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1 point

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17th Jul 2015

I have a question on a book I bought awhile ago. This is the book http://www.amazon.com/Mathematical-Analysis-Undergraduate-Texts-Mathematics/dp/144192941X

My undergrad school used an easier book, since most people from my school weren't going onto grad school (I'm one of 3 in the last 5 years, and I'm just at a Masters only school), but it made the class really easy for me and a couple of friends. The book I linked is paced completely differently, and presents things differently as well. For example, Chapter 1 of that book was the first 3 chapters of the book I used. The book I used didn't introduce topology until the very end. Is it safe to assume the presentation in Pugh's book is the typical way an analysis class would work?

1 point

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6th Dec 2011

I think if I had to go back and relearn everything from scratch, I'd do:

Spivak's Calculus

Pugh's Analysis for gaining the mathematical intuition (http://www.amazon.com/Mathematical-Analysis-Undergraduate-Texts-Mathematics/dp/144192941X/ref=sr_1_1?ie=UTF8&qid=1323215782&sr=8-1)

Rudin's Analysis for harder exercises

1 point

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12th Dec 2012

I do actually,

Single-variable Analysis: My favourite (but *don't* read the multivariable part, definitely not as good as the rest of the book): Pugh, Real Mathematical Analysis. A strong second place: Spivak, Calculus

Multi-variable analysis: Can't beat (in my opinion) good ole' Munkres

For the Measure stuff (disclaimer, I haven't read this entirely), Heinz & Bauer

Unfortunately, I still haven't read in stochastics. But I do recommend reading some Algebra, by M.Artin before you tackle Arnold's Differential Equations. While you only *really* need to read Artin up until the point where he introduced Diff. Eqs himself, I'd recommend going back after Arnold and finishing 'er up!

1 point

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10th Oct 2010

I used Pugh, and it's a great book, imo. It's readable enough to learn from via self-study, I would think.

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