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OverviewThis 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. Full Product DetailsAuthor: Kenneth R. Davidson , Matthew SatrianoPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 31 Weight: 0.181kg ISBN: 9781470473327ISBN 10: 1470473321 Pages: 185 Publication Date: 02 January 2024 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationKenneth R. Davidson, University of Waterloo, ON, Canada. Matthew Satriano, University of Waterloo, ON, Canada. Tab Content 6Author Website:Countries AvailableAll regions |