Edexcel AS and A level Further Mathematics Core Pure Mathematics Book 1/AS Textbook + e-book
1st Edition
Published on 26. September 2017
256 pages
978-1-292-20725-4 (ISBN)
Description
Exam Board: EdexcelLevel: AS and A levelSubject: Further MathematicsFirst teaching: September 2017First exams: Summer 2018With over 1.3 million copies sold of the previous edition, Pearsons 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. FREE additional online content to support your independent learning, including full worked solutions for every question in the book (SolutionBank) and GeoGebra interactives. Includes access to an online digital edition (valid for 3 years once activated). Includes worked examples with guidance, lots of exam-style questions, a practice paper, and plenty of mixed and review exercises.
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Greg Attwood | Ian Bettison | Jack Barraclough
Pearson Edexcel AS and A level Further Mathematics Core Pure Mathematics Book 1/AS Textbook + e-book
Book
09/2017
Pearson Education Limited
€53.43
Shipment within 10-20 days
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
