From Polynomials to Sums of Squares describes a journey through the
foothills of algebra and number theory based around the central
theme of factorization. The book begins by providing basic
knowledge of rational polynomials, then gradually introduces other
integral domains, and eventually arrives at sums of squares of
integers. The text is complemented with illustrations that feature
specific examples. Other than familiarity with complex numbers and
some elementary number theory, very little mathematical
prerequisites are needed. The accompanying disk enables readers to
explore the subject further by removing the tedium of doing
calculations by hand. Throughout the text there are practical
activities involving the computer.
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