Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.
Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.
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
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
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