Elements of Arithmetic and Algebra: For the Use of the Royal Military CollegeLongman, Brown, Green & Longmans, 1850 - 527 páginas |
Índice
ELEMENTS OF ARITHMETIC | 1 |
Division | 5 |
Principles | 7 |
Subtraction | 8 |
Examples with Explanation of the Process | 13 |
Case of One Minuend and several Subtrahends | 22 |
Multiplication | 26 |
91 | 50 |
Partnership | 235 |
Some Applications of Proportion | 241 |
Of Homogeneous and Similar Terms and of the Simplification | 248 |
Multiplication of Monomial Quantities | 255 |
Case of different Powers of x in the Dividend a not being found | 265 |
Of the Numerical Value of an Algebraic Fraction | 273 |
38 | 283 |
47 | 289 |
Definitions of Multiplication and Division | 57 |
Definitions and Principles | 58 |
Table of Multiplication | 66 |
Of the Expressions | 68 |
60 | 82 |
70 | 93 |
MULTIPLICATION OF WHOLE NUMBERS | 97 |
Division of Fractions | 105 |
Remarks on Multiplication and Division of Fractions | 111 |
Subtraction | 118 |
Periodic Decimal Fractions | 127 |
Of the Numerical Values of Algebraic Expressions | 130 |
OF THE SQUARE SQUARE ROOT CUBE | 133 |
262 | 140 |
271 | 146 |
275 | 152 |
Tables of Weights and Measures | 165 |
322 | 169 |
Reduction of Compound Numbers from higher Denominations | 172 |
Reduction of a Compound Number to a Fraction expressed | 178 |
Resolution of the Equation ax+byc in Whole Positive | 183 |
Subtraction of Compound Numbers | 187 |
Multiplication and Division of Compound Numbers by Frac | 196 |
Of Inequalities | 200 |
Rule of Aliquot Parts | 204 |
Solution of Questions by Proportion | 213 |
Proof that axbbxa | 219 |
General Rule and Examples | 221 |
112 | 223 |
Discount | 228 |
Multiplication of General Expressions of Number | 292 |
Remarks on the Resolution of Equations of the First Degree | 299 |
Cases in which the Number of Unknown Quantities exceeds | 305 |
Of the Double Value of the Square Root of an Algebraic | 317 |
729 | 319 |
83 | 327 |
90 | 335 |
36 | 348 |
103 | 349 |
Of Imaginary Quantities | 350 |
Of Radicals of the Second Degree | 356 |
124 | 363 |
SECTION VIII | 371 |
Of Fractional Exponents | 372 |
149 | 382 |
177 | 403 |
Of the Number of Balls in a Pile | 416 |
The Convergents are alternately less and greater than | 423 |
Resolution of an Indeterminate Equation of the First Degree | 429 |
Comparison of an Arithmetical and a Geometrical Progression | 430 |
Determination of the Logarithms of one System from | 436 |
OF THE COMPOSITION OF EQUATIONS | 449 |
To transform an Equation into another which shall want | 458 |
Elimination by the Greatest Common Measure | 462 |
Equations of the Differences and the Squares of the Differ | 468 |
OF THE RESOLUTION OF NUMERICAL EQUATIONS | 475 |
Determination of an Inferior Limit of the Positive Roots | 481 |
Newtons Method of Approximation | 489 |
STURMS THEOREM HORNERS METHOD | 496 |
Horners Method for the Resolution of Numerical Equations | 507 |
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Elements of Arithmetic and Algebra: For the Use of the Royal Military College William Scott No hay ninguna vista previa disponible - 1850 |