(a) Show that the coordinate transformation (x, y) ( with = x and ( =...

Question:

(a) Show that the coordinate transformation (x, y) ( ξ with ξ = x and ( = 1. ((/(x = 0 and (( / (y = 0. This violates Eq. (5.6).
(b) Are the following coordinate transformations good ones? Compute the Jacobian and list any points at which the transformations fail.
(i) ξ = (x2 + y2)1/2, η = arctan(y/x);
(ii) ξ = ln x, ( = y;
(iii) ξ = arctan(y/x), ( = (x2 + y2)-1/2.
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: