Further Pure MathematicsOUP Oxford, 18 janv. 2001 - 432 pages Following on from Introducing Pure Mathematics by Smedley and Wiseman, Further Pure Mathematics covers in one volume all the pure mathematics required by students taking further mathematics. It also provides the basics for mathematics encountered in Higher Education. A clear text is supported by worked examples, exercises, and examination questions. The two books will cover the requirements of Pure Mathematics as part of double-certification Mathematics for any examinations board. · Clearly written explanations and graded worked examples to help students when they are studying alone · Wide variety of exercises · Comprehensive selection of recent exam questions from all the major examination boards |
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... Vector product 102 Area of a triangle 105 Equation of a plane 106 Distance of a plane from the origin 112 Distance ... Vector Geometry Vector equation of a line 225 94 94 Integration of hyperbolic functions 193 Inverse hyperbolic ...
... Vector product 102 Area of a triangle 105 Equation of a plane 106 Distance of a plane from the origin 112 Distance ... Vector Geometry Vector equation of a line 225 94 94 Integration of hyperbolic functions 193 Inverse hyperbolic ...
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... 300 Groups of order 6 392 Determinant of a matrix 303 Real vector spaces 399 Identity matrices and zero matrices 303 Inverse matrices 304 Answers 405 Transformations 309 Eigenvectors and eigenvalues 314 Index 419 CONTENTS.
... 300 Groups of order 6 392 Determinant of a matrix 303 Real vector spaces 399 Identity matrices and zero matrices 303 Inverse matrices 304 Answers 405 Transformations 309 Eigenvectors and eigenvalues 314 Index 419 CONTENTS.
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Table des matières
Preface | 1 |
Further Trigonometry with | 22 |
Inverse trigonometric functions | 30 |
Polar Coordinates | 51 |
Inequalities | 130 |
Position of a point | 147 |
Equations of the tangents to a curve | 154 |
89 | 177 |
Rules for the manipulation | 189 |
419 | |
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Expressions et termes fréquents
angle approximation Argand diagram binary operation cartesian equation coefficients complex numbers coordinates cosh cosh2x curve cyclic group d²y d2y dy decimal places determinant differential equation directrix dx dy dx2 dx dy dx EDEXCEL eigenvalues eigenvector ellipse Evaluate Example Exercise Express Find the area Find the equation Find the value forms a group formula function given giving your answer graph group of order Hence find hyperbola identity element integer integral intersect Introducing Pure Mathematics inverse locus matrix Moivre's theorem multiplication NEAB NICCEA obtain parabola parametric parametric equations perpendicular plane polar position vector power series prove radians radius real numbers rotation Show Simpson's rule sin³0 sinh sketch SOLUTION SQA/CSYS subgroup Substituting symmetries tangent tanh transformation trapezium rule vector equation WJEC x-axis z₁