Gray, J. J.; Tilling, Laura Johann Heinrich Lambert, mathematician and scientist, 1728 – 1777. (English) Zbl 0376.01009 Hist. Math. 5, 13-41 (1978). Summary: means of an algebra of signs are centered to his work in formal logic. Section III is concerned with experimental physics, especially with his researches in optics, in the theory of errors and his use of graphs, in magnetism, and in the science of heat and meteorology. The next section deals with his work on astronomy and cartography. The fifth section deals with mathematics. In these four sections the authors try to give a survey of his complete work with a view to highlighting its inter-connections and its inconsistencies. But much remains to be done, for example Lampert’s manuscripts are still not completely edited. The appendix refutes some statements of N. I. Styazhkin who according to the two authors’ words may have done these mistakes, because he attempted to make Lambert more modern than he is. Reviewer: Eberhard Knobloch (Berlin) Page: −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents MSC: 01A70 Biographies, obituaries, personalia, bibliographies 01A50 History of mathematics in the 18th century Biographic References: Lambert, Johann Heinrich × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Beltrami, E., Saggio di Interpretazione Della Geometrica non-euclidea, G. d. Mat., 6, 248-312, 1868; Beltrami, E., Opere Mat., I, 374-405, 1868 [2] Bochenski, IM, A History of formal Logic, 1970, Chelsea, translated by Ivo Thomas · Zbl 0235.02004 [3] Bonola, R., La Geometria non-Euclidea, 1909, Dover, translated as Non-Euclidean Geometry by H. S. Carslaw 1912, 1955 [4] Bopp, K., Johann Heinrich Lambert’s Monatsbuch, Abh. K. Bayerischen Akad. d. Wiss. Math.-phys. Klasse XXVII, Band 6, 1915 [5] Bouguer, P., Essai d’Optique sur la Gradation de la Lumière, 1729, Paris [6] Bouguer, P., Traité d’Optique sur la Gradation de la Lumière, 1760, Paris; for an English translation by W. E. K. Middleton; Bouguer’s Optical Treatise on the Gradation of Light, 1961, Toronto [7] Euler, L., Comm. Acad. Sci. Petrop., 98-137, 1744; Euler, L., Opera, 14, 1, 187-215, 1744 [8] Euler, L., Acta. Acad. Sci. Petrop., I, 107-132, 1777; Euler, L., Acta. Acad. Sci. Petrop., I, 133-142, 1777; Euler, L., Opera, 28, 1, 248-275, 1777; Euler, L., Opera, 28, 1, 276-287, 1777 [9] Ishiguro, H., Leibniz’s Philosophy of Logic and Language, 1972, Duckworth [10] Jacquel, R., Vers les Oeuvres complètes du savant et philosophie J.-H. Lambert: Velléités et réalisations depuis deux siècles, Revue d’Histoire des sciences et de leurs applications, T.XXII, No. 4, 285-302, 1969, Oct.–Dec. · Zbl 0194.30202 [11] Jacquel, R., Annexe bibliographique au tirage à part de l’article sur Lambert du Bulletin du Musée Historique de Mulhouse de 1973 [12] Klügel, GS, Conatuum praecipuorum Theoriam parallelarum demonstrandi recensio, quam publico examini submittent A. G. Kaestner et auctor respondens G. S. Klügel Göttingen, 1763 [13] Lambert, JH, Freye Perspektive, 1759, 1774 [14] Lambert, JH, Les Propriétés remarquables de la route de la lumière, 1759 [15] Lambert, JH, Photometria, Sive de Mensura et Gradibus colorum et umbrae Augsburg, 1760, for a German translation see Ostwald’s Klassiker der Exacten Wissenschaften