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Pure mathematics for advanced level /
Pure Mathematics for Advanced Level.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Butterworths,
1983.
|
| Edición: | Second edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Pure Mathematics for Advanced Level; Copyright Page; Preface to the second edition; Preface to the first edition; Table of Contents; Chapter 1 Operations with real numbers; 1.1 The real numbers; 1.2 Equations; 1.3 Elimination; 1.4 Inequalities; 1.5 The remainder and factor theorems; 1.6 Partial fractions; 1.7 Indices; 1.8 Logarithms; 1.9 Equations in which the unknown is an index; Chapter 2. Finite sequences and series; 2.1 Sequences and series; 2.2 The arithmetic sequence and series; 2.3 The finite geometric sequence and series; 2.4 The infinite geometric series.
- Chapter 3. The binomial theorem3.1 The binomial theorem for a positive integral index; 3.2 Proof of the binomial theorem when n is a positive integer; 3.3 The binomial theorem when n is not a positive integer; 3.4 Mathematical induction; Chapter 4. Complex numbers; 4.1 Introduction; 4.2 The rules for the manipulation of complex numbers; 4.3 The geometrical representation of complex numbers; 4.4 The geometry of complex numbers; 4.5 The cube roots of unity; Chapter 5. The quadratic function and the quadratic equation; 5.1 The general quadratic equation; 5.2 The quadratic function.
- Chapter 10. Some techniques of differentiation10.1 Introduction; 10.2 Differentiation of a constant; 10.3 Differentiation of the sum or difference of functions; 10.4 Differentiation of a product; 10.5 Differentiation of a quotient; 10.6 Differentiation of the trigonometric functions; 10.7 Second and higher derivatives; 10.8 Differentiation of a function of a function; 10.9 The derivative of xn, where n is negative or a fraction; 10.10 Differentiation of inverse functions; 10.11 Differentiation of implicit functions; 10.12 Differentiation from parametric equations; 10.13 List of standard forms.