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Titlebook: Algebraic Theory of Quadratic Numbers; Mak Trifković Textbook 2013 Springer Science+Business Media New York 2013 ideal class group.number

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https://doi.org/10.1007/978-3-642-49270-9When we write . = 3. 141592., we really mean that . be approximated (the “…” part) by the rational number ..
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https://doi.org/10.1007/978-1-4612-0885-3In this final chapter we go back to the late-eighteenth-century roots of algebraic number theory. Its fathers, Lagrange, Legendre, and Gauss, had none of the algebraic machinery we have used.
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The Ideal Class Group and the Geometry of Numbers,It turns out that the group of fractional ideals . is not an interesting invariant of the quadratic field .: for different fields ., ., Exer. 5.1.7 shows that .. To get an object which does reflect the arithmetic of ., we consider a quotient of ..
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Continued Fractions,When we write . = 3. 141592., we really mean that . be approximated (the “…” part) by the rational number ..
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Algebraic Theory of Quadratic Numbers978-1-4614-7717-4Series ISSN 0172-5939 Series E-ISSN 2191-6675
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Textbook 2013experience with elements and ideals in quadratic number fields.  The reader is also asked to fill in the details of proofs and develop extra topics, like the theory of orders.  Prerequisites include elementary number theory and a basic familiarity with ring theory..
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