BOOK
Edexcel AS and A level Further Mathematics Further Pure Mathematics 2
Greg Attwood | Dave Berry | Ian Bettison | Lee Cope | Tim Garry | Author
(2018)
Additional Information
Book Details
Abstract
Edexcel AS and A level Further Mathematics Further Pure Mathematics 2 Textbook
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Front Cover | Front Cover | ||
| Contents | iii | ||
| Overarching themes | iv | ||
| Extra online content | vi | ||
| Chapter 1: Number theory | 1 | ||
| 1.1: The division algorithm | 2 | ||
| 1.2: The Euclidean algorithm | 5 | ||
| 1.3: Modular arithmetic | 10 | ||
| 1.4: Divisibility tests | 16 | ||
| 1.5: Solving congruence equations | 20 | ||
| 1.6: Fermat’s little theorem | 26 | ||
| 1.7: Combinatorics | 28 | ||
| Mixed exercise: 1 | 38 | ||
| Chapter 2: Groups | 44 | ||
| 2.1: The axioms for a group | 45 | ||
| 2.2: Cayley tables and finite groups | 51 | ||
| 2.3: Order and subgroups | 64 | ||
| 2.4: Isomorphism | 72 | ||
| Mixed exercise: 2 | 80 | ||
| Chapter 3: Complex numbers | 86 | ||
| 3.1: Loci in an Argand diagram | 87 | ||
| 3.2: Regions in an Argand diagram | 96 | ||
| 3.3: Transformations of the complex plane | 100 | ||
| Mixed exercise: 3 | 109 | ||
| Review exercise: 1 | 113 | ||
| Chapter 4: Recurrence relations | 120 | ||
| 4.1: Forming recurrence relations | 121 | ||
| 4.2: Solving first-order recurrence relations | 125 | ||
| 4.3: Solving second-order recurrence relations | 134 | ||
| 4.4: Proving closed forms | 142 | ||
| Mixed exercise: 4 | 145 | ||
| Chapter 5: Matrix algebra | 152 | ||
| 5.1: Eigenvalues and eigenvectors | 153 | ||
| 5.2: Reducing matrices to diagonal form | 166 | ||
| 5.3: The Cayley–Hamilton theorem | 179 | ||
| Mixed exercise: 5 | 183 | ||
| Chapter 6: Integration techniques | 188 | ||
| 6.1: Reduction formulae | 189 | ||
| 6.2: Arc length | 197 | ||
| 6.3: Area of a surface of revolution | 206 | ||
| Mixed exercise: 6 | 213 | ||
| Review exercise: 2 | 217 | ||
| Exam-style practice: AS | 225 | ||
| Exam-style practice: A level | 227 | ||
| Answers | 230 | ||
| Index | 264 | ||
| Back Cover | Back Cover |