Algebraic Analysis: Solutions and Exercises, Illustrating the Fundamental Theorems and the Most Important Processes of Pure AlgebraGinn, 1889 - 418 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Algebraic Analysis: Solutions and Exercises, Illustrating the Fundamental ... George Albert Wentworth,James Alexander McLellan,John Cadenhead Glashan Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2013 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b)² a+b+c a₁ b₁ c₁ a₁ b₂ a₂ a² b² a²b² a²x² algebraic ax² ax³ b₁ c₁ d₁ b² a² b² c² b²)² bx² by² c₂ coefficients column common factor cubic cx² denote determinant diagonal Divide divisor elements Eliminate Equating coefficients equation exactly divisible Exam EXAMPLES Find the value fraction given expression Hence inverse elements k₁ linear factors monomial Multiply numerator pair polynome prove quadratic quartic quotient r₁ remainder Resolve Simplify Solve square root substitute surd symmetrical with respect THEOREM vanish x₂ x² y² y²)² zero α α α₁ аз
Δημοφιλή αποσπάσματα
Σελίδα 26 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Σελίδα 26 - TJie coefficient of any term after the second is obtained by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.
Σελίδα 75 - V, p, </> to the effect that, if three numbers be proportional, the product of the extremes is equal to the square of the mean, and conversely. It does not appear in P in the first hand, B has it in the margin only, and Campanus omits it, remarking that Euclid does not give the proposition about three proportionals as he does in vi.
Σελίδα iii - This work is intended to supply students of mathematics with a well-filled storehouse of solved examples and unsolved exercises in the application of the fundamental theorems and processes of pure algebra, and to exhibit to them the highest and most important results of modern algebraic analysis.
Σελίδα 11 - The cube of the difference of two numbers is equal to the difference of the cubes — 3 x product x difference of the numbers.
Σελίδα 316 - These criteria were derived by a new transformation, namely the one which yields an equation whose roots are the squares of the differences of the roots of the given...
Σελίδα 11 - If the sum of the cubes of two numbers be divided by the sum of the numbers, the quotient is...
Σελίδα 11 - ... the product multiply the number of tens by one more than itself for the hundreds, and place the product of the units at the right of this product, for the tens and units. Thus...
Σελίδα 350 - The general theorem of which these are particular cases can he proved in a similar manner, and may be expressed as follows : — A minor of the order m formed out of the inverse constituents is equal to the complementary of the corresponding minor of the original determinant A multiplied by the (m — 1)'* power q/"A.
Σελίδα 11 - Express in symbols the statement that "the square of the sum of two numbers exceeds the sum of their squares by twice their product.