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matqkks
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Where can I purchase old mathematics textbooks on Advanced level (16-18 year olds) or undergraduate mathematics? I am ideally looking for books from the 1920’s to 1980’s.
I got some good ones from the Waterstones web site. They are reasonably priced but shipping adds on, depends where you are.Where can I purchase old mathematics textbooks on Advanced level (16-18 year olds) or undergraduate mathematics? I am ideally looking for books from the 1920’s to 1980’s.
I forgot about the library sales, a lot of chaff in there but worth a go before spending money on shipping for E bay, Amazon and Waterstones. Depends if you like spending time in libraries, old book shops and charity (thrift) shops.Where can I purchase old mathematics textbooks on Advanced level (16-18 year olds) or undergraduate mathematics? I am ideally looking for books from the 1920’s to 1980’s.
Yes, it is a very nice and easy going book. Two critiques I would say about the book are:These comments are meant for someone who wants to compare the approach to geometry in the book of Moise and Downs to that in the original book of Euclid, or the modern book of Hartshorne, expounding and completing Euclid's approach.
I liked the suggestion above of books by Moise because in my experience his writing on advanced topics, such as in his more advanced geometry book, is exceptionally accurate mathematically, although not easy. In reference to the more elementary geometry book suggested above by Moise and Downs, (paradoxically NOT the one without the word "elementary" in the title), I would remark that, according to reviews, it apparently follows the approach of Birkhoff, rather than Euclid, in that it assumes the real numbers as a more fundamental concept than geometric lines, and defines geometric concepts in terms of the real numbers. In my personal opinion, this is somewhat backwards, not only historically but logically and intuitively, since the real numbers are much more sophisticated than are basic geometric concepts, so it is to me unlikely that the student of the Birkhoff approach will actually have a good understanding of them in advance.
Nonetheless, this approach can "work" just because many students think they know what real numbers are, and taking them for granted does make many geometric proofs easier. Thus one is making the arguments easier by assuming a great deal more content up front. I prefer Euclid's approach myself, since I think it makes one more able to understand how the concept of real numbers arose out of geometry historically, and not vice versa. (The deepest property of real numbers is their "completeness" which corresponds to the geometric property that every separation of a line into two "sides" is caused by the removal of a unique point. The real numbers version, that every non empty bounded set of reals has a least upper bound is, to me at least, much more difficult, and not understood by essentially any students. This is not fully needed in Euclidean plane geometry, only a much weaker assumption, that lines and circles which look as if they intersect, actually do so. For this reason, Birkhoff geometry covers essentially only one of the infinite family of Archimedean geometries covered by Euclid's axioms, although it is the one needed by calculus students. Birkhoff also often assumes a rather sophisticated "similarity" principle. Finally, the Birkhoff approach does not work at all for non Archimedean geometry, while Euclid's does, suitably understood.)
Having said this, the Birkhoff approach is logically valid, it just assumes more sophisticated concepts to begin with, but it can be made to work well in class, and I would imagine that Moise is an excellent choice for an expositor of it. Further, since the Birkhoff approach is often found in modern texts for high schoolers, it seems well to learn it from an authoritative source like Moise. (Although I have not read the actual book by Moise and Downs, I respect the former's reputation.)
Usually easily found at library used-book sales. Prices are often excellently low.Where can I purchase old mathematics textbooks on Advanced level (16-18 year olds) or undergraduate mathematics? I am ideally looking for books from the 1920’s to 1980’s.