Integer and Polynomial Algebra

Kenneth R. Davidson, Matthew Satriano

ISBN 10: 1470473321 / ISBN 13: 9781470473327

Editore: American Mathematical Society, US, 2024

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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.

Codice articolo LU-9781470473327

Dati bibliografici

• Titolo: Integer and Polynomial Algebra
• Editore: American Mathematical Society, US
• Data di pubblicazione: 2024
• Lingua: Inglese
• ISBN 10: 1470473321
• ISBN 13: 9781470473327
• Rilegatura: Paperback
• Condizione: New
• Peso: 181 grammi

Descrizione articolo

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.