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A Classical Introduction to Modern Number Theory / Kenneth Ireland and Michael I. Rosen

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Newyork : Springer, ©1990Edition: 2nd edDescription: vii,385pISBN:
  • 9788181281548
Subject(s): DDC classification:
  • 512.7  IreC2
Summary: 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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Item type Current library Collection Call number Status Barcode
Reference Reference Indian Institute of Technology Tirupati General Stacks Gifted Books 512.7 IreC2 (GB0080) (Browse shelf(Opens below)) Not for loan GB0080

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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