Higher Algebra: A Sequel to Elementary Algebra for SchoolsMacmillan, 1891 - 557 páginas |
Dentro del libro
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... function , variable , rational integral function Condition that ax2 + 2hxy + by2 + 2gx + 2fy + c may be resolved into two linear factors · • Condition that ax2 + bx + c = 0 and a'x2 + b'x + c ' = 0 may have a common root Examples IX . c ...
... function , variable , rational integral function Condition that ax2 + 2hxy + by2 + 2gx + 2fy + c may be resolved into two linear factors · • Condition that ax2 + bx + c = 0 and a'x2 + b'x + c ' = 0 may have a common root Examples IX . c ...
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... in expansions Examples XXIII . . CHAPTER XXIV . RECURRING SERIES . Scale of relation • Sum of a recurring series Generating function Examples XXIV . CHAPTER XXV . CONTINUED FRACTIONS . Conversion of a fraction XVI CONTENTS .
... in expansions Examples XXIII . . CHAPTER XXIV . RECURRING SERIES . Scale of relation • Sum of a recurring series Generating function Examples XXIV . CHAPTER XXV . CONTINUED FRACTIONS . Conversion of a fraction XVI CONTENTS .
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... function of n If an is a rational integral function of n , the series Za , " is a recurring series • Further cases of recurring series Examples XXIX . b . • Miscellaneous methods of summation Sum of series 1 " +2 " + 3r + ... + nr ...
... function of n If an is a rational integral function of n , the series Za , " is a recurring series • Further cases of recurring series Examples XXIX . b . • Miscellaneous methods of summation Sum of series 1 " +2 " + 3r + ... + nr ...
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... · Horner's Method of Synthetic Division . Symmetrical and Alternating Functions Examples of identities worked out List of useful formulæ . 42 43 433 434 434 435 437 438 Examples XXXIV . a . Identities proved by properties of XX CONTENTS .
... · Horner's Method of Synthetic Division . Symmetrical and Alternating Functions Examples of identities worked out List of useful formulæ . 42 43 433 434 434 435 437 438 Examples XXXIV . a . Identities proved by properties of XX CONTENTS .
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... functions Euler's method of elimination Sylvester's Dialytic Method · Bezout's method Examples XXXIV . c . • • Miscellaneous examples of elimination . PAGE 438 440 441 442 442 444 444 445 446 446 447 449 CHAPTER XXXV . THEORY OF ...
... functions Euler's method of elimination Sylvester's Dialytic Method · Bezout's method Examples XXXIV . c . • • Miscellaneous examples of elimination . PAGE 438 440 441 442 442 444 444 445 446 446 447 449 CHAPTER XXXV . THEORY OF ...
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Otras ediciones - Ver todas
Higher Algebra: A Sequel to Elementary Algebra for Schools H. S. Hall,S. R. Knight Sin vista previa disponible - 2017 |
Higher Algebra: A Sequel to Elementary Algebra for Schools (Classic Reprint) H. S. Hall Sin vista previa disponible - 2017 |
Higher Algebra: A Sequel to Elementary Algebra for Schools H. S. Hall,S. R. Knight Sin vista previa disponible - 2018 |
Términos y frases comunes
a+b+c a₁ Algebra annuity arithmetic mean arithmetical progression ax² b₁ balls Binomial Theorem C₁ C₂ CAMB COLL common difference common ratio complete quotient contains continued fraction decimal denominator denote digits divided divisible equal event Example expansion expression factors find the chance find the number Find the sum find the value finite geometric Geometrical Progression given series greater harmonic means hence In+1 infinite series less letters logarithms multiplying negative nth term number of shot number of solutions number of terms obtain P₁ partial fractions positive integers preceding article prime number proper fraction prove quadratic quadratic equation quantities radix recurring decimal result scale of relation series is convergent shew shillings Similarly Solve the equations suppose U₁ U₂ unity varies whence zero
Pasajes populares
Página 55 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Página 169 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 111 - The number of combinations of n things г at a time is equal to the number of combinations of n things n—r at a time.
Página 488 - At the 50th mile stone from London, A overtook a drove of geese which were proceeding at the rate of three miles in two hours ; and two hours afterwards met a stage waggon, which was moving at the rate of 9 miles in 4 hours.
Página 450 - If then we suppose the factors corresponding to the negative and imaginary roots to be already multiplied together, each factor x— a corresponding to a positive root introduces at least one change of sign ; therefore no equation can have more positive roots than it has changes of sign. To prove the second part of Descartes...
Página 109 - Pr always denotes the number of factors in the formula we are using. Ex. 1. Four persons enter a carriage in which there are six seats : in how many ways can they take their places ? The first person may seat himself in 6 ways ; and then the second person in 5 ; the third in 4 ; and the fourth in 3 ; and since each of these ways may be associated with each of the others, the required answer is б x 5 x 4 x 3, or 360.
Página 13 - Hence if any three terms of a proportion are given, the fourth may be found. Thus if...
Página 172 - The integral part of a logarithm is called the characteristic, and the decimal part is called the mantissa.
Página 482 - A railway train after travelling for one hour meets with an accident which delays it one hour, after which it proceeds at three-fifths of its former rate, and arrives at the terminus...
Página 455 - Every equation of an odd degree has at least one real root whose sign is opposite to that of its last term.