1: THE WHY AND WHEREFORE
2: DISCOVERY AND PROOF
3: THE SCIENCE OF ARITHMETIC
4: THE DEEPER WATERS OF ARITHMETIC
5: "NUMBERS, KNOWN AND UNKNOWN"
6: THE LAWS OF SPACE AND FORMS
7: THE DIMENSIONS OF THE HEAVENLY SPHERES
8: THE REVOLUTIONS OF THE HEAVENLY SPHERES
9: THE SCIENTIFIC REVOLUTION
10: THE WEDDING OF CURVE AND EQUATION
11: EXPLANATION VERSUS DESCRIPTION
12: VERTICAL MOTION
13: MOTION ON AN INCLINED PLANE
14: THE MOTION OF PROJECTILES
15: FROM PROJECTILE TO PLANET AND SATELLITE
16: DEDUCTIONS FROM THE LAW OF GRAVITATION
17: MORE LIGHT ON LIGHT
18: THE MATHEMATICS OF OSCILLATORY MOTION
19: OSCILLATIONS OF THE AIR
20: OLD FOES WITH NEW FACES
21: MATHEMATICAL OSCILLATIONS OF THE ETHER
22: THE DIFFERENTIAL CALCULUS
23: THE INTEGRAL CALCULUS
24: DIFFERENTIAL EQUATIONS-THE HEART OF ANALYSIS
25: FROM CALCULUS TO COSMIC PLANNING
26: NON-EUCLIDEAN GEOMETRIES
27: MATHEMATICS AND NATURE
INDEX