2010, ISBN: 3642083064
[EAN: 9783642083068], Neubuch, [PU: Springer Berlin Heidelberg Dez 2010], PRIME; PRIMENUMBER; ALGEBRA; ALGEBRAICNUMBERFIELDS; ALGEBRAISCHEZAHLKÖRPER; NUMBERTHEORY, This item is printed on… Altro …
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2010, ISBN: 9783642083068
Springer Berlin Heidelberg, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1998, 388 Seiten, Publiziert: 2010-02-19T00:00:01Z, Produktgruppe: Buch, 1.2 kg, Ingenieurwissensc… Altro …
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2010, ISBN: 3642083064
[EAN: 9783642083068], Neubuch, [PU: Springer Berlin Heidelberg Dez 2010], PRIME; PRIMENUMBER; ALGEBRA; ALGEBRAICNUMBERFIELDS; ALGEBRAISCHEZAHLKÖRPER; NUMBERTHEORY, This item is printed on… Altro …
2010, ISBN: 9783642083068
edizione con copertina flessibile
[ED: Kartoniert / Broschiert], [PU: Springer Berlin Heidelberg], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book was tranlated i… Altro …
2010
ISBN: 9783642083068
Springer Berlin Heidelberg, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1998, 388 Seiten, Publiziert: 2010-02-19T00:00:01Z, Produktgruppe: Buch, 1.2 kg, Ingenieurwissensc… Altro …
2010, ISBN: 3642083064
edizione con copertina rigida
Softcover reprint of hardcover 1st ed. 1998 Kartoniert / Broschiert Geschichte der Mathematik, Prime; Primenumber; Algebra; algebraicnumberfields; algebraischeZahlkörper; numbertheory, … Altro …
2010, ISBN: 9783642083068
edizione con copertina flessibile
Buch, Softcover, Softcover reprint of hardcover 1st ed. 1998, [PU: Springer Berlin], Springer Berlin, 2010
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Informazioni dettagliate del libro - The Theory of Algebraic Number Fields
EAN (ISBN-13): 9783642083068
ISBN (ISBN-10): 3642083064
Copertina rigida
Copertina flessibile
Anno di pubblicazione: 2010
Editore: Springer Berlin
388 Pagine
Peso: 0,585 kg
Lingua: eng/Englisch
Libro nella banca dati dal 2011-03-28T01:39:37+02:00 (Zurich)
Pagina di dettaglio ultima modifica in 2023-11-23T21:15:18+01:00 (Zurich)
ISBN/EAN: 3642083064
ISBN - Stili di scrittura alternativi:
3-642-08306-4, 978-3-642-08306-8
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : david hilbert, schoof, lemmermeyer franz, adamson joy, minkowski, constance reid, david hurwitz
Titolo del libro: know your number, the fields, algebraic number fields, algebraic number theory, algebraic number field, david hilbert
Dati dell'editore
Autore: David Hilbert
Titolo: The Theory of Algebraic Number Fields
Editore: Springer; Springer Berlin
351 Pagine
Anno di pubblicazione: 2010-12-09
Berlin; Heidelberg; DE
Stampato / Fatto in
Traduttore: I.T. Adamson
Peso: 0,593 kg
Lingua: Inglese
128,39 € (DE)
131,99 € (AT)
142,00 CHF (CH)
POD
XXXVI, 351 p.
BC; Number Theory; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Zahlentheorie; Verstehen; Prime; Prime number; algebra; algebraic number fields; algebraische Zahlkörper; number theory; History of Mathematical Sciences; Number Theory; History of Mathematical Sciences; Geschichte der Mathematik; BB
1. Algebraic Numbers and Number Fields.- 2. Ideals of Number Fields.- 3. Congruences with Respect to Ideals.- 4. The Discriminant of a Field and its Divisors.- 5. Extension Fields.- 6. Units of a Field.- 7. Ideal Classes of a Field.- 8. Reducible Forms of a Field.- 9. Orders in a Field.- 10. Prime Ideals of a Galois Number Field and its Subfields.- 11. The Differents and Discriminants of a Galois Number Field and its Subfields.- 12. Connexion Between the Arithmetic and Algebraic Properties of a Galois Number Field.- 13. Composition of Number Fields.- 14. The Prime Ideals of Degree 1 and the Class Concept.- 15. Cyclic Extension Fields of Prime Degree.- 16. Factorisation of Numbers in Quadratic Fields.- 17. Genera in Quadratic Fields and Their Character Sets.- 18. Existence of Genera in Quadratic Fields.- 19. Determination of the Number of Ideal Classes of a Quadratic Field.- 20. Orders and Modules of Quadratic Fields.- 21. The Roots of Unity with Prime Number Exponent l and the Cyclotomic Field They Generate.- 22. The Roots of Unity for a Composite Exponent m and the Cyclotomic Field They Generate.- 23. Cyclotomic Fields as Abelian Fields.- 24. The Root Numbers of the Cyclotomic Field of the l-th Roots of Unity.- 25. The Reciprocity Law for l-th Power Residues Between a Rational Number and a Number in the Field of l-th Roots of Unity.- 26. Determination of the Number of Ideal Classes in the Cyclotomic Field of the m-th Roots of Unity.- 27. Applications of the Theory of Cyclotomic Fields to Quadratic Fields.- 28. Factorisation of the Numbers of the Cyclotomic Field in a Kummer Field.- 29. Norm Residues and Non-residues of a Kummer Field.- 30. Existence of Infinitely Many Prime Ideals with Prescribed Power Characters in a Kummer Field.- 31. Regular Cyclotomic Fields.- 32. Ambig Ideal Classes and Genera in Regular Kummer Fields.- 33. The l-th Power Reciprocity Law in Regular Cyclotomic Fields.- 34. The Number of Genera in a Regular Kummer Field.- 35. New Foundation of the Theory of Regular Kummer Fields.- 36. The Diophantine Equation ?m + ?m + ?m = 0.- References.- List of Theorems and Lemmas.Altri libri che potrebbero essere simili a questo:
Ultimo libro simile:
9783540627791 The Theory of Algebraic Number Fields (Hilbert, David; Adamson, I. T. (Übersetzung))
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