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Quadratic Irrationals
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Quadratic Irrationals

An Introduction to Classical Number Theory

Quadratic Irrationals

An Introduction to Classical Number Theory

ByFranz Halter-Koch
Edition 1st Edition
First Published 2013
eBook Published 17 June 2013
Pub. location New York
Imprint Chapman and Hall/CRC
DOIhttps://doi.org/10.1201/b14968
Pages 431 pages
eBook ISBN 9781466591844
SubjectsMathematics & Statistics
Get Citation

Get Citation

Halter-Koch, F. (2013). Quadratic Irrationals. New York: Chapman and Hall/CRC, https://doi.org/10.1201/b14968
ABOUT THIS BOOK

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.T

TABLE OF CONTENTS
chapter 1|24 pages
Quadratic irrationals
View abstract
chapter 2|38 pages
Continued fractions
View abstract
chapter 3|36 pages
Quadratic residues and Gauss sums
View abstract
chapter 4|16 pages
L-series and Dirichlet’s prime number theorem
View abstract
chapter 5|76 pages
Quadratic orders
View abstract
chapter 6|66 pages
Binary quadratic forms
View abstract
chapter 7|64 pages
Cubic and biquadratic residues
View abstract
chapter 8|38 pages
Class groups
View abstract

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.T

TABLE OF CONTENTS
chapter 1|24 pages
Quadratic irrationals
View abstract
chapter 2|38 pages
Continued fractions
View abstract
chapter 3|36 pages
Quadratic residues and Gauss sums
View abstract
chapter 4|16 pages
L-series and Dirichlet’s prime number theorem
View abstract
chapter 5|76 pages
Quadratic orders
View abstract
chapter 6|66 pages
Binary quadratic forms
View abstract
chapter 7|64 pages
Cubic and biquadratic residues
View abstract
chapter 8|38 pages
Class groups
View abstract
CONTENTS
ABOUT THIS BOOK

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.T

TABLE OF CONTENTS
chapter 1|24 pages
Quadratic irrationals
View abstract
chapter 2|38 pages
Continued fractions
View abstract
chapter 3|36 pages
Quadratic residues and Gauss sums
View abstract
chapter 4|16 pages
L-series and Dirichlet’s prime number theorem
View abstract
chapter 5|76 pages
Quadratic orders
View abstract
chapter 6|66 pages
Binary quadratic forms
View abstract
chapter 7|64 pages
Cubic and biquadratic residues
View abstract
chapter 8|38 pages
Class groups
View abstract

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.T

TABLE OF CONTENTS
chapter 1|24 pages
Quadratic irrationals
View abstract
chapter 2|38 pages
Continued fractions
View abstract
chapter 3|36 pages
Quadratic residues and Gauss sums
View abstract
chapter 4|16 pages
L-series and Dirichlet’s prime number theorem
View abstract
chapter 5|76 pages
Quadratic orders
View abstract
chapter 6|66 pages
Binary quadratic forms
View abstract
chapter 7|64 pages
Cubic and biquadratic residues
View abstract
chapter 8|38 pages
Class groups
View abstract
ABOUT THIS BOOK
ABOUT THIS BOOK

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.T

TABLE OF CONTENTS
chapter 1|24 pages
Quadratic irrationals
View abstract
chapter 2|38 pages
Continued fractions
View abstract
chapter 3|36 pages
Quadratic residues and Gauss sums
View abstract
chapter 4|16 pages
L-series and Dirichlet’s prime number theorem
View abstract
chapter 5|76 pages
Quadratic orders
View abstract
chapter 6|66 pages
Binary quadratic forms
View abstract
chapter 7|64 pages
Cubic and biquadratic residues
View abstract
chapter 8|38 pages
Class groups
View abstract

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.T

TABLE OF CONTENTS
chapter 1|24 pages
Quadratic irrationals
View abstract
chapter 2|38 pages
Continued fractions
View abstract
chapter 3|36 pages
Quadratic residues and Gauss sums
View abstract
chapter 4|16 pages
L-series and Dirichlet’s prime number theorem
View abstract
chapter 5|76 pages
Quadratic orders
View abstract
chapter 6|66 pages
Binary quadratic forms
View abstract
chapter 7|64 pages
Cubic and biquadratic residues
View abstract
chapter 8|38 pages
Class groups
View abstract
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