What are some good preparatory books for Putnam? I don't mean practice or problem solving, but rather to learn the material that is tested on Putnam.

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I want to learn the math topics that are tested on Putnam Please recommend some good books that I can use for self study. for practice I have "Putnam and beyond". but I am a first yeat student and don't know a lot and professors are terible here so I have to rely on other material..Thanks

Edit: I know there is no single book that will cover everything. I am asking for books on different topics. I already have Calculus by Spivak and Analysis by Paugh but I need books that cover other topics. Thanks again.