The Resource A classical introduction to modern number theory, Kenneth Ireland, Michael Rosen

A classical introduction to modern number theory, Kenneth Ireland, Michael Rosen

Label
A classical introduction to modern number theory
Title
A classical introduction to modern number theory
Statement of responsibility
Kenneth Ireland, Michael Rosen
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Ireland, Kenneth F
Index
index present
LC call number
QA241
LC item number
.I667 1990
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1938-
http://library.link/vocab/relatedWorkOrContributorName
Rosen, Michael I.
http://library.link/vocab/subjectName
  • Number theory
  • Nombres, Théorie des
  • Number theory
  • Nombres, théorie des
  • Zahlentheorie
Label
A classical introduction to modern number theory, Kenneth Ireland, Michael Rosen
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface to the second edition -- Preface -- Unique fractorization -- Applications of unique fractorization -- Congruence -- Structure uf U (Z/nZ) -- Quadratic reciprocity -- Quadratic Gauss sums -- Finite fields -- Gauss and Jacobi sums -- Cubic and biquadratic reciprocity -- Equations over finite fields -- Zeta function -- Algebraic number theory -- Quadratic and cyclotomic fields -- Stickelberger relation and the Eisenstein reciprocity law -- Bernoulli numbers -- Dirichlet L-functions -- Diophantine equations -- Eliptic curves -- Mordell-Weil theorem -- New progress in arithmetic geometry -- Selected hints for the exercises -- Bibliography -- Index
Dimensions
24 cm.
Edition
2nd ed.
Extent
xiv, 389 pages
Isbn
9780387973296
Lccn
90009848
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)21560442
  • (OCoLC)ocm21560442
Label
A classical introduction to modern number theory, Kenneth Ireland, Michael Rosen
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface to the second edition -- Preface -- Unique fractorization -- Applications of unique fractorization -- Congruence -- Structure uf U (Z/nZ) -- Quadratic reciprocity -- Quadratic Gauss sums -- Finite fields -- Gauss and Jacobi sums -- Cubic and biquadratic reciprocity -- Equations over finite fields -- Zeta function -- Algebraic number theory -- Quadratic and cyclotomic fields -- Stickelberger relation and the Eisenstein reciprocity law -- Bernoulli numbers -- Dirichlet L-functions -- Diophantine equations -- Eliptic curves -- Mordell-Weil theorem -- New progress in arithmetic geometry -- Selected hints for the exercises -- Bibliography -- Index
Dimensions
24 cm.
Edition
2nd ed.
Extent
xiv, 389 pages
Isbn
9780387973296
Lccn
90009848
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)21560442
  • (OCoLC)ocm21560442

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