BOOK
Edexcel A level Further Mathematics Core Pure Mathematics Book 2 Textbook + e-book
Greg Attwood | Jack Barraclough | Ian Bettison | Lee Cope | Alistair Macpherson | Bronwen Moran
(2018)
Additional Information
Book Details
Abstract
Exam Board: Edexcel
Level: A level
Subject: Further Mathematics
First teaching: September 2017
First exams: Summer 2019
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 can be used alongside the Year 1 book 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, practice papers, 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: Exponential form of complex numbers | 2 | ||
| 1.2: Multiplying and dividing complex numbers | 5 | ||
| 1.3: De Moivre’s theorem | 8 | ||
| 1.4: Trigonometric identities | 11 | ||
| 1.5: Sums of series | 16 | ||
| 1.6: nth roots of a complex number | 20 | ||
| 1.7: Solving geometric problems | 25 | ||
| Mixed exercise: 1 | 27 | ||
| Chapter 2: Series | 31 | ||
| 2.1: The method of differences | 32 | ||
| 2.2: Higher derivatives | 38 | ||
| 2.3: Maclaurin series | 40 | ||
| 2.4: Series expansions of compound functions | 44 | ||
| Mixed exercise: 2 | 48 | ||
| Chapter 3: Methods in calculus | 52 | ||
| 3.1: Improper integrals | 53 | ||
| 3.2: The mean value of a function | 58 | ||
| 3.3: Differentiating inverse trigonometric functions | 62 | ||
| 3.4: Integrating with inverse trigonometric functions | 65 | ||
| 3.5: Integrating using partial fractions | 69 | ||
| Mixed exercise: 3 | 74 | ||
| Chapter 4: Volumes of revolution | 77 | ||
| 4.1: Volumes of revolution around the x-axis | 78 | ||
| 4.2: Volumes of revolution around the y-axis | 81 | ||
| 4.3: Volumes of revolution of parametrically defined curves | 83 | ||
| 4.4: Modelling with volumes of revolution | 87 | ||
| Mixed exercise: 4 | 89 | ||
| Review exercise: 1 | 93 | ||
| Chapter 5: Polar coordinates | 100 | ||
| 5.1: Polar coordinates and equations | 101 | ||
| 5.2: Sketching curves | 104 | ||
| 5.3: Area enclosed by a polar curve | 109 | ||
| 5.4: Tangents to polar curves | 113 | ||
| Mixed exercise: 5 | 116 | ||
| Chapter 6: Hyperbolic functions | 119 | ||
| 6.1: Introduction to hyperbolic functions | 120 | ||
| 6.2: Inverse hyperbolic functions | 123 | ||
| 6.3: Identities and equations | 125 | ||
| 6.4: Differentiating hyperbolic functions | 130 | ||
| 6.5: Integrating hyperbolic functions | 135 | ||
| Mixed exercise: 6 | 142 | ||
| Chapter 7: Methods in differential equations | 147 | ||
| 7.1: First-order differential equations | 148 | ||
| 7.2: Second-order homogeneous differential equations | 153 | ||
| 7.3: Second-order non-homogeneous differential equations | 157 | ||
| 7.4: Using boundary conditions | 162 | ||
| Mixed exercise: 7 | 165 | ||
| Chapter 8: Modelling with differential equations | 170 | ||
| 8.1: Modelling with first-order differential equations | 171 | ||
| 8.2: Simple harmonic motion | 175 | ||
| 8.3: Damped and forced harmonic motion | 180 | ||
| 8.4: Coupled first-order simultaneous differential equations | 186 | ||
| Mixed exercise: 8 | 191 | ||
| Review exercise: 2 | 196 | ||
| Exam-style practice: Paper 1 | 209 | ||
| Exam-style practice: Paper 2 | 211 | ||
| Answers | 213 | ||
| Index | 256 | ||
| Back Cover | Back Cover |