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Elements of Algebra (Paperback, Softcover reprint of the original 1st ed. 1972)
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Elements of Algebra (Paperback, Softcover reprint of the original 1st ed. 1972)
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I. Containing the Analysis of Determinate Quantities.- Section I.
Of the Different Methods of calculating Simple Quantities.- Chap.
I. Of Mathematics in general.- II. Explanation of the signs + plus
and - minus.- III. Of the Multiplication of Simple Quantities.- IV.
Of the Nature of whole Numbers, or Integers, with respect to their
Factors.- V. Of the Division of Simple Quantities.- VI. Of the
Properties of Integers, with respect to their Divisors.- VII. Of
Fractions in general.- VIII. Of the Properties of Fractions.- IX.
Of the Addition and Subtraction of Fractions.- X. Of the
Multiplication and Division of Fractions.- XI. Of Square Numbers.-
XII. Of Square Roots, and of Irrational Numbers resulting from
them.- XIII. Of Impossible, or Imaginary Quantities, which arise
from the same source.- XIV. Of Cubic Numbers.- XV. Of Cube Roots,
and of Irrational Numbers resulting from them.- XVI. Of Powers in
general.- XVII. Of the Calculation of Powers.- XVIII. Of Roots,
with relation to Powers in general.- XIX. Of the Method of
representing Irrational Numbers by Fractional Exponents.- XX. Of
the different Methods of Calculation, and of their Mutual
Connexion.- XXI. Of Logarithms in general.- XXII. Of the
Logarithmic Tables now in use.- XXIII. Of the Method of expressing
Logarithms.- Section II. Of the different Methods of calculating
Compound Quantities.- Chap. 1. Of the Addition of Compound
Quantities.- II. Of the Subtraction of Compound Quantities.- III.
Of the Multiplication of Compound Quantities.- IV. Of the Division
of Compound Quantities.- V. Of the Resolution of Fractions into
Infinite Series.- VI. Of the Squares of Compound Quantities.- Chap.
VII. Of the Extraction of Roots applied to Compound Quantities.-
VIII. Of the Calculation of Irrational Quantities.- IX. Of Cubes,
and of the Extraction of Cube Roots.- X. Of the higher Powers of
Compound Quantities.- XI. Of the Transposition of the Letters, on
which the demonstration of the preceding Rule is founded.- XII. Of
the Expression of Irrational Powers by Infinite Series.- XIII. Of
the Resolution of Negative Powers.- Section III. Of Ratios and
Proportions.- Chap. I. Of Arithmetical Ratio, or of the Difference
between two Numbers.- II. Of Arithmetical Proportion.- III. Of
Arithmetical Progressions.- IV. Of the Summation of Arithmetical
Progressions.- V. Of Figurate, or Polygonal Numbers.- VI. Of
Geometrical Ratio.- VII. Of the greatest Common Divisor of two
given Numbers.- VIII. Of Geometrical Proportions.- IX. Observations
on the Rules of Proportion and their Utility.- X. Of Compound
Relations.- XI. Of Geometrical Progressions.- XII. Of Infinite
Decimal Fractions.- XIII. 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. Of
the Resolution of Simple Equations, or Equations of the First
Degree.- III. Of the Solution of Questions relating to the
preceding Chapter.- IV. Of the Resolution of two or more Equations
of the First Degree.- V. Of the Resolution of Pure Quadratic
Equations.- VI. Of the Resolution of Mixed Equations of the Second
Degree.- VII. Of the Extraction of the Roots of Polygonal Numbers.-
VIII. Of the Extraction of Square Roots of Binomials.- Chap. IX. Of
the Nature of Equations of the Second Degree.- X. Of Pure Equations
of the Third Degree.- XI. Of the Resolution of Complete Equations
of the Third Degree.- XII. Of the Rule of Cardan, or of Scipio
Ferreo.- XIII. Of the Resolution of Equations of the Fourth
Degree.- XIV. Of the Rule of Bombelli for reducing the Resolution
of Equations of the Fourth Degree to that of Equations of the Third
Degree.- XV. Of a new Method of resolving Equations of the Fourth
Degree.- XVI. Of the Resolution of Equations by Approximation.- II.
Containing the Analysis of Indeterminate Quantities.- Chap. I. Of
the Resolution of Equations of the first Degree, which contain more
than one unknown Quantity.- II. Of the Rule which is c
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Release date: |
November 2011 |
First published: |
1972 |
Introduction by: |
C. Truesdell
|
Authors: |
L Euler
|
Translators: |
J Hewlett
|
Dimensions: |
235 x 155 x 34mm (L x W x T) |
Format: |
Paperback
|
Pages: |
595 |
Edition: |
Softcover reprint of the original 1st ed. 1972 |
ISBN-13: |
978-1-4613-8513-4 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
1-4613-8513-X |
Barcode: |
9781461385134 |
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