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Preface; Introduction: calculus and analysis; 1. Numbers; 2. Sequences; 3. Series; 4. Continuity; 5. Limits and continuity; 6. Differentiation; 7. Integration; 8. Power series; Appendix 1. Sets, functions and proofs; Appendix 2. Standard derivatives and primitives; Appendix 3. The first 1,000 decimal places of the square root of 2, e and pi; Appendix 4. Solutions to the problems; Index.
David Brannan is Professor, Dean and Director of Studies of the Maths & Computing Faculty at the Open University