A History of Mathematics From Mesopotamia to Modernity

146 A History ofMathematics the most significant event was Stevin’s propagandist work (La Dismeof 1585). Here thereisa possible ...

Understanding the‘ScientificRevolution’ 147 The question of innovation versus tradition was central to the major figures (and of ...

148 A History ofMathematics one afterwards adopted. Perhaps for this reason, you will find no extracts in Fauvel and Gray which ...

Understanding the‘ScientificRevolution’ 149 was inspired by the similar language of legal case studies.^12 It might be more reas ...

150 A History ofMathematics considered Descartestherevolutionary who had freed them from bondage to the tedious methods of the a ...

Understanding the‘ScientificRevolution’ 151 1.5 1 0.5 0 –0.5^0 –1 –1 –0.5 0.5 1 –1.5 0 0 Fig. 2Graph of a cubic curve. Europe, e ...

152 A History ofMathematics in these early stages of what later becomes the calculus, there is a general sense of exploration, o ...

Understanding the‘ScientificRevolution’ 153 C G K K D V F A R R P L M X P E J O N Fig. 3Kepler’s diagram from ‘Astronomia Nova’. ...

154 A History ofMathematics dialogue form, and full of artful reasoning and rhetoric. (Misleadingly, the Dover edition of the se ...

Understanding the‘ScientificRevolution’ 155 Appendix A (From Oresme,Quaestiones super Euclidem) Next we inquire whether an addit ...

156 A History ofMathematics For example: in the above the second part, which is a third of the first, differs from the first by ...

Understanding the‘ScientificRevolution’ 157 If I wish to find out to what class this curve belongs, I choose a straight line, as ...

158 A History ofMathematics Fig. 5Kepler’s picture of the circle, the straight line, and the infinitely small subdivisions. Theo ...

Understanding the‘ScientificRevolution’ 159 A BCC
Fig. 6Archimedes’ idea: ABC is the triangle whose base is the circumference a ...

160 A History ofMathematics Let us translate Euclid’s statement into algebra. You start with a quantitya. You subtract from thi ...

7. The calculus 1. Introduction By the help of this new Analysis Mr Newton found out most of the propositions in thePrincipia Ph ...

162 A History ofMathematics than their share of attention in history of mathematics courses, they are either ignored or grossly ...

TheCalculus 163 on extremely short intervals of time, so that the question of whether Leibniz received three communications abou ...

164 A History ofMathematics acknowledging the debt, its circulation was certainly more restricted. And yet the circle ofsavants ...

TheCalculus 165 3. The priority dispute We shall not discuss the shamefully bitter controversy as to the priority and independen ...