a course conventionally required of business students, in which the curriculum brings together a certain hodge-podge of topics, including some basic probability theory, some linear programming, some theory of matrices and determinants, and sometimes an abbreviated account of calculus.
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Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, and coding theory.
Any two finite fields with the same number of elements are isomorphic (that is, their addition tables are essentially the same, and their multiplication tables are essentially the same).
Finite fields also find applications in coding theory: many codes are constructed as subspaces of vector spaces over finite fields.
FiniteMathematics and Its Applications, Eighth Edition by Larry Joel Goldstein, David I. Schneider, Martha J. Siegel, T. Graedel (Prentice Hall) This work is the eighth edition of our text for the traditional finitemathematics course taught to first- and second-year college students, especially those majoring in business and the social and biological sciences.
This is not a fundamental mathematics book, nor is it intended to serve a textbook for a specific course, but rather as a reference for students in chemistry and physics at all university levels.
The mathematical and biological background required is kept to a minimum so that the topics are accessible to students and scientists in biology, mathematics, and engineering.
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