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Disquisitiones Arithmeticae

Author: Carl Friedrich Gauss
Publisher: Springer
ISBN: 1493975609
Size: 42.63 MB
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Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. .

The Shaping Of Arithmetic After C F Gauss S Disquisitiones Arithmeticae

Author: Catherine Goldstein
Publisher: Springer Science & Business Media
ISBN: 3540347208
Size: 69.75 MB
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Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.

Disquisitiones Arithmeticae

Author: Frederic P. Miller
Publisher: Alphascript Publishing
ISBN: 9786134317993
Size: 20.58 MB
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Disquisitiones Arithmeticae is a textbook of number theory written in Latin by Carl Friedrich Gauss in 1798 when Gauss was 21 and first published in 1801 when he was 24. In this book Gauss brings together results in number theory obtained by mathematicians such as Fermat, Euler, Lagrange and Legendre and adds important new results of his own. The Disquisitiones covers both elementary number theory and parts of the area of mathematics that we now call algebraic number theory. However, Gauss did not explicitly recognize the concept of a group, which is central to modern algebra, so he did not use this term. His own title for his subject was Higher Arithmetic. The Disquisitiones was the starting point for the work of other nineteenth century European mathematicians including Ernst Kummer, J. P. G. Lejeune Dirichlet and Richard Dedekind.

Disquisitiones Arithmeticae

ISBN: 9780300194258
Size: 23.69 MB
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The first translation into English of the standard work on the theory of numbers by one of the greatest masters of modern mathematical analysis, this classic was first published in 1801 in Latin. It has continued to be important to mathematicians as the source of the ideas from which number theory was developed and to students of the history of the electrical, astronomical, and engineering sciences, which were furthered by Gauss’ application of his mathematical principles to these fields. Father Clarke has achieved a sympathetic and faithful translation of this monumental work. The book is complete and unabridged, and a bibliography of the references cited by Gauss has been added by the translator."Whatever set of values is adopted,Gauss's Disquistiones Arithmeticae surely belongs among thegreatest mathematical treatises of all fields and periods. . . . The appearance of an English version of this classic is most welcome."—Asger Aaboe.

Meine Zahlen Meine Freunde

Author: Paulo Ribenboim
Publisher: Springer-Verlag
ISBN: 3540879579
Size: 73.86 MB
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Paulo Ribenboim behandelt Zahlen in dieser außergewöhnlichen Sammlung von Übersichtsartikeln wie seine persönlichen Freunde. In leichter und allgemein zugänglicher Sprache berichtet er über Primzahlen, Fibonacci-Zahlen (und das Nordpolarmeer!), die klassischen Arbeiten von Gauß über binäre quadratische Formen, Eulers berühmtes primzahlerzeugendes Polynom, irrationale und transzendente Zahlen. Nach dem großen Erfolg von „Die Welt der Primzahlen" ist dies das zweite Buch von Paulo Ribenboim, das in deutscher Sprache erscheint.

Untersuchungen Ber H Here Arithmetik

Author: Carl Friedrich Gauss
Publisher: American Mathematical Soc.
ISBN: 0821842137
Size: 50.14 MB
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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).

Introduction To Classical Mathematics I

Author: Helmut Koch
Publisher: Springer Science & Business Media
ISBN: 9780792312314
Size: 23.45 MB
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6Et moi, ..., si j'avait su comment en revenir, One service mathematics has rendered the human mce. It has put common sense back je n'y serais point alle.' Jules Verne where it belongs, on the topmost shelf nCllt to the dusty canister labelled 'discarded non­ sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered com­ puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.