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Intro; About the Author; Preface of the Author; Acknowledgements; Preface of the Editors; Contents; 1 An Attunement; 1.1 What is it All About?; 1.2 Slope, Derivative, and Differential Quotient; 1.2.1 The Product Rule; 1.2.2 The Quotient Rule; 1.2.3 The Chain Rule; 1.2.4 The Rule of Differentiating the Inverse Function; 1.3 Area, Integral, and Antidifferentiation; 1.4 Indivisibles and Infinitesimals; 1.5 ... and What is it Good For?; 2 'On ye Shoulders of Giants'; 2.1 Who were the Giants?; 2.2 England in the 17th Century; 2.3 John Wallis; 2.4 Isaac Barrow
2.5 France and the Netherlands in the 17th Century2.5.1 France on its Way to Absolutism; 2.5.2 The Netherlands and the Persistent Conflict with Spain and England; 2.6 Blaise Pascal; 2.7 Christiaan Huygens; 3 The Warriors Grow Up; 3.1 The Physicist: Isaac Newton; 3.1.1 Childhood and Youth; 3.1.2 The Lonely Student; 3.1.3 The Way to the Infinitesimal Calculus; 3.1.4 The 'anni mirabiles'; 3.1.5 The Professor in the Lucasian Chair; 3.1.6 Till Death: The Fight with Robert Hooke; 3.2 The Lawyer: Gottfried Wilhelm Leibniz; 3.2.1 Childhood and Youth; 3.2.2 The Student
3.2.3 The Young Doctor Utriusque Iuris3.2.4 Lawyer and Diplomat; 4 The Cold War Begins; 4.1 The Mathematician: Leibniz in Paris; 4.1.1 The First Journey to London; 4.1.2 The Aftermath of the Pell Affair; 4.1.3 Leibniz Conquers Mathematics; 4.2 The Priority Quarrels of Huygens; 4.2.1 The Quarrel Concerning the Rectification of Curves; 4.2.2 Turbulent Times: Hooke versus Huygens; 4.2.3 Atmospheric Disturbances; 4.3 Times are Changing; 4.3.1 Leibniz's Letter of 30th March 1675 and its Immediate Consequence; 4.3.2 Analysis Becomes Calculus; 4.3.3 Leibniz Gains a Companion
4.4 De quadratura arithmetica5 The Apparent Relaxation; 5.1 The Beginning of the Correspondence: Epistola prior; 5.2 The Second Journey to London; 5.3 The Correspondence Ends: Epistola posterior; 5.4 The Front Line in the Year 1677; 6 The Aftermath of the Principia Mathematica; 6.1 The Warrior's Careers up to 1687; 6.1.1 The Privy Councillor Leibniz
Stranded in Hanover; 6.1.2 Isaac Newton
The Hermit in Cambridge; 6.2 Philosophiae Naturalis Principia Mathematica; 6.2.1 The Prehistory; 6.2.2 The Formation Phase; 6.2.3 Leibniz in Newton's Thought; 6.2.4 The Principia Published
6.2.5 Mr Leibniz Lays a Fuse6.3 The Reception of the Principia; 6.3.1 The Situation in England; 6.3.2 Huygens as Recipient; 6.3.3 Leibniz as Recipient; 6.3.4 Newton's Attack on Leibniz's Tentamen; 6.3.5 The First Reaction in France; 6.4 The Scholium Dedicated to Leibniz; 7 The War is getting hot; 7.1 Newton in a Political Crisis; 7.2 A Friend Appeared; 7.3 Isaac Newton and his Monkey; 7.3.1 A Strange Couple; 7.3.2 A New Crisis; 7.3.3 Leibniz Back in Newton's Thoughts; 7.3.4 The Monkey Bites; 7.4 Wallis, Flamsteed and the Way Into the Mint; 7.4.1 Wallis Jars on Newton's Nerves
2.5 France and the Netherlands in the 17th Century2.5.1 France on its Way to Absolutism; 2.5.2 The Netherlands and the Persistent Conflict with Spain and England; 2.6 Blaise Pascal; 2.7 Christiaan Huygens; 3 The Warriors Grow Up; 3.1 The Physicist: Isaac Newton; 3.1.1 Childhood and Youth; 3.1.2 The Lonely Student; 3.1.3 The Way to the Infinitesimal Calculus; 3.1.4 The 'anni mirabiles'; 3.1.5 The Professor in the Lucasian Chair; 3.1.6 Till Death: The Fight with Robert Hooke; 3.2 The Lawyer: Gottfried Wilhelm Leibniz; 3.2.1 Childhood and Youth; 3.2.2 The Student
3.2.3 The Young Doctor Utriusque Iuris3.2.4 Lawyer and Diplomat; 4 The Cold War Begins; 4.1 The Mathematician: Leibniz in Paris; 4.1.1 The First Journey to London; 4.1.2 The Aftermath of the Pell Affair; 4.1.3 Leibniz Conquers Mathematics; 4.2 The Priority Quarrels of Huygens; 4.2.1 The Quarrel Concerning the Rectification of Curves; 4.2.2 Turbulent Times: Hooke versus Huygens; 4.2.3 Atmospheric Disturbances; 4.3 Times are Changing; 4.3.1 Leibniz's Letter of 30th March 1675 and its Immediate Consequence; 4.3.2 Analysis Becomes Calculus; 4.3.3 Leibniz Gains a Companion
4.4 De quadratura arithmetica5 The Apparent Relaxation; 5.1 The Beginning of the Correspondence: Epistola prior; 5.2 The Second Journey to London; 5.3 The Correspondence Ends: Epistola posterior; 5.4 The Front Line in the Year 1677; 6 The Aftermath of the Principia Mathematica; 6.1 The Warrior's Careers up to 1687; 6.1.1 The Privy Councillor Leibniz
Stranded in Hanover; 6.1.2 Isaac Newton
The Hermit in Cambridge; 6.2 Philosophiae Naturalis Principia Mathematica; 6.2.1 The Prehistory; 6.2.2 The Formation Phase; 6.2.3 Leibniz in Newton's Thought; 6.2.4 The Principia Published
6.2.5 Mr Leibniz Lays a Fuse6.3 The Reception of the Principia; 6.3.1 The Situation in England; 6.3.2 Huygens as Recipient; 6.3.3 Leibniz as Recipient; 6.3.4 Newton's Attack on Leibniz's Tentamen; 6.3.5 The First Reaction in France; 6.4 The Scholium Dedicated to Leibniz; 7 The War is getting hot; 7.1 Newton in a Political Crisis; 7.2 A Friend Appeared; 7.3 Isaac Newton and his Monkey; 7.3.1 A Strange Couple; 7.3.2 A New Crisis; 7.3.3 Leibniz Back in Newton's Thoughts; 7.3.4 The Monkey Bites; 7.4 Wallis, Flamsteed and the Way Into the Mint; 7.4.1 Wallis Jars on Newton's Nerves