London, South Kensington
9 June 2015
EULER, Leonhard (1707-1783). Introductio in analysin infinitorum. Lausanne: M.-M. Bousquet, 1748. 2 volumes, 4° (234 x 192mm). Titles printed in red and black with engraved title vignette, engraved frontispiece by Soubeyran after De la Monce, engraved portrait of dedicatee Jean Jacques Dortous de Mairan by Frequet after Tocquet and 40 engraved folding plates, folding table, woodcut head-pieces and initials. (Lacking initial blank in vol. II, some light browning and spotting.) Contemporary vellum (light soiling, covers faintly bowed). Provenance: extensive ink marginalia in an early hand.
FIRST EDITION. The first in a trilogy of works summarizing Euler's own and other's discoveries in the mid-18th century. 'In his Introduction to Mathematical Analysis Euler did for modern analysis what Euclid had done for ancient geometry. It contains an exposition of algebra, trigonometry and analytical geometry, both plane and solid, a definition of logarithms as exponents, and important contributions to the theory of equations. He evolved the modern exponential treatment of logarithms, including the fact that each number has an infinity of natural logarithms. In the early chapters there appears for the first time the definition of mathematical function, one of the fundamental concepts of modern mathematics. From Euler's time mathematics and physics tended to be treated algebraically, and many of his principles are still used in teaching mathematics' (PMM 196). Norman 732.
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