BOOK
Edexcel AS and A level Further Mathematics Core Pure Mathematics Book 1/AS Textbook + e-book
Greg Attwood | Ian Bettison | Jack Barraclough | David Goldberg | Alistair Macpherson | Author
(2017)
Additional Information
Book Details
Abstract
Exam Board: Edexcel
Level: AS and A level
Subject: Further Mathematics
First teaching: September 2017
First exams: Summer 2018
With over 1.3 million copies sold of the previous edition, Pearson’s textbooks are the market-leading and most trusted resources for AS and A level Further Mathematics.
This book covers all the content needed for the compulsory Edexcel AS level Core Pure Mathematics exam. It can also be used alongside Book 2 to cover all the content needed for the compulsory Edexcel A level Core Pure Mathematics exams.
- Fully updated to match the 2017 specifications, with more of a focus on problem-solving and modelling.
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FREE additional online content to support your independent learning, including full worked solutions for every question in the book (SolutionBank) and GeoGebra interactives.
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Includes access to an online digital edition (valid for 3 years once activated).
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Includes worked examples with guidance, lots of exam-style questions, a practice paper, and plenty of mixed and review exercises.
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Front Cover | Front Cover | ||
| Contents | iii | ||
| Overarching themes | iv | ||
| Extra online content | vi | ||
| Chapter 1: Complex numbers | 1 | ||
| 1.1: Imaginary and complex numbers | 2 | ||
| 1.2: Multiplying complex numbers | 5 | ||
| 1.3: Complex conjugation | 6 | ||
| 1.4: Roots of quadratic equations | 8 | ||
| 1.5: Solving cubic and quartic equations | 10 | ||
| Mixed exercise: 1 | 14 | ||
| Chapter 2: Argand diagrams | 17 | ||
| 2.1: Argand diagrams | 18 | ||
| 2.2: Modulus and argument | 20 | ||
| 2.3: Modulus–argument form of complex numbers | 23 | ||
| 2.4: Loci in the Argand diagram | 28 | ||
| 2.5: Regions in the Argand diagram | 36 | ||
| Mixed exercise: 2 | 39 | ||
| Chapter 3: Series | 43 | ||
| 3.1: Sums of natural numbers | 44 | ||
| 3.2: Sums of squares and cubes | 47 | ||
| Mixed exercise: 3 | 51 | ||
| Chapter 4: Roots of polynomials | 54 | ||
| 4.1: Roots of a quadratic equation | 55 | ||
| 4.2: Roots of a cubic equation | 57 | ||
| 4.3: Roots of a quartic equation | 59 | ||
| 4.4: Expressions relating to the roots of a polynomial | 62 | ||
| 4.5: Linear transformations of roots | 65 | ||
| Mixed exercise: 4 | 68 | ||
| Chapter 5: Volumes of revolution | 71 | ||
| 5.1: Volumes of revolution around the x-axis | 72 | ||
| 5.2: Volumes of revolution around the y-axis | 76 | ||
| 5.3: Adding and subtracting volumes | 78 | ||
| 5.4: Modelling with volumes of revolution | 83 | ||
| Mixed exercise: 5 | 86 | ||
| Review exercise: 1 | 89 | ||
| Chapter 6: Matrices | 94 | ||
| 6.1: Introduction to matrices | 95 | ||
| 6.2: Matrix multiplication | 99 | ||
| 6.3: Determinants | 104 | ||
| 6.4: Inverting a 2 × 2 matrix | 108 | ||
| 6.5: Inverting a 3 × 3 matrix | 112 | ||
| 6.6: Solving systems of equations using matrices | 116 | ||
| Mixed exercise: 6 | 121 | ||
| Chapter 7: Linear transformations | 126 | ||
| 7.1: Linear transformations in two dimensions | 127 | ||
| 7.2: Reflections and rotations | 131 | ||
| 7.3: Enlargements and stretches | 136 | ||
| 7.4: Successive transformations | 140 | ||
| 7.5: Linear transformations in three dimensions | 144 | ||
| 7.6: The inverse of a linear transformation | 148 | ||
| Mixed exercise: 7 | 151 | ||
| Chapter 8: Proof by induction | 155 | ||
| 8.1: Proof by mathematical induction | 156 | ||
| 8.2: Proving divisibility results | 160 | ||
| 8.3: Proving statements involving matrices | 162 | ||
| Mixed exercise: 8 | 165 | ||
| Chapter 9: Vectors | 167 | ||
| 9.1: Equation of a line in three dimensions | 168 | ||
| 9.2: Equation of a plane in three dimensions | 175 | ||
| 9.3: Scalar product | 178 | ||
| 9.4: Calculating angles between lines and planes | 184 | ||
| 9.5: Points of intersection | 189 | ||
| 9.6: Finding perpendiculars | 193 | ||
| Mixed exercise: 9 | 202 | ||
| Review exercise: 2 | 209 | ||
| Exam-style practice: Paper 1 | 215 | ||
| Answers | 217 | ||
| Index | 249 | ||
| Back Cover | Back Cover |