000			03328cam a2200385Mi 4500
001			ocn949754095
003			OCoLC
005			20240726105018.0
008			981110t19981968nju eob 000 0 eng d
040			_aIDEBK _beng _erda _cIDEBK _dNT _dJSTOR _dOCLCF _dYDXCP _dEBLCP
020			_a9781400882809 _q((electronic)l(electronic)ctronic)
050	0	4	_aQA247 _b.A444 1998
049			_aMAIN
100	1		_aWeyl, Hermann, _d1885-1955. _e1
245	1	0	_aAlgebraic theory of numbersby Hermann Weyl.
260			_aPrinceton, N. J. : _bPrinceton University Press, _c(c)1968.
300			_a1 online resource (ix, 223 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_adata file _2rda
490	1		_aPrinceton landmarks in mathematics and physics
504			_a2
505	0	0	_aCover; Title; Copyright; CONTENTS; Chapter I. ALGEBRAIC FIELDS; 1. Finite field. Norm, trace, discriminant; 2. Tower. Analysis of the field equation; 3. Simple extension; 4. Relative trace, norm and discriminant; 5. Removal of the hypothesis of separability; 6. The Galois case; 7. Consecutive extensions replaced by a single one; 8. Strictly finite field; 9. Adjunction of Indeterminate; Chapter II. THEORY OF DIVISIBILITY (KRONECKER, DEDEKIND); 1. Integers; 2. Our disbelief in Ideals; 3. The axioms; 4. Consequences; 5. Integrity in ϰ(x,y,..) over k(x,y,..); 6. Kronecker's theory
505	0	0	_a7. The fundamental lemma8. A batch of simple propositions; 9. Relative Norm of a Divisor; 10. The Dedekind case; 11. Kronecker and Dedekind; Chapter III. LOCAL PRIMADIC ANALYSIS (KUMMER, HENSEL); 1. Quadratic number field; 2. Kummer's theory: decomposition; 3. Kummer's theory: discriminant; 4. Prime cyclotomic fields; 5. Program; 6. p-adic and y-adic numbers; 7. ϰ(y) and ϰ (J); 8. Discriminant; 9. Relative discriminant; 10. Hilbert's theory of Galois fields. Artin symbol; 11. Cyclotomlc field and quadratic law of reciprocity; 12. General cyclotomic fields; Chapter IV. ALGEBRAIC NUMBER FIELD
505	0	0	_a1. Lattices (old-fashioned)2. Field basis and basis of an ideal; 3. Norm and number of residues; 4. Euler's function and Fermat's theorem; 5. A new viewpoint; 6. Minkowski's geometric principle; 7. A fundamental inequality and its consequences: existence of ramification ideals, classes of ideals; 8. The Dirichlet-Minkowski-Hasse-Chevalley construction of units; 9. The structure of the group of units; 10. Finite Abelian groups and their characters; 11. Asymptotic equi-distribution of ideals over their classes; 12. ζ-function and related Dirichlet series
505	0	0	_a13. Prime numbers in residue classes modulo m14. ζ-function of quadratic fields, and their application; 15. Norm residues in quadratic fields; 16. General norm residue symbol and the theory of class fields; Amendments
530			_a2 _ub
650		0	_aAlgebraic number theory.
655		1	_aElectronic Books.
856	4	0	_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1204558&site=eds-live&custid=s3260518 _zClick to access digital title | log in using your CIU ID number and my.ciu.edu password
942			_cOB _D _eEB _hQA _m1998, c1968 _QOL _R _x _8NFIC _2LOC
994			_a92 _bNT
999			_c85969 _d85969
902			_a1 _bCynthia Snell _c1 _dCynthia Snell