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

By:

Ireland, Kenneth

Contributor(s):

Rosen, Michael I

Material type:

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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Holdings
Item type	Current library	Collection	Call number	Status	Barcode
Reference	Indian Institute of Technology Tirupati General Stacks	Gifted Books	512.7 IreC2 (GB0080) (Browse shelf(Opens below))	Not for loan	GB0080

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Previous	511.23 MarN2 (GB0069) Number fields/	512 SilA2 (GB0068) The Arithmetic of Elliptic Curves /	512.5 FriL4 (GB0098) Linear Algebra [4th ed.] /	512.7 IreC2 (GB0080) A Classical Introduction to Modern Number Theory /	512.7 MazP (GB0074) Prime Numbers and the Riemann Hypothesis /	512.7 NatG (GB0082) Methods in Number Theory	512.73 IWAA (GB0100) Analytic Number Theory	Next

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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