By Leonhard Euler, Scott L Hecht
"This is a facsimile reprint of John Hewlett's 1840 translation of Euler's Algebra and Lagrange's Additions thereto. so much of Euler's contribution is hassle-free, not anything extra complex than fixing quartic equations, yet worthy having for you to savour his leisurely and powerful style---would that extra nice mathematicians wrote so good and to such pedagogic impact. in spite of the fact that, one 3rd of the ebook is his lucid remedy of questions in quantity thought, and it really is this fabric that drew Lagrange's reviews. right here for the 1st time are the rigorous remedies of endured fractions and "Pell's" equation, and of quadratic kinds. the combo of Euler's and Lagrange's checks, of experimental and theoretical learn in Weil's description, is justly celebrated by way of the editors of Euler's Opera omnia, who print the 2 jointly, and it's stable to determine this vintage again in print in English. each library with out a lot Euler should still not less than have this quantity. it truly is followed by means of an excerpt of Horner's memoir at the lifetime of Euler, and a eulogy by means of Truesdell, with an invaluable bibliography." -- MATHEMATICAL reports
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"This is a facsimile reprint of John Hewlett's 1840 translation of Euler's Algebra and Lagrange's Additions thereto. so much of Euler's contribution is easy, not anything extra complex than fixing quartic equations, yet worthy having so one can delight in his leisurely and powerful style---would that extra nice mathematicians wrote so good and to such pedagogic influence.
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Extra resources for Elements of Algebra
Neither was competent in more than a small part of the range of science enriched by EULER; both were younger than he by more than thirty years, and neither showed evidence of having studied EULER's early work in detail. Their necrologies of EULER are heavily weighted by hearsay and treat his youth as already legendary. The accounts of EULER's life and work in the general histories of mathematics or collected biographies of mathematicians are mainly if not entirely their authors' personal embroideries upon odds and ends pecked out of the two necrologies.
XI. XII. XIII. S ECTIO N III. Of Ratios and Proportions. ••• Of Arithmetical Proportion. • • . • . . . • • . ••.. Of the Summation of Arithmetical Progressions.. •.... ••••.. •••••. ••. • Of Infinite Decimal Fractions.. . . • . • • • . .. Of the Calculation of Interest • • . • . • • • . . • . •• SECTION IV. Of Algebraic Equations, and of the Resolution of those Equations. Chap. I. Of the Solution of Problems in General. . • . • II. • III. ••••••• , IV. Of the Resolution of two or more Equations of .
Euler. ADVERTISEMENT BY M. BERNOULLI, THE FRENCH TRANSLATOR. THE Treatise of Algebra, which I have undertaken to translate, was published in German, 1770, by the Royal Academy of Sciences at Petersburg. To praise its merits, would almost be injurious to the celebrated name of its author. It is sufficient to read a few pages, to perceive, from the perspicuity with which every thing is explained, what advantage beginners may derive from it. Other subjects are the purpose of this advertisement. I have departed from the division which is followed in the original, by introducing, in the first volume of the French translation, the first Section of the Second Volume of the original, because it completes the analysis of determinate quantities.
Elements of Algebra by Leonhard Euler, Scott L Hecht