Quadratic Number Theory

An Invitation to Algebraic Methods in the Higher Arithmetic

J.L. Lehman (Autor)

Buch | Hardcover

394 Seiten

2019
American Mathematical Society (Verlag)
978-1-4704-4737-3 (ISBN)

Artikel merken

Offers an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some familiarity with the terminology of abstract algebra. With its exceptionally clear prose, hundreds of exercises, and historical motivation, this is a textbook for a second undergraduate course in number theory.

This text is an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some familiarity with the terminology of abstract algebra. With its exceptionally clear prose, hundreds of exercises, and historical motivation, it would make an excellent textbook for a second undergraduate course in number theory or a terrific choice for independent reading.

J. L. Lehman, University of Mary Washington, Fredericksburg, VA.

Introduction: A brief review of elementary number theory
Quadratic domains and ideals: Gaussian integers and sums of two squares
Quadratic domains
Ideals of quadratic domains
Quadratic forms and ideals: Quadratic forms
Correspondence between forms and ideals
Positive definite quadratic forms: Class groups of negative discriminant
Representations by positive definite forms
Class groups of quadratic subdomains
Indefinite quadratic forms: Continued fractions
Class groups of positive discriminant
Representations by indefinite forms
Quadratic recursive sequences: Properties of recursive sequences
Applications of quadratic recursive sequences
Concluding remarks
List of notation
Index

Erscheinungsdatum	21.03.2019
Reihe/Serie	Dolciani Mathematical Expositions
Verlagsort	Providence
Sprache	englisch
Maße	152 x 229 mm
Gewicht	655 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	1-4704-4737-1 / 1470447371
ISBN-13	978-1-4704-4737-3 / 9781470447373
Zustand	Neuware