and $e$ to the power of imaginary number

How did the value of $e$ come from compound interest equation. What does the value of $e$ really mean...



Capacitors and inductors charge and discharge exponentially, radioactive elements decay exponentially and even bacterial growth follows exponential i.e., $(2.71)^x$ ,why can't it be $2^x$ or something.




Also $e^2$ means $e*e$ ,$e^3$ means $e*e*e$
But what exactly $e^{ix}$ mean...



I want to know how to visualise $e^{i \pi} =-1 $in graphs... I knw how to get the value of such type of equations but Im not able to understand what they actually mean....
Plz help me...

No comments:

Post a Comment

analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...