Sunday, February 15, 2009

 

Problem sheet 3 corrections

The last entry in the spherical coordinate transformation should be "rcos(theta)" instead of "cos(theta)". Thanks to the alert student who pointed this typo out to me.

Furthermore, in question 3 it should have been mentioned that F is continuous, and in question 4 the formula to be derived was missing a derivative: "(F-1)' " instead of "F-1".

In question 8 I clarified/reformulated the meaning of "F-G" in the question and its answer.

I have made the corresponding corrections to the problem sheet.

ps: I also added a "t>=0" to the last part of question 3 on Sheet 2.

# posted by Jeroen Lamb @ 1:39 PM
Comments:
I was hoping you could recommend some books to read to better understand the second half of chapter 3 (ie. Inv FT, Imp FT, contractions etc) as your 3 recommended book don't seem to have them in.

Perhaps you could give us the name of the book you have photocopied for the solution to question 9 on problem sheet 3, or other similar books.

Thanks in advance

Mike
# posted by Blogger Unknown : February 16, 2009 at 8:16 PM
 
The copy for the anwer of Q9 sheet 3 is from
Boris Hasselblatt and Anatole Katok. A first course in Dynamics. 2003.
The library has some copies of this.
The implicit and inverse function theorems are discussed in almost any decent textbook on (real) analysis.
# posted by Blogger Jeroen Lamb : February 18, 2009 at 9:33 PM
 
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