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- Thread starter DawsonH
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Foundations of Mathematical Analysis - Pfaffenberger/Johnsonbaugh

Mathematical Analysis - Apostol

Principles of Mathamatical Analysis - Rudin

Foundations of Mathametical Analysis is published by Dover so it will be cheaper than the others. It also has something like 750 problems, and is more 'user friendly' than the others also (imho).

The best book on complex analysis for a physicist would have to be the one by Brown/Churchill. That book rocks

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I'm currently reading Tristan Needham's Visual Complex Analysis and it's just outstanding. I've seen some reviews say "This is great, but use it as a secondary book, not as a primary one"; I think that mostly means that you might not have the rigor to ace your Complex Analysis final if you get all your complex analysis from this book. But it's totally self-contained, very clear, and beautiful. I bet there's no better way to really get a feeling for what the subject is all about.

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mathwonk

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rudin is notoriously difficult to learn from but is the favorite of professional analysts. i do not know if any of them learned from it, but they all seem to like to teach from it.

mattuck is a terrific teacher, and i think his book is a lot more elementary than rudin.

i think i have never seen a bad complex analysis book. my favorite is by cartan.

there was one i think by greenleaf i liked a lot.

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but dieuodene lang and cartan all suffer ias they use regulated functions. they failed to acknowledge henstock integral.

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