A classic single-volume textbook, popular for its direct and straightforward approach. Understanding Pure Mathematics starts by filling the gap between GCSE and A Level and builds on this base for candidates taking either single-subject of double-subject A Level.Table of Contents: 1. Functions ; 2. Vectors ; 3. Coordinate geometry ; 4. Trigonometry ; 5. Algebra I ; 6. Matrices ; 7. Permutations and combinations ; 8. Series and binomial theorem ; 9. Probability ; 10. Calculus I: differentiation ; 11. Sketching functions I ; 12. Calculus II: integration ; 13. Calculus III: further techniques ; 14. Sketching functions II ; 15. Trigonometry II ; 16. Coordinate geometry II ; 17. Three-dimensional work: vectors and matrices ; 18. Algebra II ; 19. Exponential and logarithmic functions ; 20. Calculus IV: further integration ; 21. Numerical methods