Question About Text: Example 4.1 on Page 35-6

[mpresic3]

I just purchased this text. It is less comprehensive than the book by Adler, Bazin, Schiffers, and is written at an (mostly) undergraduate level.
I have a problem with example 4.1 on page 35-6. What is meant by the down-arrow followed by the 1 in two equations 4.6-a, b? I am not sure this is the right place for this thread, but I thought I would post it here.

 

[haushofer]

Post the equations if you want a helpful reply.

 

[vanhees71]

It's just saying that in the matrix $({T^i}_j)=(\partial \bar{x}^i/\partial x^j)$ the index $i$ labels the rows.

BTW I like this textbook very much. It's using much of the material in the older book but it's less advanced, i.e., an introductory book at the undergrad rather the graduate level.

 

[mpresic3]

OK, now I get it.

I borrowed the older book from the library and I have been using it. The new book's approach is definitely similar to the older one. I was disappointed at the undergraduate level but, of course, it is more current than the older book. I also like Hartle for undergrad but this textbook treats the subject differently. It may be more instructive than Hartle's "physics first" approach. The problems seem well chosen, but I am still examining the book, and it has only been 5 days.

There is a pdf copy on the net of Adler, Bazin, ... but I detest reading textbooks on the computer. I even thought of printing myself a copy but I do not know if a bindery would bind it. Now with Amazon, it is better to buy an old copy.