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Reciprocity Laws de Franz Lemmermeyer

Reciprocity Laws: Springer Monographs in Mathematics

Autor Franz Lemmermeyer
en Limba Engleză Hardback – 6 mai 2000

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Specificații

ISBN-13: 9783540669579
ISBN-10: 3540669574
Pagini: 512
Ilustrații: XX, 492 p.
Dimensiuni: 160 x 241 x 33 mm
Greutate: 0.88 kg
Ediția:2000
Editura: Springer
Colecția Springer Monographs in Mathematics
Seria Springer Monographs in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1. The Genesis of Quadratic Reciprocity.- 2. Quadratic Number Fields.- 3. Cyclotomic Number Fields.- 4. Power Residues and Gauss Sums.- 5. Rational Reciprocity Laws.- 6. Quartic Reciprocity.- 7. Cubic Reciprocity.- 8. Eisenstein’s Analytic Proofs.- 9. Octic Reciprocity.- 10. Gauss’s Last Entry.- 11. Eisenstein Reciprocity.- A. Dramatis Personae.- B. Chronology of Proofs.- C. Some Open Problems.- References.- Author Index.

Textul de pe ultima copertă

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.

Notă biografică

Franz Lemmermeyer hat nach seiner Promotion in Heidelberg und seiner Habilitation in Bonn an Universitäten in den USA und in der Türkei gelehrt und unterrichtet seit 2007 Mathematik am Gymnasium St. Gertrudis in Ellwangen.