A01=T.H Jackson
abstract algebra
Algebraic Conjugate
Algebraic Integers
Algebraic Numbers
algebraic structures
Author_T.H Jackson
Category=PBF
Category=PBH
Composite Integers
computational number theory exercises
Congruences Modulo
eq_adult
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euclid's Algorithm
Euclidean Domain
Euclid’s Algorithm
finite field applications
Gaussian Integer
Gaussian Primes
Greatest Common Divisors
Integral Domain
Irreducible Divisor
Irreducible Polynomials
Legendre Symbol
Minimal Polynomial
Mod 12
Multiplicative Norm
number theory foundations
Odd Prime
polynomial factorization methods
Quadratic Domain
Quadratic Integer
Quadratic Residue
Quadratic Residue Modulo
Rational Integers
Repeated Roots
Splitting Field
undergraduate mathematics textbook
Product details
- ISBN 9780750303293
- Weight: 249g
- Dimensions: 148 x 210mm
- Publication Date: 01 Jan 1995
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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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.
