Pure Mathematics, Volume 2This volume continues the work covered in the first book, Pure Mathematics 1, and is intended to complete a full two year course in Pure Mathematics. It caters for the Pure Mathematics content of most courses in Further Mathematics and also for preparation for the Advanced Extension Award. |
Contents
Preface V | 1 |
Coordinate Geometry I | 62 |
Coordinate Geometry II | 111 |
Three dimensional space Coordinate methods | 139 |
Three dimensional space Vector methods | 183 |
Transformations and Linear Equations | 248 |
Mathematical Proof | 305 |
Summation of Series | 332 |
Some Functions and their Properties | 364 |
Common terms and phrases
angle approximation arcosh Argand diagram arsinh asymptotes ax² b₁ Cartesian equation centre chord column complex number Consider cosh cube roots cubic equation curve d2y dy defined determinant diagram diameter differential equation direction cosines direction ratios distance dx dx ellipse example expressed factor Find the coordinates Find the equation Find the sum function given equation gives gradient graph Hence find integral values inverse linear locus maps matrix method midpoint normal Note origin P₁ pair of lines parabola parallel parametric equations perpendicular polynomial position vector positive integer Prove real roots rectangular hyperbola represents rotation Show sinh sinh x solution Solve the equation statement tangent tanh transformation triangle unit vector variable vector equation volume xy plane δχ