이미 소장하고 있다면 판매해 보세요.
|
1. Introduction 1
2. The Spirit of Mathematics 6 3. Infinity 13 4. How Steep is a Curve? 20 5. Differentiation 25 6. Greatest and Least 32 7. Playing with Infinity 38 8. Area and Volume 45 9. Infinite Series 54 10. 'Too Much Delight' 60 11. Dynamics 64 12. Newton and Planetary Motion 70 13. Leibniz's Paper of 1684 78 14. 'An Enigma' 87 15. Who Invented Calculus? 93 16. Round in Circles 100 17. Pi and the Odd Numbers 106 18. Calculus under Attack 112 19. Differential Equations 118 20. Calculus and the Electric Guitar 125 21. The Best of all Possible Worlds? 132 22. The Mysterious Number e 139 23. How to Make a Series 144 24. Calculus with Imaginary Numbers 149 25. Infinity Bites Back 154 26. What is a Limit, Exactly? 162 27. The Equations of Nature 167 28. From Calculus to Chaos 174 Further Reading 183 References for Quotations 185 Picture Credits 187 Index 189 |
David Acheson