Elements of Algebra

Front Cover
Springer Science & Business Media, Dec 6, 2012 - Mathematics - 595 pages
""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.
 

What people are saying - Write a review

LibraryThing Review

User Review  - richardhobbs - LibraryThing

I love this book even though I am awful at Math... Read full review

Contents

Leonard Euler Supreme Geometer by C Truesdell
vii
Excerpt from the Memoir of the Life and Character of Euler by Francis
xl
Horner Esq M P
liii
Containing the Analysis of Determinate Quantities SECTION I
1
Explanation of the signs + plus and minus
3
Of the Multiplication of Simple Quantities
6
Of the Nature of whole Numbers or Integers with respect to their Factors
10
Of the Division of Simple Quantities
13
Of the Squares of Compound Quantities
97
Of the Extraction of Roots applied to Com
100
Of the Transposition of the Letters on which
115
Of the Resolution of Negative Powers
123
Of Arithmetical Proportion
129
Of Geometrical Ratio
146
Of Geometrical Proportions
152
SECTION IV
186

Of the Properties of Integers with respect to their Divisors
16
Of Fractions in general
20
Of the Properties of Fractions
24
Of the Addition and Subtraction of Fractions
27
Of the Multiplication and Division of Fractions
30
Of Square Numbers
36
Of Square Roots and of Irrational Numbers re sulting from them
38
Of Impossible or Imaginary Quantities which arise from the same source
42
Of Cubic Numbers
45
Of Cube Roots and of Irrational Numbers re sulting from them
46
Of Powers in general
48
Of the Calculation of Powers
52
Of Roots with relation to Powers in general
54
Of the Method of representing Irrational Num bers by Fractional Exponents
56
Of the different Methods of Calculation and of their Mutual Connexion
60
Of Logarithms in general
63
Of the Logarithmic Tables now in use
66
Of the Method of expressing Logarithms
69
Elements of Algebra lv
74
SECTION II
76
Of the Subtraction of Compound Quantities
78
Of the Multiplication of Compound Quantities
79
Of the Division of Compound Quantities
84
Of the Resolution of Fractions into Infinite Series
89
Of the Solution of Questions relating to the pre
194
Of the Resolution of two or more Equations
206
Second Degree
222
Of the Extraction of Square Roots of Binomials
234
Of the Nature of Equations of the Second Degree
244
Of the Resolution of Complete Equations
253
XIV Of the Rule of Bombelli for reducing the
272
PART II
299
Of the Rule which is called Regula Caeci for
312
Of the Cases in which the Formula a + ba + ca
322
Of the Cases in Integer Numbers in which
335
Of a particular Method by which the Formula
342
Of the Method of rendering the Irrational Formula
351
Of the Method of rendering rational the Incommen
368
Of the Method of rendering rational the irrational
379
Of the Transformation of the Formula awcy?
396
Solution of some Questions that belong to this
405
Solutions of some Questions in which Cubes
449
Advertisement
463
Of the Resolution in Integer Numbers of Equa
530
A direct and general Method for finding
537
Of Double and Triple Equalities
547
Of the Manner of finding Algebraic Functions
583
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information