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I highly recommend Proofs: A Long-Form Mathematics Textbook by Jay Cummings. https://www.amazon.com/Proofs-Long-Form-Mathematics-Textbook-Math/dp/B08T8JCVF1 ht
by bmitc 4y ago
I highly recommend Proofs: A Long-Form Mathematics Textbook by Jay Cummings.
https://www.amazon.com/Proofs-Long-Form-Mathematics-Textbook-Math/dp/B08T8JCVF1 https://www.amazon.com/Proofs-Long-Form-Mathematics-Textbook...
I have not read this particularly entry from him, but I have his analysis book. He is a wonderful author, and I really like his "long-form" style that presents things in a much more illustrative (often literally) style.
There's also a book called Creative Mathematics by H.S. Wall. It is intended for high school students, and I think of all the books that claim this, this one probably hits the mark. He starts you off slow and steady. Instead of proving simple logical things, Wall basically walks you through calculus with differentiation and integration and up to differential geometry. One shouldn't be discouraged because the calculus presented is simplified. It is a very enjoyable book.