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From polynomials to sums of squares Book

From polynomials to sums of squares
From polynomials to sums of squares, 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 domai, From polynomials to sums of squares has a rating of 3 stars
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From polynomials to sums of squares, 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 domai, From polynomials to sums of squares
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  • From polynomials to sums of squares
  • Written by author Terence Hugh Jackson
  • Published by Bristol ; Institute of Physics Pub., c1995., 1995/11/09
  • 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 domai
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Book Categories

Authors

Preface
Software copyright and site licence
1 Polynomials in one variable 1
2 Using polynomials to make new number fields 37
3 Quadratic integers in general and Gaussian integers in particular 60
4 Arithmetic in quadratic domains 84
5 Composite rational integers and sums of squares 108
App. 1 Abstract perspectives 138
App. 2 The product of primitive polynomials 155
App. 3 The Mobius function and cyclotomic polynomials 157
App. 4 Rouches theorem 159
App. 5 Dirichlet's theorem and Pell's equation 162
App. 6 Quadratic reciprocity 174
References 181
Index 182


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From polynomials to sums of squares, 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 domai, From polynomials to sums of squares

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From polynomials to sums of squares, 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 domai, From polynomials to sums of squares

From polynomials to sums of squares

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From polynomials to sums of squares, 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 domai, From polynomials to sums of squares

From polynomials to sums of squares

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