Re:A Software Engineer’s Adventures in Learning Mathematics
by bkcooper on Wednesday February 04, 2015 @10:31AM
(#8997332)
If you liked Axler, you might check out Abbott's Understanding Analysis, also in the Springer UTM series. I think it covers somewhat less than Rudin (e.g. looking at baby Rudin's contents, I'm pretty sure Abbott doesn't touch Lebesgue integration) but it's a pretty great introductory analysis book IMO.
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Re:A Software Engineer’s Adventures in Learning Mathematics
by pspencer on Wednesday February 04, 2015 @12:43PM
(#8998259)
As a math graduate student, I second the choice for Abbott's "Understanding Calculus". It's a wonderful beginning book for analysis. Walter Rudin's "Principle's of Mathematical Analysis" is an amazing book but it's difficult to start with.
For a quick intro to Lebesgue integration you can read the beginning of Rudin's "Real and Complex Analysis" or Halsey Royden's "Real Analysis".
I haven't read Axler's book. I liked Hoffman and Kunze's "Linear Algebra"