Books that every undergraduate should read

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Reference requests are common. However, I wish to make this a list of books which every undergraduate, majoring in mathematics should own or at least read. It may be a bit subjective.

Please include 1 book per answer. If there is any additional (or alternate) recommendation by you or some other person for the same topic please include it in the comments.

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A bit clichéd, but...

Principles of Mathematical Analysis by Walter Rudin