The Shaping of Arithmetic After C.F. Gauss's Disquisitiones Arithmeticae 2007 Edition Contributor(s): Goldstein, Catherine (Editor), Schappacher, Norbert (Editor), Schwermer, Joachim (Editor) |
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ISBN: 3540204415 ISBN-13: 9783540204411 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: January 2007 Annotation: 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. The 18 authors - mathematicians, historians, philosophers - who have collaborated on this volume contribute in-depth studies on the various aspects of the bicentennial voyage of this mathematical text through history, and the way that the number theory we know today came into being. |
Additional Information |
BISAC Categories: - Mathematics | Number Theory - Mathematics | Algebra - General - Mathematics | History & Philosophy |
Dewey: 512 |
LCCN: 2006932291 |
Physical Information: 1.79" H x 6.52" W x 9.31" (2.46 lbs) 578 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |