An Elementary Treatise on Algebra: Theoretical and Practical : with Attempts to Simplify Some of the More Difficult Parts of the Science ...

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Carey & Lea, 1832 - Algebra - 352 pages
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Contents

CHAPTER I
1
Subtraction
6
Division
9
Algebraic fractions
19
Involution
28
CHAPTER II
38
Questions producing simple equations involving but
45
Questions producing simple equations involving two unknown
55
On recurring equations
184
On binomial equations
187
On the extraction of the cube root
205
On solution of equations of the higher orders
210
CHAPTER VII
217
Transformation of formulŠ to those of more rapid conver
225
On the direct computation of logarithms independently
232
Application of logarithms
238

On arithmetical proportion and progression
68
On harmonical proportion
76
Additional problems involving equations of one two
81
Reduction of surds
89
To find multipliers which will render binomial surds rational
94
On quadratic equations
101
Adfected quadratics
105
Another method of solving quadratics
112
Questions producing quadratics involving but one unknown
120
On quadratics involving two unknown quantities
125
Questions producing quadratics with two unknown quanti
147
CHAPTER IV
156
Another investigation
162
On binomial columns
169
CHAPTER V
173
Compound interest by logarithms
241
CHAPTER VIII
246
On the summation of infinite series
251
On recurring series
262
On the method of indeterminate coefficients
266
On the multinomial theorem
269
CHAPTER IX
275
To determine a priori the number of solutions that
282
To solve an indeterminate equation containing three
286
To find the least whole number which being divided
292
CHAPTER X
296
To find rational values for expressions affected with the sign
313
On double and triple equalities
316
Problems for exercise in the foregoing rules
319

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