Algorithmische Zahlentheorie
Language: German
Published by Springer Fachmedien Wiesbaden, 2014
- Softcover
- New

Condition: New
£ 34.54
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Zahlentheorie mit dem ComputerDas Buch erklaert auf verstaendliche Art und Weise die Grundlagen der Zahlentheorie und die Anwendungsseite mithilfe von AlgorithmenFuer Studierende der Mathematik und Informatik, Lehrende an Hochschulen un.
Seller Inventory # 5123403
- Title
- Algorithmische Zahlentheorie
- Author
- Otto Forster
- Publisher
- Springer Fachmedien Wiesbaden
- Publication year
- 2014
- Condition
- New
- Binding
- Soft cover
- Language
- German
- ISBN 10
- 3658065397
- ISBN 13
- 9783658065393
- Edition
- 2nd Edition
- Dimensions
- 1.6 x 24 x 16.8
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
Das Buch gibt eine Einführung in die Zahlentheorie bis hin zu den quadratischen Zahlkörpern. Dabei wird durchgehend auch der algorithmische Aspekt betrachtet. So werden Existenzsätze (z.B. für die Darstellung von Primzahlen der Form p=4n+1 als Summe von zwei Quadratzahlen) stets durch Algorithmen zur Konstruktion ergänzt. Neben den klassischen Inhalten der elementaren Zahlentheorie werden in dem Buch u.a. auch die Multiplikation großer ganzer Zahlen mittels der schnellen Fourier-Transformation sowie Faktorisierung ganzer Zahlen mit elliptischen Kurven behandelt.
Für die Neuauflage wurden bekannt gewordene Fehler der ersten Auflage korrigiert und an mehreren Stellen Umarbeitungen vorgenommen. Außerdem gibt es neue Abschnitte über die Faktorisierung mit dem Quadratischen Sieb, den Diskreten Logarithmus (der in der Kryptographie eine große Rolle spielt) sowie über den deterministischen AKS-Primzahltest mit polynomialer Laufzeit. Damit der Leser die Algorithmen auf seinem Laptop oder PC auch konkret testen kann, werden die Algorithmen in einem pascalähnlichen Code für den vom Autor entwickelten Multipräzisions-Interpreter ARIBAS beschrieben, der zum kostenlosen Download zur Verfügung steht.
"Synopsis" may belong to another edition of this title.
About the Author
Prof. Dr. Otto Forster, Mathematisches Institut der Ludwig-Maximilians-Universität München, ist Autor der bekannten Lehrbücher Analysis 1-3.
"About the title" may belong to another edition of this title.
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