
Integer and Polynomial Algebra
American Mathematical Society (Publisher)
Published on 2. January 2024
Book
Paperback/Softback
185 pages
978-1-4704-7332-7 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
181 gr
ISBN-13
978-1-4704-7332-7 (9781470473327)
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Schweitzer Classification
Persons
Kenneth R. Davidson, University of Waterloo, ON, Canada.
Matthew Satriano, University of Waterloo, ON, Canada.
Matthew Satriano, University of Waterloo, ON, Canada.
Content
The integers
Modular arithmetic
Diophantine equations and quadratic number domains
Codes and factoring
Real and complex numbers
The ring of polynomials
Finite fields
Bibliography
Index
Modular arithmetic
Diophantine equations and quadratic number domains
Codes and factoring
Real and complex numbers
The ring of polynomials
Finite fields
Bibliography
Index