Polynomials and Equations: A Chinese Merchant Elite in Colonial Hong Kong (with a new preface)Hong Kong University Press, 1992年12月1日 - 240 頁 Primarily a textbook to prepare Sixth Form students for public examinations in Hong Kong, this book is also useful as a reference for undergraduate students since it contains some advanced theory of equations beyond the sixth form level. |
內容
Polynomials | 1 |
Factorization of polynomials | 33 |
Notes on the study of equations in ancient civilizations | 55 |
Linear quadratic and cubic equations | 65 |
Roots and coefficients | 81 |
Bounds of real roots | 113 |
The derivative | 125 |
其他版本 - 查看全部
常見字詞
a₁ algebra anx² ax² Bolzano's theorem Cardano's formulae coefficients of f(x constant term Corollary correcting term cubic equation curve D₁ deg g(x distinct real roots division divisor domain Z[x equation f(x equation x³ Euclidean algorithm example EXERCISE factor theorem fi(x fo(x Given a polynomial given equation HCF f(x Hence imaginary roots indeterminate integer integral root irreducible polynomials Let f(x linear polynomials local maximum method mial monomial multiple root negative root non-zero constant number of roots number of variations obtain polyno polynomial function polynomial of degree polynomials of R[x positive integer positive roots PROOF quadratic equation quotient r₁ rational roots real coefficients real numbers real polynomial reciprocal equation remainder root of f(x roots of x² simple root SOLUTION Solve the equation Sturm functions Sturm sequence Sturm's theorem tangent unknown upper bound variations of signs zero