Question About Text: Example 4.1 on Page 35-6

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Discussion Overview

The discussion revolves around the interpretation of example 4.1 on pages 35-6 of a textbook, specifically focusing on the notation used in equations 4.6-a and 4.6-b. Participants explore the clarity and comprehensiveness of the textbook compared to other resources.

Discussion Character

  • Conceptual clarification, Debate/contested, Meta-discussion

Main Points Raised

  • One participant expresses confusion about the meaning of the down-arrow followed by the 1 in the equations, seeking clarification.
  • Another participant suggests posting the equations for a more helpful response.
  • A third participant explains that the index i in the matrix notation labels the rows, indicating a possible resolution to the initial confusion.
  • Participants discuss their opinions on the textbook's level of comprehensiveness compared to an older book by Adler, Bazin, and Schiffers, noting that the new book is more introductory.
  • One participant mentions their preference for Hartle's approach but acknowledges that the new textbook may be more instructive despite its undergraduate level.
  • There is a mention of the availability of a PDF copy of the older book and a personal preference against reading textbooks on a computer.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the clarity of the notation in the equations, as one participant remains confused while another provides an explanation. There is also a mix of opinions regarding the comprehensiveness and instructional quality of the new textbook compared to others.

Contextual Notes

Participants express varying levels of familiarity with the textbooks discussed, and there are references to personal preferences for learning materials, which may influence their perspectives.

mpresic3
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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.
 
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Post the equations if you want a helpful reply.
 
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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.
 
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.
 
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