I am total beginner in mathematica. Don't know a thing. I need to draw some diagrams for showing the conformal nature of map $w=e^z$.

I need to draw some contours in z-plane e.g. horizontal line, vertical line, 45 degree line and unit circle. Then I need to obtain the mapped curves in w-plane where u and v are functions of x and y.

I have no idea how to do this? please help me.

I am total beginner in Mathematica. Don't know a thing. I need to draw some diagrams for showing the conformal nature of map $w=e^z$.

I need to draw some contours in $z$-plane; e.g., horizontal line, vertical line, 45 degree line and unit circle. Then I need to obtain the mapped curves in $w$-plane where $u$ and $v$ are functions of $x$ and $y$.

I have no idea how to do this? Please help me.

I am total beginner in mathematica. Don't know a thing. I need to draw some diagrams for showing the conformal nature of map $w=e^z$.

I need to draw some contours in z-plane e.g. horizontal line, vertical line, 45 degree line and unit circle. Then I need to obtain the mapped curves in w-plane.

I have no idea how to do this? please help me.

I am total beginner in mathematica. Don't know a thing. I need to draw some diagrams for showing the conformal nature of map $w=e^z$.

I need to draw some contours in z-plane e.g. horizontal line, vertical line, 45 degree line and unit circle. Then I need to obtain the mapped curves in w-plane where u and v are functions of x and y.

I have no idea how to do this? please help me.