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Reciprocity Laws: From Euler to Eisenstein
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Reciprocity Laws: From Euler to Eisenstein Hardcover - 2000 - 2000th Edition

by Franz Lemmermeyer


From the publisher

This book covers the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will be of interest to readers interested in the history of reciprocity laws or in the current research in this area.

First line

In this first chapter we will present the fathers of the quadratic reciprocity law.

From the rear cover

This book is about the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will particularly appeal to readers interested in the history of reciprocity laws or in the current research in this area.

Details

  • Title Reciprocity Laws: From Euler to Eisenstein
  • Author Franz Lemmermeyer
  • Binding Hardcover
  • Edition number 2000th
  • Edition 2000
  • Pages 492
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2000-05-06
  • ISBN 9783540669579 / 3540669574
  • Weight 1.71 lbs (0.78 kg)
  • Dimensions 9.5 x 6.5 x 1.2 in (24.13 x 16.51 x 3.05 cm)
  • Library of Congress Catalog Number 00026905
  • Dewey Decimal Code 512.74

Media reviews

Citations

  • Choice, 03/01/2001, Page 1305
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Reciprocity Laws: From Euler to Eisenstein (Springer Monographs in Mathematics)
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Reciprocity Laws: From Euler to Eisenstein (Springer Monographs in Mathematics)

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