A Conversational Introduction to Algebraic Number Theory: Arithmetic Beyond (Student Mathematical Library) (Student Mathematical Library, 84)

Paul Pollack

ISBN 10: 1470436531 / ISBN 13: 9781470436537

Editore: American Mathematical Society, 2017

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Codice articolo S_358609818

Dati bibliografici

• Titolo: A Conversational Introduction to Algebraic Number Theory: Arithmetic Beyond (Student Mathematical Library) (Student Mathematical Library, 84)
• Editore: American Mathematical Society
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 1470436531
• ISBN 13: 9781470436537
• Rilegatura: paperback
• Condizione: Good

Descrizione articolo

Riassunto

Pollack introduces algebraic number theory to readers who are familiar with linear algebra, commutative ring theory, Galois theory, a little abelian groups theory, and elementary number theory up to and including the law of quadratic reciprocity. Typically, senior and beginning graduate mathematics majors should find the text approachable, he says. A special feature is that he develops the entire theory first in the simple setting of quadratic fields, which includes full proofs of the three standard "core" theorems: the fundamental theorem of ideal theory, the finiteness of the class group, and the unit theorem. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)