nos. 31–33 (Leipzig 1892), but many of the relevant passages are there omitted · JFM 24.0016.03 [16] Lambert, JH, Cosmologische Briefe über die Einrichtung des Weltbaues, 1761, Augsburg [17] Lambert, JH, Neues Organon oder Gedanken über die Erforschung und Bezeichung des Wahren dessen Unterscheidung vom Irrthum und Schein, 1764, 2 vols. Leipzig · Zbl 0925.01002 [18] Lambert, JH, Beyträge zum gebrauche der Mathematik und deren Anwendung, Vol. I, 1765, 3 vols. Berlin; Lambert, JH, Beyträge zum gebrauche der Mathematik und deren Anwendung, Vol. II, 1770; Lambert, JH, Beyträge zum gebrauche der Mathematik und deren Anwendung, Vol. III, 1772, Vol. I includes “Ammerkungen und Zusätze zur practischen Geometrie”, 1–313 and “Theorie der zuverlässigkeit der Beobachtungen und Versuche”, 424–488 [19] Lambert, JH, Analyse de Quelques Expériences Faiter sur l’Aiman, 22-49, (pub. 1768) [20] Lambert, JH, Observations Trigonométriques, 1768, Berlin (pub. 1770) [21] Lambert, JH, Anlage zur Architectonic, oder Theorie des Einfachen und des Ersten in der philosophischen und Mathematischen, 1771, Riga: Riga Erkenntnig [22] Lambert, JH, Pyrometrie, oder vom Maasse des Feuers und der Wärme, 1779, Berlin [23] Lambert, JH, Briefwechsel, 1782, (5 vols) [24] Lambert, JH, Logische und philosophische Abhandlungen [25] Lambert, JH, Theorie der Parallellinien, Leipzig [26] Lambert, JH, J. H. Lamberti Opera Mathematica, (Zurich) [27] Lambert, JH, Notes and Comments on the Composition of Terrestrial and Celestial maps, Michigan Geographical Publications number 8, 1972, a translation by Waldo R. Tobler [28] Manning, KR, The Emergence of the Weierstrassian Approach to Complex Analysis, A. H. E. S., 14, No. 4, 297-383, 1975 · Zbl 0338.01009 [29] Mascheroni, L., La geometria del compasso, 1797 [30] Mohr, G., Euclides Danicus, 1672, edited 1928 with a foreword by J. Hjelmslev · JFM 54.0028.02 [31] Parkinson, GHR, Leibniz’ Logical Papers, 1966, (Oxford) [32] Peters, WS, Lamberts Konzeption einer Geometrie auf einer imaginären, Kugel, Kantstudien, 53, 51-67, 1961, 1961–1962 [33] Poncelet, JV, Traité des propriétés projectives des figures, I, 181-184, 1812; Poncelet, JV, Traité des propriétés projectives des figures, I, 413-414, 1812 [34] Saccheri, G., Euclides Vindicatus, 1733, edited with translation by G. B. Halsted 1920 (Open Court) [35] Scriba, CJ, Lambert, D.S.B., Vol. VII, 595-600, 1973 [36] Sheynin, OB, Newton and the Classical Theory of Probability, AHES, Vol. 7, No. 3, 217-243, 1971 · Zbl 0236.01004 [37] Sheynin, OB, J. H. Lambert’s Work on Probability, AHES, 7, 3, 244-256, 1971 · Zbl 0263.01017 [38] Steck, M., Bibliographia Lambertiana, 1970, (Hildesheim) · Zbl 0211.00401 [39] Struik, DJ, A Source Book in Mathematics, 1200–1800, 369-374, The extract from Lambert occupies · Zbl 0205.29202 [40] Styazhkin, NI, History of Mathematical Logic from Leibniz to Peano, 1969, M.I.T. Press · Zbl 0196.00602 [41] Tilling, Laura, The interpretation of Observational Errors in the 18th and early 19th centuries, June 1973 [42] Tilling, Laura, Early Experimental Graphs, B.J.H.S., 8, No. 30, 193-213, 1975 This reference list is based on information provided by the publisher or from digital mathematics libraries. 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