
Edexcel A level Further Mathematics Core Pure Mathematics Book 2 Textbook + e-book
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Content
- Front Cover
- Contents
- Overarching themes
- Extra online content
- Chapter 1: Complex numbers
- 1.1: Exponential form of complex numbers
- 1.2: Multiplying and dividing complex numbers
- 1.3: De Moivre's theorem
- 1.4: Trigonometric identities
- 1.5: Sums of series
- 1.6: nth roots of a complex number
- 1.7: Solving geometric problems
- Mixed exercise: 1
- Chapter 2: Series
- 2.1: The method of differences
- 2.2: Higher derivatives
- 2.3: Maclaurin series
- 2.4: Series expansions of compound functions
- Mixed exercise: 2
- Chapter 3: Methods in calculus
- 3.1: Improper integrals
- 3.2: The mean value of a function
- 3.3: Differentiating inverse trigonometric functions
- 3.4: Integrating with inverse trigonometric functions
- 3.5: Integrating using partial fractions
- Mixed exercise: 3
- Chapter 4: Volumes of revolution
- 4.1: Volumes of revolution around the x-axis
- 4.2: Volumes of revolution around the y-axis
- 4.3: Volumes of revolution of parametrically defined curves
- 4.4: Modelling with volumes of revolution
- Mixed exercise: 4
- Review exercise: 1
- Chapter 5: Polar coordinates
- 5.1: Polar coordinates and equations
- 5.2: Sketching curves
- 5.3: Area enclosed by a polar curve
- 5.4: Tangents to polar curves
- Mixed exercise: 5
- Chapter 6: Hyperbolic functions
- 6.1: Introduction to hyperbolic functions
- 6.2: Inverse hyperbolic functions
- 6.3: Identities and equations
- 6.4: Differentiating hyperbolic functions
- 6.5: Integrating hyperbolic functions
- Mixed exercise: 6
- Chapter 7: Methods in differential equations
- 7.1: First-order differential equations
- 7.2: Second-order homogeneous differential equations
- 7.3: Second-order non-homogeneous differential equations
- 7.4: Using boundary conditions
- Mixed exercise: 7
- Chapter 8: Modelling with differential equations
- 8.1: Modelling with first-order differential equations
- 8.2: Simple harmonic motion
- 8.3: Damped and forced harmonic motion
- 8.4: Coupled first-order simultaneous differential equations
- Mixed exercise: 8
- Review exercise: 2
- Exam-style practice: Paper 1
- Exam-style practice: Paper 2
- Answers
- Index
- Back Cover
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