Integer and Polynomial Algebra

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Mathematics - Algebra
Integer and Polynomial Algebra

Integer and Polynomial Algebra

Name: Integer and Polynomial Algebra
ISBN: 9781470475840

Kenneth R. Davidson, Matthew Satriano

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This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic number fields, the RSA encryption scheme, and finite fields.

In addition to introducing students to the rigorous foundations of mathematical proofs, the authors cover several specialized topics, giving proofs of the Fundamental Theorem of Algebra, the transcendentality of e, and Quadratic Reciprocity Law. The book is aimed at incoming undergraduate students with a strong passion for mathematics.

Catégories:

Mathematics - Algebra

Année:

2023

Langue:

english

Pages:

200

ISBN 10:

1470475847

ISBN 13:

9781470475840