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Tools of the trade; an introduction to advanced mathematics.


Tools of the trade; an introduction to advanced mathematics.

Sally, Paul J.

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards to mathematicians.  


193 pages




In the transition from students to mathematicians Mathematicians by letter: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z See also
  • Requested mathematicians articles
  • (by country, etc.)
  • List of physicists
External links
, many find it difficult to move from equations to proofs. Here Sally (mathematics, U. of Chicago) gives students and their instructors an easier passage, working through an extraordinary number of exercises embedded Inserted into. See embedded system.  in the text. Designed to cover two semesters or three quarters, this starts with a review of sets, functions and other basic ideas and moves on to linear algebra linear algebra

Branch of algebra concerned with methods of solving systems of linear equations; more generally, the mathematics of linear transformations and vector spaces.
, the construction of the real and complex numbers, metric and Euclidean spaces, complete metric spaces (theory) complete metric space - A metric space in which every sequence that converges in itself has a limit. For example, the space of real numbers is complete by Dedekind's axiom, whereas the space of rational numbers is not - e.g. the sequence a[0]=1; a[n_+1]:=a[n]/2+1/a[n].  and the p-adic completion of Q. The exercises lend themselves well to classroom use, independent study, or inquiry based learning projects students can work and present to the class. Sally includes a set of challenge problems for the particularly motivated and/or gifted.

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Publication:SciTech Book News
Article Type:Book review
Date:Dec 1, 2008
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