Sold Out
Book Categories |
Preface | vii | |
Introduction | 1 | |
Chapter 1. | Greek Mathematics | 11 |
1.0 | Introduction | 11 |
1.1 | The influence of Greek mathematics in the seventeenth century | 14 |
1.2 | A brief chronology of Greek mathematics | 15 |
1.3 | Early Greek mathematics and the physical world | 18 |
1.4 | The axiomatisation of Greek mathematics | 25 |
1.5 | The theory of proportion and means | 27 |
1.6 | The squaring of the circle | 30 |
1.7 | The method of exhaustion | 34 |
1.8 | The discovery method of Archimedes | 46 |
1.9 | Curves, normals, tangents and curvature | 51 |
Chapter 2. | The Transition to Western Europe | 60 |
2.0 | Introduction | 60 |
2.1 | On Hindu mathematics | 61 |
2.2 | The Arabs | 66 |
2.3 | The influence of Aristotle | 69 |
2.4 | The continuum, indivisibles and infinitesimals | 71 |
2.5 | The growth of kinematics in the West | 75 |
2.6 | The latitude of forms | 81 |
2.7 | The function concept in the fourteenth and fifteenth centuries | 87 |
2.8 | Conclusion | 89 |
Chapter 3. | Some Centre of Gravity Determinations in the Later Sixteenth Century | 90 |
3.0 | Introduction | 90 |
3.1 | Francesco Maurolico (1494-1575) | 91 |
3.2 | Federigo Commandino (1509-1575) | 94 |
3.3 | Simon Stevin (1548-1620) | 96 |
3.4 | Luca Valerio (1552-1618) | 101 |
Chapter 4. | Infinitesimals and Indivisibles in the Early Seventeenth Century | 108 |
4.1 | Johann Kepler (1571-1630) | 108 |
4.2 | Indivisibles in Italy | 116 |
4.3 | Bonaventura Cavalieri (1598-1647) | 122 |
4.4 | Gregoire de Saint-Vincent (1584-1667) | 135 |
Chapter 5. | Further Advances in France and Italy | 149 |
5.0 | Introduction | 149 |
5.1 | The arith metisation of integration methods | 151 |
5.2 | First investigations of the cycloid | 156 |
5.3 | Another integration method | 162 |
5.4 | The concept of tangent | 163 |
5.5 | The composition of motions | 174 |
5.6 | The link between differential and integral processes | 177 |
5.7 | Evangelista Torricelli: tangent and quadrature | 182 |
Chapter 6. | Consolidation of Gains: France, England and the Low Countries | 195 |
6.0 | Introduction | 195 |
6.1 | Blaise Pascal (1623-1662) | 196 |
6.2 | Infinitesimal methods in England | 205 |
6.3 | Infinitesimal methods in the Low Countries | 214 |
6.4 | The rectification of arcs | 223 |
6.5 | James Gregory (1638-1675) | 228 |
6.6 | Isaac Barrow (1630-1677) | 239 |
Chapter 7. | Epilogue: Newton and Leibniz | 253 |
7.0 | Introduction | 253 |
7.1 | Isaac Newton (1642-1727) | 255 |
7.2 | Gottfried Wilhelm Leibniz (1646-1716) | 268 |
Bibliography | 291 | |
Index | 299 |
Login|Complaints|Blog|Games|Digital Media|Souls|Obituary|Contact Us|FAQ
CAN'T FIND WHAT YOU'RE LOOKING FOR? CLICK HERE!!! X
You must be logged in to add to WishlistX
This item is in your Wish ListX
This item is in your CollectionThe Orgins of the Infinitesimal Calculus
X
This Item is in Your InventoryThe Orgins of the Infinitesimal Calculus
X
You must be logged in to review the productsX
X
X
Add The Orgins of the Infinitesimal Calculus, , The Orgins of the Infinitesimal Calculus to the inventory that you are selling on WonderClubX
X
Add The Orgins of the Infinitesimal Calculus, , The Orgins of the Infinitesimal Calculus to your collection on WonderClub |