Excerpt from Sechs Beweise des Fundamentaltheorems ber Quadratische Reste Beispiel. Fur den Modul 13 findet man als. Kleinste Reste der Quadrate von 0, 1, 2, 3, 6 die Zahlen 0, 1, 4, 9, 3, 12, 10; die weiteren Reste wiederholen sich in um gekehrter Folge 10, 12; 3 u. S. W. Jede Zahl, die keinem dieser Reste und daher einer der Zahlen 2, 5, 6, 7, 8, 11 congruent ist, kann keinem Quadrate congruent sein. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Sechs Beweise des Fundamentaltheorems Über Quadratische Reste (Classic Reprint)

Science & Math

Carl Friedrich Gauß

Mathematics

Forgotten Books

General Investigations of Curved Surfaces of 1827 and 1825

James Caddall Morehead

Franklin Classics Trade Press

In this volume are included all of Gauss's number-theoretic works: his masterpiece, Disquisitiones Arithmeticae, published when Gauss was only 25 years old; several papers published during the ensuing 31 years; and papers taken from material found in Gauss's handwriting after his death. These papers include a fourth, fifth, and sixth proof of the Quadratic Reciprocity Law, researches on biquadratic residues, quadratic forms, and other topics. This reprint of the German translation from Latin of the second edition published in 1889 includes an extensive appendix and concludes with a commentary on the papers (with references, where appropriate, to the relevant pages of the Disquisitiones).

Untersuchungen Uber Hohere Arithmetik (German Edition)

American Mathematical Society

Die Intensitat Der Erdmagnetischen Kraft: Auf Absolutes Maass Zuruckgefuhrt (1894) (German Edition)

Literature & Fiction

Literary

Kessinger Publishing

In 1827 Gauss presented to the Royal Society of Göttingen his important paperon the theory of surfaces, which seventy-three years afterward the eminent Frenchgeometer, who has done more than any one else to propagate these principles,characterizes as one of Gauss’s chief titles to fame, and as still the most finishedand useful introduction to the study of infinitesimal geometry.∗ This memoir maybe called: General Investigations of Curved Surfaces, or the Paper of 1827, todistinguish it from the original draft written out in 1825, but not publisheduntil 1900. A list of the editions and translations of the Paper of 1827 follows.There are three editions in Latin, two translations into French, and two intoGerman. The paper was originally published in Latin under the title:Ia. Disquisitiones generales circa superficies curvasauctore Carolo Friderico Gauss.Societati regiæ oblatæ D. 8. Octob. 1827,and was printed in: Commentationes societatis regiæ scientiarum Gottingensisrecentiores, Commentationes classis mathematicæ. Tom. VI. (ad a. 1823–1827).Gottingæ, 1828, pages 99–146. This sixth volume is rare; so much so, indeed,that the British Museum Catalogue indicates that it is missing in that collection.

General Investigations Of Curved Surfaces Of 1827 And 1825

Independently published

An Unabridged Printing Of The Morehead And Hiltebeitel Translation, With Bibliography And An Introduction By H. D. Thompson, Professor Of Mathematics, Princeton University -

General Investigations Of Curved Surfaces - Unabridged

Watchmaker Publishing

Mathematisches Tagebuch 1796-1814.

Deutsch Harri GmbH

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