Comments: 1998. 2nd. Hardcover. Details the historical development of the Number Theory. This text provides coverage of significant results with comparatively elementary proofs. It features two chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of progress on the arithmetic of elliptic curves. Series: Graduate Texts in Mathematics. Num Pages: 394 pages, biography. BIC Classification: PBH. Category: (P) Professional & Vocational; (UP) Postgra
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Publication Date: 1991
Publisher: Springer Verlag
Ireland, Kenneth, Rosen, Michael I., Ewing, J. H.
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.Ireland, Kenneth is the author of 'Classical Introduction to Modern Number Theory', published 1991 under ISBN 9780387973296 and ISBN 038797329X.
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