""Front Cover""
""Mathematical Methods in Science""
""Copyright Page""
""Contents""
""INTRODUCTION""
""CHAPTER 1. From the History of Astronomy: Measurement and Successive Approximation""
""SECTION 1 MEASUREMENT""
""1 The Tunnel""
""2 Measuring: Triangulating""
""3 How Far Away is the Moon?""
""4 Why Teach Triangulation?""
""SECTION 2 ASTRONOMICAL MEASUREMENTS""
""1 Aristarchus of Samos""
""2 Radius of Earth: Eratosthenes""
""3 Rival Cosmologies""
""4 The Orbit of Venus""
""5 Tycho Brahe and Kepler""
""6 The Mars Year""
""7 The Orbit of Mars"" ""5 (aฬโฌ?) Aฬยท (aฬโฌ?) = (+)""""6 Von Mises' Flight Triangle""
""CHAPTER 3. From the History of Dynamics""
""SECTION 1 GALILEO""
""1 Heavier Bodies Fall Faster?""
""2 Not ""Why?"", But ""How?""""
""3 How do Heavy Bodies Fall?""
""4 Dynamics of the Inclined Plane""
""5 Conservation of Energy""
""6 Law of Inertia""
""7 A Cannon Ball's Trajectory""
""SECTION 2 NEWTON""
""1 Apples, Cannon Balls, and the Moon""
""2 Never Smoke Without Fire""
""3 That the Planets do Accelerate Towards the Sun""
""4 What is the Law of Universal Gravitation?"" ""5 Uniform Circular Motion: Hamilton's Hodograph""""6 On Newton's Discovery of the Law of Universal Gravitation""
""7 Scientific Attitude: Verification""
""8 Hindsight and Foresight""
""SECTION 3 THE PENDULUM""
""1 The Dimensions Test""
""2 Simple Pendulum's Time of Swing""
""3 Determination of g by Pendulum Experiment""
""4 The Conical Pendulum""
""SECTION 4 ESCAPE VELOCITY""
""1 Go-Around Velocity""
""2 Apropos Go-Away Velocity""
""3 The Force of Gravity""
""4 That Kepler's Third Law is a Consequence of Newton's Law of Gravitation""
""5 Planetary Mass""
""6 Go-Away Velocity""