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Reviews (4)
Mar 14, 2022
Great reference but not for self-study for beginners
Great reference, but not for novice as the explanation is too abstract for beginners, but not impossible to get through if you're willing to put in extra, long work (e.g., at least an hour to get through 1 theorem) by rereading the theorems and working through the examples he used in his proofs of the theorems. That being said, if you put in the grueling work and struggle, Mr. Knapp explanations help you to think like a mathematician. For example, he proved why Unique Factoring of Polynomial theorem was true for 6 pages using examples, propositions, and properties; factoring polynomials is common in algebra, but his explanation make you understand why and how it's true in such detail that it's hard not to see relationships among numbers. I left without a doubt that the theorem is true.
Sep 03, 2019
Might work with medium/long hair
Good: It's sturdy and wide enough for thick hair.
Needs Improvement: I have short & uneven hair, just an inch below shoulder, so lots of strands (hair) jutting out from the bun. The front and back looks like a bun, but the shorter strands on the side couldn't be contained by the curler.
Jan 17, 2022
One of the best math proofs out there!
By far the best math proofs book I've read. If I've known this book for high school geometry, I've would've actually understood the proofs and be able to analyze why they're true, rather than blindly memorizing them. (I'm a comp sci & science major). The author writes with such lucid explanations & examples to show how proofs are constructed, which is not only useful for those wanting to understand proofs but crucial for areas of computer science and those (planning) to conduct research in hard science. Now when I look at math problems, instead of seeing them as weird, foreign symbols and logic I have to put hours to decipher & items to memorize, I know how to systematically break them into their appropriate structures & logic to get why it's true/false. If you want to learn to write your own proofs, you'll be glad to know he teaches that too. It's thicker than other proofs books, but especially handy to fill in explanations when dealing with intricacies of complex proofs. Anyways, great book!