Warenkorb
€ 0,00 0 Buch dabei,
portofrei
p-adic Numbers als Buch
PORTO-
FREI

p-adic Numbers

An Introduction. 'Universitext'. 2nd ed. 1997. Corr. 3rd printing 2003. Book. Sprache: Englisch.
Buch (kartoniert)
Ihr 12%-Rabatt auf alle Spielwaren, Hörbücher, Filme, Musik u.v.m
 
12% Rabatt sichern mit Gutscheincode: SONNE12
 
There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad … weiterlesen
Dieses Buch ist auch verfügbar als:
Buch

42,99*

inkl. MwSt.
Portofrei
Sofort lieferbar
p-adic Numbers als Buch

Produktdetails

Titel: p-adic Numbers
Autor/en: Fernando Quadros Gouvea

ISBN: 3540629114
EAN: 9783540629115
An Introduction.
'Universitext'.
2nd ed. 1997. Corr. 3rd printing 2003.
Book.
Sprache: Englisch.
Springer Berlin Heidelberg

22. Mai 2003 - kartoniert - 312 Seiten

Beschreibung

There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers. From the reviews: "It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is." --THE MATHEMATICAL GAZETTE

Inhaltsverzeichnis

1 Apéritif.- 1 Apéritif.
- 1.1 Hensel's Analogy.
- 1.2 Solving Congruences Modulopn.
- 1.3 Other Examples.- 2 Foundations.
- 2.1 Absolute Values on a Field.
- 2.2 Basic Properties.
- 2.3 Topology.
- 2.4 Algebra.- 3 p-adic Numbers.
- 3.1 Absolute Values on ?.
- 3.2 Completions.
- 3.3 Exploring ?p.
- 3.4 Hensel's Lemma.
- 3.5 Local and Global.- 4 Elementary Analysis in?p.
- 4.1 Sequences and Series.
- 4.2 Functions, Continuity, Derivatives.
- 4.3 Power Series.
- 4.4 Functions Defined by Power Series.
- 4.5 Some Elementary Functions.
- 4.6 Interpolation.- 5 Vector Spaces and Field Extensions.
- 5.1 Normed Vector Spaces over Complete Valued Fields.
- 5.2 Finite-dimensional Normed Vector Spaces.
- 5.3 Finite Field Extensions.
- 5.4 Properties of Finite Extensions.
- 5.5 Analysis.
- 5.6 Example: Adjoining a p-th Root of Unity.
- 5.7 On to ?.- 6 Analysis in?p.
- 6.1 Almost Everything Extends.
- 6.2 Deeper Results on Polynomials and Power Series.
- 6.3 Entire Functions.
- 6.4 Newton Polygons.
- 6.5 Problems.- A Hints and Comments on the Problems.- B A Brief Glance at the Literature.- B.1 Texts.- B.2 Software.- B.3 Other Books.

Pressestimmen

From the reviews:

"This is a well-written introduction to the world of p-adic numbers. The reader is led into the rich structure of the fields Qp and Cp in a beautiful balance between analytic and algebraic aspects. The overall conclusion is simple: an extraordinarily nice manner to introduce the uninitiated to the subject. Not only giving the background necessary to pursue the matter, but doing it in such a way that a healthy 'hands-on experience'is generated in the process." Mededelingen van het wiskundig genootschap

"It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is." The Mathematical Gazette

From the reviews of the second edition:

"If I had to recommend one book on the subject to a student - or even to a fully grown mathematician who had never played with p-adic numbers before - it would still be this book. ... Gouv ê a has succeeded admirably in taking a topic that is not standard in the undergraduate mathematics curriculum and writing a book accessible to undergraduates that allows its reader to play with some intriguing mathematics and explore a topic which is both fun and important." (Darren Glass, The Mathematical Association of America, January, 2011)
Servicehotline
089 - 70 80 99 47

Mo. - Fr. 8.00 - 20.00 Uhr
Sa. 10.00 - 20.00 Uhr
Filialhotline
089 - 30 75 75 75

Mo. - Sa. 9.00 - 20.00 Uhr
Bleiben Sie in Kontakt:
Sicher & bequem bezahlen:
akzeptierte Zahlungsarten: Überweisung, offene Rechnung,
Visa, Master Card, American Express, Paypal
Zustellung durch:
* Alle Preise verstehen sich inkl. der gesetzlichen MwSt. Informationen über den Versand und anfallende Versandkosten finden Sie hier.
** Deutschsprachige eBooks und Bücher dürfen aufgrund der in Deutschland geltenden Buchpreisbindung und/oder Vorgaben von Verlagen nicht rabattiert werden. Soweit von uns deutschsprachige eBooks und Bücher günstiger angezeigt werden, wurde bei diesen kürzlich von den Verlagen der Preis gesenkt oder die Buchpreisbindung wurde für diese Titel inzwischen aufgehoben. Angaben zu Preisnachlässen beziehen sich auf den dargestellten Vergleichspreis.