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Books Best for Mathematics & Algebra Self-Study with Proofs?
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[QUOTE="mathwonk, post: 5952582, member: 13785"] all lang's books are famous for having been written quickly. I do not recommend most of them. On the other hand since he was so smart and knew so much, occasionally he makes a very succinct and useful remark, but as books go, his are among the least carefully written, which does not always mean least well written. Still I did like his book Analysis I, at least in places, as stated above, and his Complex analysis, but since complex analysis is such a beautiful well understood subject, almost all books on that topic tend to be excellent. as i have said many times before, basic mathematics, i.e. algebra and geometry, are best treated in the classics by Euclid and Euler, i.e. Euclid's Elements, and Euler's Elements of Algebra. These are both available free online, but I recommend the Green Lion press version of Euclid. I own the Cambridge library collection paperback of Euler. but it's a little pricy for a student. I was a college professor and taught graduate students about theory of equations, including cubic formulas, and galois theory, etc, and even wroote my own graduate algebra book, but after i read euler's lucid explanation of the cubic formula i understood it so well i could teach it to (very bright) 10 year olds. It is really embarrassing to spend decades studying advanced math, think you understand it, and then find out after reading a real master that you did not understand diddly. So always try to read someone who actually understands what you are trying to learn. You can't go wrong with Euclid and Euler. [URL]https://www.amazon.com/dp/1888009195/?tag=pfamazon01-20[/URL] [URL]https://www.amazon.com/dp/150890118X/?tag=pfamazon01-20[/URL] [URL]https://www.amazon.com/dp/110800296X/?tag=pfamazon01-20[/URL]here is the book I was helped by as as a senior in high school, already possessing a good grasp of high school algebra: I had always heard about "converses" and "negations" in geometry, class but never knew ezactly what that meant until reading the excellent and clear explanation of propositional calculus, i.e. informal logic, in A&O. It stood me in good stead the rest of my life in math courses involving proofs. [URL='https://www.amazon.com/dp/B001CD9834/?tag=pfamazon01-20']https://www.amazon.com/Principles-Mathematics-C-Oakley-Allendoerfer/dp/B001CD9834/ref=sr_1_1?s=books&ie=UTF8&qid=1520046478&sr=1-1&keywords=principles+of+mathematics,+allendoerfer#customerReviews[/URL] [/QUOTE]
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