Number Theory IV / Encyclopaedia of Mathematical Sciences Bd.44 (PDF)
Transcendental Numbers
(Sprache: Englisch)
This book is a survey of the most important directions of research in transcendental number theory. The central topics in this theory include proofs of irrationality and transcendence of various numbers, especially those that arise as the values of special...
Leider schon ausverkauft
eBook (pdf)
149.79 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenloser tolino webreader
Produktdetails
Produktinformationen zu „Number Theory IV / Encyclopaedia of Mathematical Sciences Bd.44 (PDF)“
This book is a survey of the most important directions of research in transcendental number theory. The central topics in this theory include proofs of irrationality and transcendence of various numbers, especially those that arise as the values of special functions. Questions of this sort go back to ancient times. An example is the old problem of squaring the circle, which Lindemann showed to be impossible in 1882, when he proved that $Öpi$ is a transcendental number. Euler's conjecture that the logarithm of an algebraic number to an algebraic base is transcendental was included in Hilbert's famous list of open problems; this conjecture was proved by Gel'fond and Schneider in 1934. A more recent result was ApÖ'ery's surprising proof of the irrationality of $Özeta(3)$ in 1979. The quantitative aspects of the theory have important applications to the study of Diophantine equations and other areas of number theory. For a reader interested in different branches of number theory, this monograph provides both an overview of the central ideas and techniques of transcendental number theory, and also a guide to the most important results.
Bibliographische Angaben
- 2013, 1998, 345 Seiten, Englisch
- Herausgegeben: A. N. Parshin, I. R. Shafarevich
- Übersetzer: N. Koblitz
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3662036444
- ISBN-13: 9783662036440
- Erscheinungsdatum: 09.03.2013
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Größe: 29 MB
- Ohne Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
Kommentar zu "Number Theory IV / Encyclopaedia of Mathematical Sciences Bd.44"
0 Gebrauchte Artikel zu „Number Theory IV / Encyclopaedia of Mathematical Sciences Bd.44“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Number Theory IV / Encyclopaedia of Mathematical Sciences Bd.44".
Kommentar verfassen