Integer and Polynomial Algebra - Kenneth R. Davidson, Matthew Satriano

Integer and Polynomial Algebra

Buch | Softcover
185 Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-7332-7 (ISBN)
74,60 inkl. MwSt
Offers 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.
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.

Kenneth R. Davidson, University of Waterloo, ON, Canada. Matthew Satriano, University of Waterloo, ON, Canada.

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

Erscheinungsdatum
Reihe/Serie Mathematical World ; 31
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Gewicht 181 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-7332-1 / 1470473321
ISBN-13 978-1-4704-7332-7 / 9781470473327
Zustand Neuware
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