Graduate Texts in Mathematics

A Classical Introduction to Modern Number Theory

Autoren: Ireland, Kenneth, Rosen, Michael

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eBook 59,99 €
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  • ISBN 978-1-4757-2103-4
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Hardcover 75,92 €
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  • ISBN 978-0-387-97329-6
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  • Gewöhnlich versandfertig in 3-5 Werktagen.
Softcover 75,92 €
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  • ISBN 978-1-4419-3094-1
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  • Gewöhnlich versandfertig in 3-5 Werktagen.
Über dieses Lehrbuch

Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves.

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From the reviews of the second edition:

K. Ireland and M. Rosen

A Classical Introduction to Modern Number Theory

"Many mathematicians of this generation have reached the frontiers of research without having a good sense of the history of their subject. In number theory this historical ignorance is being alleviated by a number of fine recent books. This work stands among them as a unique and valuable contribution."

— MATHEMATICAL REVIEWS

"This is a great book, one that does exactly what it proposes to do, and does it well. For me, this is the go-to book whenever a student wants to do an advanced independent study project in number theory. … for a student who wants to get started on the subject and has taken a basic course on elementary number theory and the standard abstract algebra course, this is perfect." (Fernando Q. Gouvêa, MathDL, January, 2006)


Inhaltsverzeichnis (20 Kapitel)

Dieses Buch kaufen

eBook 59,99 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-4757-2103-4
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 75,92 €
Preis für Deutschland (Brutto)
  • ISBN 978-0-387-97329-6
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Softcover 75,92 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-4419-3094-1
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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Bibliografische Information

Bibliographic Information
Buchtitel
A Classical Introduction to Modern Number Theory
Autoren
Titel der Buchreihe
Graduate Texts in Mathematics
Buchreihen Band
84
Copyright
1990
Verlag
Springer-Verlag New York
Copyright Inhaber
Springer Science+Business Media New York
eBook ISBN
978-1-4757-2103-4
DOI
10.1007/978-1-4757-2103-4
Hardcover ISBN
978-0-387-97329-6
Softcover ISBN
978-1-4419-3094-1
Buchreihen ISSN
0072-5285
Auflage
2
Seitenzahl
XIV, 394
Themen