Introductio in analysin infinitorum. Tomus primus . . . -secundus

Lausanne: M.-M. Bousquet, 1748. 1st Edition. Hardcover. Very Good. 1st Edition. Hardcover. 4to - over 9¾ - 12" tall. Two parts in one volume. 4to (243 x 197 mm). [4], xvi, 320; [2], 398, [2] pp. Title to each part printed in red and black and with engraved vignette, engraved frontispiece by Soubeyran after De la Monce, engraved folding portrait of dedicatee Jean Jacques Dortous de Mairan by Frequet after Tocquet (supplied), 40 engraved folding plates bound at end, folding letterpress table bound after p. 274 of part I, leaf of directions to binder, woodcut head-pieces and initials. Bound without initial blank leaf to second part. Signatures: [pi]² *-2*? A-2R?, [pi]2 (-[pi]1) A-3D4. Contemporary half calf over marbled boards, spine with 6 raised bands, ruled in gilt and with gilt-lettered morocco label (outer joints and corners repaired, some minor paper chipping along board edges, inner hinges reinforced). Crisp and clean internally, with ligt even age-toning, very minor occasional spotting, leaves Hh1-2 of part I with uneven trimming of top blank margin not affecting headlines, the portrait remargined, fore-margin of plates uncut with edges slightly dust-soiled, plate XVI misbound before plate XV, 4 plates with pale dampstaining, tiny hole in leaf Aa1 of part I affecting one letter each side. Provenance; illegible signature on front-pastedown. A very good, wide-margined and unmarked copy. ----

PMM 196, Norman 732. - FIRST EDITION. The first in a triology of works summarizing Euler's own and other discoveries in the mid-l8th 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). - Visit our website to see more images!