Further Pure MathematicsThis volume continues the work covered in Core Maths or Mathematics - The Core Course for Advanced Level to provide a full two-year course in Pure Mathematics for A-Level. |
Contents
Preface | 1 |
Further Transformations | 64 |
Mathematical Proof | 149 |
Functions | 173 |
Polar Coordinates | 222 |
Series | 241 |
Differential Equations | 269 |
Complex Numbers | 290 |
Further Integration and Some Applications | 374 |
Numerical Methods for the Solution of Differential | 430 |
Curve Sketching and Inequalities | 449 |
Coordinate Geometry | 483 |
Groups | 566 |
Matrix Algebra | 624 |
Answers | 686 |
| 731 | |
Common terms and phrases
angle approximation Argand diagram arsinh ascending powers asymptotes ax² axes axis b₁ Cartesian equation centroid chord circle column complex numbers consider convergent coordinates Core Course cosh cube roots cyclic d²y d2y dx2 d2y dy defined diagonal diagonalizable differential equation dx dy dx2 dx dy dx eigenvalues eigenvectors elements ellipse example Exercise expansion express Find the equation function given gives gradient graph hyperbola identity integral inverse isin isomorphic length linear locus maps matrix Moivre's Theorem multiplication Note nth roots orthogonal orthogonal matrix pair parametric equations perpendicular point of inflexion polynomial Prove quadratic real numbers represents roots of unity rotation series of ascending Show sinh solution symmetry symmetry group tangent transformation triangle vector space zero δε Σα