Further Pure Mathematics

Description:
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 help students when they are studying alone. This book includes a wide variety of exercises and comprehensive selection of recent exam questions from all the major examination boards.

Table of Contents:
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