Re: Recommended Books?

On Dec 6, 6:47 pm, rossb013 <rossb...@xxxxxxx> wrote:
Hi,

I have a month off of school for winter break and I'm hoping to get some books to read. I'd like to know what people would recommend, since I've asked before for recommendations and I ended up with some of the best written math books I've ever read.

I'm looking for all sorts of topics, and I realize I won't be able to read and work through everything in just a month, but I would love to get all the recommendations I can and then I can have them and read them as I get the time.

Specifically I would like an introductory book to topology (I struggled with it in analysis), good analysis books (I've read baby Rudin, Lay, and Bressoud), a more advanced review of differential equations and/or linear algebra, maybe a good geometry book (I haven't done any since 9th grade!), and maybe some stuff on metric spaces and measure theory. Although I would love recommendations outside of that also!

Thank you so much!


For topology I recommend Munkres. I'm not sure whether that should be
considered an introductory book, but it does starts from the scratch,
covers point-set topology and some of the algrebraic topology (the
second part of the book). Munkres' style is 'user-friendly', easy to
undestand. He's still teaching at MIT, so probably you can find the
additional documentation on ocw.mit.edu.
.

Relevant Pages

  • Re: Recommended Books?
    ... I'm looking for all sorts of topics, and I realize I won't be able to read and work through everything in just a month, but I would love to get all the recommendations I can and then I can have them and read them as I get the time. ... Specifically I would like an introductory book to topology, ... Introduction to Topology and Modern Analysis ...
    (sci.math)
  • Re: Higher dimensional measure theory?
    ... integration extends to dimensions of 2 or more. ... topology, it seems. ... not really how it works - people use all sorts of different ... covers the open set? ...
    (sci.math)