I am currently a first year undergraduate but I still feel as if I cannot read many undergraduate level books. At the moment I am interested in reading some classics. I have already read Euler's Elements of Algebra which I thoroughly enjoyed and thought was much clearer than any algebra book I have read up to now. This surprised me, because I thought books by Euler would be difficult and contain convoluted proofs. In short, I am looking for books by Euler that are accessible to strong high school students. My thoughts are:

-Mechanica (I found an online english translation of this which I am liking so far, but I can't tell if I will need previous knowledge of mechanics/advanced calculus to fully understand the book, e.g. calculus of variations?)

-Analysis of the infinite 1 and 2

-His Differential calculus

-His integral calculus


  • $\begingroup$ An algebra book by Euler would be on very different material than a math book on algebra for university students today. Exactly what "algebra" books were you comparing with Euler's algebra tome when you said Euler was "much clearer"? $\endgroup$ – KCd Jan 3 '15 at 20:22

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