A Treatise on Elementary and Higher Algebra

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BoD – Books on Demand, Oct 24, 2022 - Fiction - 564 pages
Reprint of the original, first published in 1859.

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Contents

DEFINITIONS AND NOTATION
1
Vinculum Parenthesis etc Coefficients
8
SECTION IV
17
Product of a Polynomial and a Monomial
24
Polynomial Products 86
54
SECTION V
62
Division of Polynomials
68
Horners Synthetic Division
87
Method of finding any Power of a Polynomial
279
Roots of Monomials
286
Roots of Polynomials
297
SECTION XII
315
Multiplication and Division of Surds 821
321
Method of Freeing any Algebraic Expression from Surds 826
330
SECTION XII
337
Algebraic and Transcendental Equations 888
353

Appendix to Multiplication and Division
120
Prime and Composite Numbers
128
Method of finding Prime Numbers 185
141
Rule for finding the Least Common Multiple
150
Reduced to their Lowest Terms
157
Addition of Fractions
163
Division of Fractions
169
Progressions
175
SECTION IX
182
Inversion
188
Ex æquali in Inverse Proportion
196
Method of finding any Term of a Proportion from the other Terms 203
203
Terms
207
Abridged ProportionsHarmonical Proportions and Progressions
215
Of the Characters 0 and and their Uses
225
Application of the Principle to Examples 280
254
SECTION X
269
Particular Methods of Solution illustrated by Examples
362
Appendix to Simple Equations 888
388
SECTION XIV
394
Questions giving rise to Quadratic Equations
415
SECTION XV
428
To the Reversion of Scries
435
Illustration by Examples
441
SECTION XVI
454
SECTION XVII
462
Solution of Biquadratic Equations
469
Descartes Theorem
481
SECTION XIX
494
New and General Method of Developing the Roots of Equations
512
SOLUTION OF EXPONENTIAL EQUATIONS
521
SECTION XXI
535
SECTION XXII
544
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