Graduate Texts in Mathematics

A Classical Introduction to Modern Number Theory

Authors: Ireland, Kenneth, Rosen, Michael

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eBook 59,99 €
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  • ISBN 978-1-4757-2103-4
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover 73,79 €
price for Spain (gross)
  • ISBN 978-0-387-97329-6
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  • Usually dispatched within 3 to 5 business days.
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Softcover 73,79 €
price for Spain (gross)
  • ISBN 978-1-4419-3094-1
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

Reviews

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)


Table of contents (20 chapters)

  • Unique Factorization

    Ireland, Kenneth (et al.)

    Pages 1-16

    Preview Buy Chapter 30,19 €
  • Applications of Unique Factorization

    Ireland, Kenneth (et al.)

    Pages 17-27

    Preview Buy Chapter 30,19 €
  • Congruence

    Ireland, Kenneth (et al.)

    Pages 28-38

    Preview Buy Chapter 30,19 €
  • The Structure of U(ℤ/nℤ)

    Ireland, Kenneth (et al.)

    Pages 39-49

    Preview Buy Chapter 30,19 €
  • Quadratic Reciprocity

    Ireland, Kenneth (et al.)

    Pages 50-65

    Preview Buy Chapter 30,19 €

Buy this book

eBook 59,99 €
price for Spain (gross)
  • ISBN 978-1-4757-2103-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 73,79 €
price for Spain (gross)
  • ISBN 978-0-387-97329-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 73,79 €
price for Spain (gross)
  • ISBN 978-1-4419-3094-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
A Classical Introduction to Modern Number Theory
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
84
Copyright
1990
Publisher
Springer-Verlag New York
Copyright Holder
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
Series ISSN
0072-5285
Edition Number
2
Number of Pages
XIV, 394
Topics