A Classical introduction to modern number theory (Record no. 309)

000 -LEADER
fixed length control field 01943nam a2200193Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241004150334.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170804s2014 xx 000 0 und d
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA241
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Kenneth Ireland
245 ## - TITLE STATEMENT
Title A Classical introduction to modern number theory
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. Springer,
Date of publication, distribution, etc. [c1990]
Place of publication, distribution, etc. New York:
300 ## - Physical Description
Pages: 389 p.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chapter 1 Unique Factorization<br/>Chapter 2 Applications of Unique Factorization<br/>Chapter 3 Congruence<br/>Chapter 4 The structure of U<br/>Chapter 5 Quadratic Reciprocity<br/>Chapter 6 Quadratic Gauss Sums<br/>Chapter 7 Finite Fields<br/>Chapter 8 Gauss and Jacobi Sums<br/>Chapter 9 Cubic and biquadratic reciprocity<br/>Chapter 10 Equation over finite fields<br/>Chapter 11 The zeta function<br/>Chapter 12 Algebraic number theory<br/>Chapter 13 Quadatic and cyclotomic fields<br/>Chapter 14 The stickelberger realton and the eisenstein reciprocity law<br/>Chapter 15 Bernoulli numbers<br/>Chapter 16 Dirichlet L-fictions<br/>Chapter 17 Diophantine equation<br/>Chapter 18 Elliptic curves<br/>Chapter 19 The modell-weil theorem<br/>Chapter 20 New progress in arithmetic geometry
520 ## - SUMMARY, ETC.
Summary, etc. 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. ---Summary provided by publisher
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Michael Rosen
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 4 11/10/2016 QA241 00309 Book