- Addresses a lack of familiarity with formal proof, a weakness observed among present-day mathematics students- Examines the idea of mathematical proof, the need for it and the technical and logical skills required
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1. Setting the Scene 2. Logic and Deduction 3. Mathematical Induction 4. Sets and Numbers 5. Order and Inequalities 6. Decimals 7. Limits 8. Infinite Series 9. The Structure of the Real Number System 10. Continuity 11. Differentiation 12. Functions Defined by Power Series 13. Integration 14. Functions of Several Variables