Spaces of Orderings and Abstract Real Spectra (Lecture Notes

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Language: English

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Size: 13.27 MB

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The operation is associative: if a, b and c are members of S, then (a ∗ b) ∗ c is identical to a ∗ (b ∗ c). Math 100ABC is a rigorous introduction to abstract algebra in which concepts and proofs are emphasized more than techniques. At every step of the model, processes are applied to objects, until new objects are recognized. How mathematicians understand the use of parentheses (or their absence) is a matter of convention that just has to be learned by memory, but the consequences of that choice have to be understood logically as you practice doing different manipulations, such as adding fractions with different denominators.

Pages: 198

Publisher: Springer; 1996 edition (February 22, 2009)

ISBN: 3540617299

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