"This is a facsimile reprint of John Hewlett's 1840 translation of Euler's Algebra and Lagrange's Additions thereto. Most of Euler's contribution is elementary, nothing more advanced than solving quartic equations, but worth having in order to appreciate his leisurely and effective style---would that more great mathematicians wrote so well and to such pedagogic effect. However, one third of the book is his lucid treatment of questions in number theory, and it is this material that drew Lagrange's comments. Here for the first time are the rigorous treatments of continued fractions and "Pell's" equation, and of quadratic forms. The combination of Euler's and Lagrange's tests, of experimental and theoretical research in Weil's description, is justly celebrated by the editors of Euler's Opera omnia, who print the two together, and it is good to see this classic back in print in English. Every library without much Euler should at least have this volume. It is accompanied by an excerpt of Horner's memoir on the life of Euler, and a eulogy by Truesdell, with a useful bibliography." -- MATHEMATICAL REVIEWS

Authors and Affiliations

London, UK

Leonard Euler

Bibliographic Information

Book Title: Elements of Algebra
Authors: Leonard Euler
DOI: https://doi.org/10.1007/978-1-4613-8511-0
Publisher: Springer New York, NY
eBook Packages: Springer Book Archive
Copyright Information: American Society for 18th Century Studies 1972
Softcover ISBN: 978-1-4613-8513-4Published: 08 November 2011
eBook ISBN: 978-1-4613-8511-0Published: 06 December 2012
Edition Number: 1
Number of Pages: LX, 595
Additional Information: Original German edition published by Birkhäuser Basel
Topics: Algebra

Publish with us

Policies and ethics

Elements of Algebra

Authors:

Sections

Buy it now

Other ways to access

Table of contents (89 chapters)

Front Matter

Containing the Analysis of Determinate Quantities

Of the Different Methods of Calculating Simple Quantities

<i>Of</i> Mathematics <i>in general</i>

<i>Explanation of the Signs</i> + Plus <i>and</i> — Minus

<i>Of the</i> Multiplication <i>of</i> Simple Quantities

<i>Of the Nature of whole</i> Numbers, <i>or</i> Integers, <i>with respect to their</i> Factors

<i>Of the</i> Division <i>of</i> Simple Quantities

<i>Of the</i> Properties <i>of</i> Integers, <i>with respect to their</i> Divisors

<i>Of</i> Fractions <i>in general</i>

<i>Of the</i> Properties <i>of</i> Fractions

<i>Of the</i> Addition <i>and</i> Subtraction <i>of</i> Fractions

<i>Of the</i> Multiplication <i>and</i> Division <i>of</i> Fractions

<i>Of</i> Square Numbers

<i>Of</i> Square roots, <i>and of</i> Irrational Numbers <i>resulting from them</i>

<i>Of</i> Impossible, <i>or</i> Imaginary Quantities, <i>which arise from the same source</i>

<i>Of</i> Cubic Numbers

<i>Of</i> Cube Roots, <i>and of</i> Irrational Numbers <i>resulting from them</i>

<i>Of</i> Powers <i>in general</i>

<i>Of the</i> Calculation <i>of</i> Powers

<i>Of</i> Roots, <i>with relation to</i> Powers <i>in general</i>

<i>Of the Method of representing</i> Irrational Numbers <i>by</i> Fractional Exponents

Keywords

Reviews

Authors and Affiliations

London, UK

Bibliographic Information

Publish with us

Buy it now

Other ways to access

Navigation

Authors:

Sections

Buy it now

Buying options

Other ways to access

Table of contents (89 chapters)

Front Matter

Containing the Analysis of Determinate Quantities

Of the Different Methods of Calculating Simple Quantities

Keywords

Reviews

Authors and Affiliations

London, UK

Bibliographic Information

Publish with us

Buy it now

Buying options

Other ways to access

Search

Navigation