Essai sur la théorie des nombres
著者
書誌事項
Essai sur la théorie des nombres
(Cambridge library collection, . Mathematical sciences)
Cambridge University Press, 2009
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注記
Reprint. Originally published: 2nd. ed. Paris : Courcier, 1808
Includes bibliographical references
Tables [34] p. at end
内容説明・目次
内容説明
Adrien-Marie Legendre (1752-1833), one of the great French mathematicians active in the Revolutionary period, made important contributions to number theory, statistics, mathematical analysis and algebra. He taught at the Ecole Militaire, where he was a colleague of Laplace, and made his name with a paper on the trajectory of projectiles which won a prize of the Berlin Academy in 1782, and brought him to the attention of Lagrange. In 1794 he published Elements de geometrie, which remained a textbook for over 100 years. The first edition of his Essai sur la theorie des nombres was published in 1798, and the much improved second edition, which is offered here, in 1808. In it Legendre had taken account of criticism by Gauss of the mathematical proofs in the first edition, though he was bitter at the manner in which his younger rival had claimed credit for some of his solutions.
目次
- Preface
- Introduction
- Part I. Exposition de diverses methodes et propositions relatives a l'analyse indeterminee
- Part II. Proprietes generales des nombres
- Part III. Theorie des nombres consideres comme decomposables en trois carres
- Part IV. Methodes et recherches diverses
- Part V. Usage de l'analyse indeterminee dans la resolution de l'equation
- Tables.
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