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1.

図書

図書
[by] Robert B. Ash
出版情報: New York : Wiley, [1970]  ix, 337 p. ; 23 cm
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2.

図書

図書
Robert B. Ash
出版情報: New York : Academic Press, 1972  xiii, 284 p. ; 24 cm
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3.

図書

図書
Robert B. Ash
出版情報: New York ; London : Academic Press, c1972  xv, 476 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; 11
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4.

図書

図書
Robert Ash
出版情報: New York : Interscience Publishers, a division of John Wiley, c1965  xi, 339 p. ; 24 cm
シリーズ名: Interscience tracts in pure and applied mathematics ; no. 19
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5.

図書

図書
ロバート・アッシュ, キャロル・アッシュ共著 ; 福島甫 [ほか] 訳
出版情報: 東京 : 森北出版, 1988.11  ix, 479p ; 22cm
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6.

図書

図書
Robert B. Ash, Melvin F. Gardner
出版情報: New York : Academic Press, 1975  viii, 321 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; vol. 27
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7.

図書

図書
Robert B. Ash
出版情報: Mineola, N.Y. : Dover Publications, 2010, c2003  viii, 112 p. ; 23 cm
シリーズ名: Dover books on mathematics
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目次情報: 続きを見る
Introduction / Chapter 1:
Integral Extensions / 1.1:
Localization / 1.2:
Norms, Traces and Discriminants / Chapter 2:
Norms and traces / 2.1:
The Basic Setup for Algebraic Number Theory / 2.2:
The Discriminant / 2.3:
Dedekind Domains / Chapter 3:
The Definition and Some Basic Properties / 3.1:
Fractional Ideals / 3.2:
Unique Factorization of Ideals / 3.3:
Some Arithmetic in Dedekind Domains / 3.4:
Factorization of Prime Ideals in Extensions / Chapter 4:
Lifting of Prime Ideals / 4.1:
Norms of ideals / 4.2:
A Practical Factorization Theorem / 4.3:
The Ideal Class Group / Chapter 5:
Lattices / 5.1:
A Volume Calculation / 5.2:
The Canonical Embedding / 5.3:
The Dirichlet Unit Theorem / Chapter 6:
Preliminary Results / 6.1:
Statement and Proof of Dirichlet's Unit Theorem / 6.2:
Units in Quadratic Fields / 6.3:
Cyclotomic Extensions / Chapter 7:
Some Preliminary Calculations / 7.1:
An Integral Basis of a Cyclotomic Field / 7.2:
Factorization of Prime Ideals in Galois Extensions / Chapter 8:
Decomposition and Inertia Groups / 8.1:
The Frobenius Automorphism / 8.2:
Applications / 8.3:
Local Fields / Chapter 9:
Absolute Values and Discrete Valuations / 9.1:
Absolute Values on the Rationals / 9.2:
Artin-Whaples Approximation Theorem / 9.3:
Completions / 9.4:
Hensel's Lemma / 9.5:
Appendices
Quadratic Reciproicty Via Gauss Sums / A:
Extension of Absolute Values / B:
The Different / C:
Solutions to Problems
Index
Introduction / Chapter 1:
Integral Extensions / 1.1:
Localization / 1.2:
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