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Algebraic Number Theory by Nicolas Mascot, Aurel Page is a nonfiction available to read on EtoBox.

What is Algebraic Number Theory about?

Resultants......Page 7 Algebraic elements, algebraic extensions......Page 9 The degree of an extension......Page 13 The trace, norm, and characteristic polynomial......Page 15 Primitive elements......Page 17 Extension of complex embeddings......Page 19 Traces and norms vs. complex embeddings......Page 20 Monic polynomials......Page 23 The ring of integers......Page 24 Linear algebra over Z......Page 25 Orders......Page 28 Discriminants, part I......Page 29 Denominators vs. the index......Page 33 Discriminants, part II......Page 34 The case of quadratic fields......Page 38 The case of cyclotomic fields......Page 39 Ideals and factorisation......Page 41 Reminder on ideals......Page 42 Integral closure......Page 44 Dedekind domains......Page 46 Factorisation theory in Dedekind domains......Page 48 Decomposition of primes......Page 51 Practical factorisation......Page 53 Ramification......Page 58 The case of quadratic fields......Page 61 The case of cyclotomic fields......Page 63 UFDs. vs. PID. vs. Dedekind domains......Page 66 Ideal inversion......Page 67 The class group......Page 68 Finiteness of the class group: the Minkowski bound......Page 70 Sums of two squares......Page 72 Anoth

Who reads Algebraic Number Theory?

Author

Nicolas Mascot, Aurel Page

Published

2017

Language

EN

Category

nonfiction

Subjects

Mathematics, Number Theory, Stem