Cover; Book title; Copyright; Contents; Getting the most from this book; 1 Investigation of curves; 1.1 Equations and properties of curves; 1.2 Derivatives of curves; 1.3 Limiting behaviour; 1.4 Envelopes and arc lengths; 2 Exploring differential equations; 2.1 Tangent fields; 2.2 Analytical solutions of differential equations; 2.3 Numerical solutions of differential equations; 3 Number theory; 3.1 Programming; 3.2 Prime numbers; 3.3 Congruences and modular arithmetic; 3.4 Diophantine equations; Answers

Summary

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