
Edexcel AS and A level Further Mathematics Core Pure Mathematics Book 1/AS Textbook + e-book
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Content
- Front Cover
- Contents
- Overarching themes
- Extra online content
- Chapter 1: Complex numbers
- 1.1: Imaginary and complex numbers
- 1.2: Multiplying complex numbers
- 1.3: Complex conjugation
- 1.4: Roots of quadratic equations
- 1.5: Solving cubic and quartic equations
- Mixed exercise: 1
- Chapter 2: Argand diagrams
- 2.1: Argand diagrams
- 2.2: Modulus and argument
- 2.3: Modulus-argument form of complex numbers
- 2.4: Loci in the Argand diagram
- 2.5: Regions in the Argand diagram
- Mixed exercise: 2
- Chapter 3: Series
- 3.1: Sums of natural numbers
- 3.2: Sums of squares and cubes
- Mixed exercise: 3
- Chapter 4: Roots of polynomials
- 4.1: Roots of a quadratic equation
- 4.2: Roots of a cubic equation
- 4.3: Roots of a quartic equation
- 4.4: Expressions relating to the roots of a polynomial
- 4.5: Linear transformations of roots
- Mixed exercise: 4
- Chapter 5: Volumes of revolution
- 5.1: Volumes of revolution around the x-axis
- 5.2: Volumes of revolution around the y-axis
- 5.3: Adding and subtracting volumes
- 5.4: Modelling with volumes of revolution
- Mixed exercise: 5
- Review exercise: 1
- Chapter 6: Matrices
- 6.1: Introduction to matrices
- 6.2: Matrix multiplication
- 6.3: Determinants
- 6.4: Inverting a 2 × 2 matrix
- 6.5: Inverting a 3 × 3 matrix
- 6.6: Solving systems of equations using matrices
- Mixed exercise: 6
- Chapter 7: Linear transformations
- 7.1: Linear transformations in two dimensions
- 7.2: Reflections and rotations
- 7.3: Enlargements and stretches
- 7.4: Successive transformations
- 7.5: Linear transformations in three dimensions
- 7.6: The inverse of a linear transformation
- Mixed exercise: 7
- Chapter 8: Proof by induction
- 8.1: Proof by mathematical induction
- 8.2: Proving divisibility results
- 8.3: Proving statements involving matrices
- Mixed exercise: 8
- Chapter 9: Vectors
- 9.1: Equation of a line in three dimensions
- 9.2: Equation of a plane in three dimensions
- 9.3: Scalar product
- 9.4: Calculating angles between lines and planes
- 9.5: Points of intersection
- 9.6: Finding perpendiculars
- Mixed exercise: 9
- Review exercise: 2
- Exam-style practice: Paper 1
- Answers
- Index
- Back Cover
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