Integer and Polynomial Algebra

Davidson, Kenneth R.; Satriano, Matthew

ISBN 10: 1470473321 / ISBN 13: 9781470473327

Editore: American Mathematical Society, 2023

Codice articolo 47189734-n

Riassunto:

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.

Dati bibliografici

Titolo: Integer and Polynomial Algebra
Casa editrice: American Mathematical Society
Data di pubblicazione: 2023
Legatura: Brossura
Condizione: New