ENGLISH

From Polynomials to Sums of Squares

By Terence Hugh Jackson

Book information

Publisher
Institute of Physics Publishing (GB)
Year
1995
Google Books ID
yPjuAAAAMAAJ
Language
english
Format
DJVU
Filesize
2 MB (2066370 bytes)
Pages
204\199
DPI
600
Time added
2023-09-03 09:35:32

Description

This text and software describes a journey through the beautiful foothills of algebra and number theory based around the central theme of factorization. It begins with very basic knowledge of rational polynomials, gradually introduces other integral domains, and eventually arrives at sums of squares of integers. The treatment is made very concrete throughout the main text with illustrations using specific examples. More abstract material is confined to appendices. Other than familiarity with complex numbers and some elementary number theory, very little mathematical prerequisites are needed. The accompanying disk allows the reader to explore the subject further by removing the tedium of doing calculations by hand. Throughout the text there are practical activities mostly involving the computer.

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