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From Polynomials to Sums of Squares by Terence Jackson is a book available to read on EtoBox.

What is From Polynomials to Sums of Squares about?

The main purpose of this book is to show how some general algebraic ideas can be applied to give concrete results. For example, one of the main themes is that of factorization into primes and it is studied in detail in the context of polynomials and quadratic integers before being used to give results about which whole numbers can be expressed as sums or differences of squares. The overall approach is very practical and the text is carefully integrated with accompanying computer programs. The main text avoids the formal Lemma, Theorem, Proof style of mathematics and, while being entirely rigorous, is designed to be very readable. The ready-to-run computer programs, for IBM compatibles, are easy to use and are intended to help with the activities and examples in the text. The text and programs have been designed to reinforce each other although they can each be used separately. The book’s scope is that of a gentle computer-illustrated introduction to arithmetic in polynomial domains, quotient fields and among quadratic integers. It assumes little background but takes the reader to some of the beautiful results known about polynomials and sums of squares. In doing so, the main text k

Author

Terence Jackson

Publisher

CRC Press

Published

1995

Language

EN