The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae

Description

Publisher: Springer
Language: English
ISBN: 3540204415
Paperback: 578 pages
Data: Feb 2007
Format: PDF
Description: The cultural historian Theodore Merz called it “that great book with seven seals,” the mathematician Leopold Kronecker, “the book of all books” : already one century after their publication, C.F. Gauss’s Disquisitiones Arithmeticae (1801) had acquired an almost mythical reputation. It had served throughout the XIX th century and beyond as an ideal of exposition in matters of notation, problems and methods; as a model of organisation and theory building; and of course as a source of mathematical inspiration. Various readings of the Disquisitiones Arithmeticae have left their mark on developments as different as Galois’s theory of algebraic equations, Lucas’s primality tests, and Dedekind’s theory of ideals.

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