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Author:   Oswald Baumgart ,  Franz Lemmermeyer
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2015 ed.
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   4.085kg
ISBN:  

9783319162829

ISBN 10:   3319162829
Pages:   172
Publication Date:   11 June 2015
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Language:   English

Table of Contents

Translator’s Preface.- Baumgart's Thesis.- Introduction.- First Part: 1. From Fermat to Legendre.- 2. Gauss's Proof by Mathematical Induction.- 3. Proof by Reduction.- 4. Eisenstein's Proof using Complex Analysis.- 5. Proofs using Results from Cyclotomy.- 6. Proofs based on the Theory of Quadratic Forms.- 7. The Supplementary Laws.- 8. Algorithms for Determining the Quadratic Character.- Second Part: 9. Gauss's Proof by Induction.- 10. Proofs by Reduction.- 11. Eisenstein's Proofs using Complex Analysis.- 12. Proofs using Results from Cyclotomy.- 13. Proofs based on the Theory of Quadratic Forms.- Final Comments.- Proofs of the Quadratic Reciprocity Law.- Author Index.- Subject Index.

Reviews

The editor has provided double service: he offers English-speakers access to Baumgart s account and provides a summary of what has happened since then. The result is a very useful book. (Fernando Q. Gouvea, MAA Reviews, June, 2015)

The editor has provided double service: he offers English-speakers access to Baumgart's account and provides a summary of what has happened since then. The result is a very useful book. (Fernando Q. Gouvea, MAA Reviews, June, 2015)

Author Information

Franz Lemmermeyer received his Ph.D. from Heidelberg University and has worked at Universities in California and Turkey. He is now teaching mathematics at the Gymnasium St. Gertrudis in Ellwangen, Germany.

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