This text presents the basic information about finite dimensional extension fields of the rational numbers, algebraic number fields, and the rings of algebraic integers in them. The important theorems regarding the units of the ring of integers and the class group are proved and illustrated with many examples given in detail. The completion of an algebraic number field at a valuation is discussed in detail and then used to provide economical proofs of global results. The book contains many concrete examples illustrating the computation of class groups, class numbers, and Hilbert class fields. Exercises are provided to indicate applications of the general theory.
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"Gives a highly readable introduction into class field theory ... clearly written and may be recommended to everybody interested in the subject." -- Zentralblatt fr Mathematik
"Provides a quick and self-contained introduction to the subject using only limited mathematical tools, hence it is accessible to a broader audience than most of the other texts on this topic." -- Mathematical Reviews
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Hardcover. Condition: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less 1.25. Seller Inventory # G0123802504I5N00
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 12 JAN 9780123802507 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2505275
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Seller: Antiquariat Bookfarm, Löbnitz, Germany
Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 12 JAN 9780123802507 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2499580
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Condition: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,650grams, ISBN:0123802504. Seller Inventory # 8671336
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