A Theoretical and Practical Treatise on Algebra: In which the Excellencies of the Demonstrative Methods of the French are Combined with the More Practical Operations of the English and Concise Solutions Pointed Out and Particularly Inculcated : Designed for Schools, Colleges and Private Students

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J. Ernst, 1856 - Algebra - 336 pages
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Contents

Addition
12
Multiplication
19
Division 86
26
Amf iib uc Fractions
34
SECTION II
52
Question producing Simple Equations
70
Equations of Three or more unknown Quantities
76
Problems producing Simple Equations of Two or more unknown quanti
87
Questions producing Quadratic Equations
183
SECTION V
189
Geometrical Progression
195
Geometrical Proportion
205
SECTION VI
213
Infinite Series
221
Reversion of a Series
231
Application of Logarithms
244

Interpretation of negative values in the Solutior of Problems
94
Problem of the Couriers
102
Some application of the Binomial Theorem
111
Cube root of Compound quantities
121
Exponential Quantities and Surds
128
Binomial Surds
141
Problem producing pure Equations
147
Quadratic Equations
157
Special Artifices in resolving Quadratics Art 106
169
Quadratic Equations containing two or more unknown quantities
175
vii
251
Binomial Equations
260
Equal Roots
267
Transformation by Division
275
General Properties of Equations
286
Sturms Theorem
297
Newtons Method of Approximation
305
Solution of Equations
314
Application of Equations to the Extraction of Roots
322
Interpolation
330

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