2
$\begingroup$

I read the construction of real numbers by Dedekind cuts today in a book(it was quite incomplete).I was wondering if someone could please point me to a source or a book containing the construction of the entire natural numbers,the rationals, the real numbers and the various operations like addition, subtraction, exponentiation and all that. I may not read it whole at one go but I certainly wish to see how it is done.In addition, a few "exercises" or something of that sort will not do me harm.

Thanks!

  • 1
    for dedekind, http://books.google.com/books?id=PywPAAAAIAAJ&printsec=frontcover&dq=dedekind+real+numbers&source=bl&ots=M79IBx6ofg&sig=Pb1jsc2Xraq5XVJNvqnWy0gjSko&hl=en&sa=X&ei=2w1RUJC-MunFyAHi4IHYDQ&ved=0CC0Q6AEwAA#v=onepage&q=dedekind%20real%20numbers&f=false2012-09-12

2 Answers 2

4

Goldrei's "Classic Set Theory" is a great introduction! The first few chapters are dedicated to this.

  • 0
    I don't know why these answers have not yet received upvotes.But this is precisely what I was looking for.Thanks for sure.2012-09-12
0

Here you will find a book that contains the construction. It is an appendix to chapter 1.