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Artikel 111667-01

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111667-01  Cournot, (Antoine) Augustin.
Recherches sur les Principes Mathématiques de la Théorie des Richesses. Paris. Hachette. 1838. (21 x 13 cm). XI, 198 (2) S. Mit 1 gefalteten gestochenen Tafel. - Vorgebunden: Derselbe. Exposition de la Théorie des Chances et des Probabilités. (4) VIII, 448 S. Mit 1 gefalteten gestochenen Tafel. Halblederband der Zeit.
Ebendort, 1843.
Zu I: Erste Ausgabe seines seltenen Hauptwerkes. "In this work, he applied the theory of undetermined functions to economics. He thus made a fundamental contribution to mathematical economics, and introduced a concept of equilibrium, later rediscovered by the mathematician J.F. Nash, who was unaware of Cournot's earlier work, in the context of game theory. Nash was awarded a Nobel Prize in Economics. Although this work of Cournot marks a fundamental advance in the history of political economy and mathematical game theory, it had no success during Cournot's lifetime" (Encyclopedia of Mathematics). - Der französische Mathematiker und Wirtschaftstheoretiker Cournot (1801-1877) gilt als Mitbegründer der mathematischen Wirtschaftstheorie. Da sein vorliegendes Werk zu seiner Zeit weitgehend unbeachtet blieb, vereinfachte er es und veröffentlichte es 1863 und 1876 erneut. "With the publication in 1838 of his 'Recherches...' he was ... the true founder of mathematical economics" (DSB). - Sotheran 887 (scarce); Menger 568; DSB 3, 450; Kress C.4590. - Zu II: Erste Ausgabe seines Werkes über Wahrscheinlichkeit. "Cournot's major probabilistic and statistical work... (is) 'Exposition de la théorie des chances' of 1843. This attempted to present more than the rules and methods of the calculus of probabilities and of statistics. As B. Bru (Exposition, Introduction, p.IX), points out, it offers the first global exposition of the theory of 'the variability of chances'... But Cournot most especially proposed to submit the principles and methods of the calculus of probabilities and statistics to a critical analysis, aiming to establish precisely their significance and effective scope. Such an analysis demands making a distinction between mathematical and philosophical probabilities, and arriving at an understanding of the double meaning of mathematical probability, which is 'sometimes connected to a certain measurement of our knowledge and sometimes to a measurement of the possibility of events independent of the knowledge we may have' (p. 4). In statistics too, Cournot insisted on taking into account the extent to which statistical analysis was subject to a 'preliminary judgement' which depended on philosophical probabilities (p. 132)... As against the perception, still current in our day, of statistics as simply accumulation of data and its description, Cournot held that it constituted a genuine science, whose aim was to obtain 'numerical results relatively independent of the anomalies of chance, and which indicate the existence of regular causes whose action is combined with that of random causes' (p. 123). Cournot argued that the question was 'far less to accumulate numbers whose quantity lead to stable means, than to disentangle the chance-affected influences which are mixed together' (p. 138), the discipline of statistics thus offering a special instrument for bringing to light the mechanisms of reality" (Encyclopedia of Mathematics). - Sotheran 885; Goldsmith 33124. - Stellenweise gering gebräunt und vereinzelt leicht stockfleckig. Vorsätze etwas leimschattig. Einband leicht berieben und vorderes Gelenk sorgsam restauriert. Insgesamt schönes und gut erhaltenes Exemplar

15.500 €