The Theory of Equations: With an Introduction to the Theory of Binary Algebraic FormsHodges, Figgis & Company, 1886 - 448페이지 |
목차
| 5 | |
| 8 | |
| 9 | |
| 10 | |
| 12 | |
| 13 | |
| 17 | |
| 19 | |
| 198 | |
| 199 | |
| 203 | |
| 207 | |
| 213 | |
| 217 | |
| 220 | |
| 224 | |
| 21 | |
| 22 | |
| 25 | |
| 26 | |
| 28 | |
| 36 | |
| 42 | |
| 53 | |
| 60 | |
| 67 | |
| 73 | |
| 80 | |
| 84 | |
| 90 | |
| 92 | |
| 95 | |
| 98 | |
| 100 | |
| 102 | |
| 103 | |
| 106 | |
| 107 | |
| 109 | |
| 111 | |
| 112 | |
| 118 | |
| 119 | |
| 123 | |
| 125 | |
| 127 | |
| 133 | |
| 141 | |
| 142 | |
| 143 | |
| 144 | |
| 145 | |
| 146 | |
| 147 | |
| 148 | |
| 149 | |
| 152 | |
| 155 | |
| 167 | |
| 182 | |
| 229 | |
| 234 | |
| 235 | |
| 236 | |
| 248 | |
| 250 | |
| 259 | |
| 263 | |
| 267 | |
| 273 | |
| 276 | |
| 289 | |
| 291 | |
| 294 | |
| 306 | |
| 318 | |
| 319 | |
| 320 | |
| 323 | |
| 338 | |
| 339 | |
| 341 | |
| 343 | |
| 344 | |
| 347 | |
| 349 | |
| 351 | |
| 353 | |
| 359 | |
| 360 | |
| 366 | |
| 369 | |
| 371 | |
| 372 | |
| 376 | |
| 385 | |
| 391 | |
| 401 | |
| 411 | |
| 417 | |
| 428 | |
| 437 | |
| 445 | |
기타 출판본 - 모두 보기
자주 나오는 단어 및 구문
a₁ a²I algebraical b₁ binomial biquadratic equation c₁ calculation changes of sign coefficients column constituents corresponding cube roots cubic equation degree derived functions determinant differences diminishing the roots divisor equa equal roots equation f(x equation whose roots equation x² Euler's cubic example form the equation given equation hence homographic identity imaginary roots integral method multiple roots multiplying negative root Newton's method nth roots number of changes obtain P₁ pair polynomial positive roots proposed equation proposition prove quantities quartic quotient real roots reciprocal equation reducing cubic result roots lie roots of unity solution special roots Sturm's Sturm's theorem substituting superior limit symmetric function theorem tion transformed equation U₁ values vanish variable whence zero α₁ αβ βγ
인기 인용구
21 페이지 - Every equation of an even degree, involving only real coefficients of which the last term is negative, has at least two real roots, one positive and the other negative.
36 페이지 - The coefficient p, of the fourth term with its sign changed is equal to the sum of the products of the roots taken three by three ; and so on, the signs of the...
78 페이지 - Descartes' rule of signs, cannot have more than one positive root; hence the former must have a pair of imaginary roots. 3. Find the equation whose roots are the squares of the roots of the equation Ans It follows from Descartes...
333 페이지 - Article ; for the product of the squares ot the differences of all the roots is made up of the product of the squares of the differences of the roots of...
20 페이지 - ... every equation of an even degree, whose last term is negative, has at least two real roots with contrary signs.
29 페이지 - Suppose now a polynomial formed of the product of the factors corresponding to the negative and imaginary roots of an equation ; the effect of multiplying this by each of the factors x - a, x - /3, x - y, &c., corresponding to the positive roots a...