The confusion is due to SI units where B and H do have a complicated connection. In Gaussian units, H is just B-4\pi M, where M is magnetic polarization of matter.
This image may help. The brother on Earth follows the vertical line. The traveling brother moves out the x-axis, and then returns. On a map, he would have traveled further. But, in space time, s^2=t^2-x^2, so he has traveled a shorter space-time 'distance'.
Higher editions sell more new books, and shuffle the problems. A publishing contact generally gives the Publisher the right to demand a new edition. Jackson 2 is better than Jackson 3. Each new edition of Arfken went downhill.
It's funny that some people prefer graphs, and others, like me, prefer equations.
There are many functions that look like those graphs. The important thing is the square root.