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.
About the Author
Kenneth R. Davidson, University of Waterloo, ON, Canada.
Matthew Satriano, University of Waterloo, ON, Canada.
Book Information
ISBN 9781470473327
Author Kenneth R. Davidson
Format Paperback
Page Count 185
Imprint American Mathematical Society
Publisher American Mathematical Society
Weight(grams) 181g
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.
About the Author
Kenneth R. Davidson, University of Waterloo, ON, Canada.
Matthew Satriano, University of Waterloo, ON, Canada.
Book Information
ISBN 9781470473327
Author Kenneth R. Davidson
Format Paperback
Page Count 185
Imprint American Mathematical Society
Publisher American Mathematical Society
Weight(grams) 181g
