Download or read book Integer and Polynomial Algebra written by Kenneth R. Davidson and published by American Mathematical Society. This book was released on 2023-10-30 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.