Franz Halter-Koch

Quadratic Irrationals (eBook, PDF)

An Introduction to Classical Number Theory

• Format: PDF

Produktbeschreibung

Research on number theory has produced a wealth of interesting and beautiful results yet topics are strewn throughout the literature, the notation is far from being standardized, and a unifying approach to the different aspects is lacking. Covering both classical and recent results, this book unifies the theory of continued fractions, quadratic orders, binary quadratic forms, and class groups based on the concept of a quadratic irrational. It highlights the connection between Gauss's theory of binary forms and the arithmetic of quadratic orders.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 431
• Erscheinungstermin: 17. Juni 2013
• Englisch
• ISBN-13: 9781466591844
• Artikelnr.: 40068380

Autorenporträt

Franz Halter-Koch retired as a professor of mathematics from the University of Graz in 2004. A member of the Austrian Academy of Science, Dr. Halter-Koch is the author/coauthor of roughly 150 scientific articles, author of Ideal Systems: An Introduction to Multiplicative Ideal Theory, and coauthor of Non-Unique Factorizations: Algebraic, Combinatorial and Analytic Theory. His research focuses on elementary and algebraic number theory, non-unique factorizations, and abstract multiplicative ideal theory.

Inhaltsangabe

Quadratic Irrationals. Continued Fractions. Quadratic Residues and Gauss
Sums. L-Series and Dirichlet's Prime Number Theorem. Quadratic Orders.
Binary Quadratic Forms. Cubic and Biquadratic Residues. Class Groups.
Appendices. Bibliography. Index.