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Following on from Introducing Pure Mathematics by Smedley and Wiseman, Further Pure Mathematics covers in one volume all the pure mathematics required by students taking further mathematics. It also provides the basics for mathematics encountered in Higher Education. A clear text is supported by worked examples, exercises, and examination questions. The two books will cover the requirements of Pure Mathematics as part of double-certification Mathematics for any examinations board. * Clearly written explanations and graded worked examples to help students when they are studying alone * Wide variety of exercises * Comprehensive selection of recent exam questions from all the major examination boards

Further Pure Mathematics

1. Complex numbers ; 2. Further trigonometry with calculus ; 3. Polar coordinates ; 4. Differential equations ; 5. Determinants ; 6. Vector geometry ; 7. Curve sketching and inequalities ; 8. Roots of polynomial equations ; 9. Proofs, sequences and series ; 10. Hyperbolic functions ; 11. Conics ; 12. Further integration ; 13. Numerical methods ; 14. Matrices ; 15. Further complex numbers ; 16. Intrinsic coordinates ; 17. Groups ; Answers ; Index