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The Mechanical Universe

Integration. Newton and Leibniz sprint for the calculus. Winning the longest race in scientific history - more than 2000 years, from the Golden Age of Greece to the end of the seventeenth century in Europe - Newton and Leibniz separately arrived at the conclusion that differentiation and integration are inverse processes. Their exciting intellectual discovery, dramatically rerun to reflect the times, ended in an extremely controversial dead heat. (from themechanicaluniverse.org)

Lecture 07 - Integration

Go to The Mechanical Universe Home or watch other lectures:

Lecture 01 - Introduction

Lecture 02 - The Law of Falling Bodies

Lecture 03 - Derivatives

Lecture 04 - Inertia

Lecture 05 - Vectors

Lecture 06 - Newton's Laws

Lecture 07 - Integration

Lecture 08 - The Apple and the Moon

Lecture 09 - Moving in Circles

Lecture 10 - Fundamental Forces

Lecture 11 - Gravity, Electricity, Magnetism

Lecture 12 - The Millikan Experiment

Lecture 13 - Conservation of Energy

Lecture 14 - Potential Energy

Lecture 15 - Conservation of Momentum

Lecture 16 - Harmonic Motion

Lecture 17 - Resonance

Lecture 18 - Waves

Lecture 19 - Angular Momentum

Lecture 20 - Torques and Gyroscopes

Lecture 21 - Kepler's Three Laws

Lecture 22 - The Kepler Problem

Lecture 23 - Energy and Eccentricity

Lecture 24 - Navigating in Space

Lecture 25 - From Kepler to Einstein

Lecture 26 - Harmony of the Spheres

Lecture 27 - Beyond the Mechanical Universe

Lecture 28 - Static Electricity

Lecture 29 - The Electric Field

Lecture 30 - Potential and Capacitance

Lecture 31 - Voltage, Energy, and Force

Lecture 32 - The Electric Battery

Lecture 33 - Electric Circuits

Lecture 34 - Magnetism

Lecture 35 - The Magnetic Field

Lecture 36 - Vector Fields and Hydrodynamics

Lecture 37 - Electromagnetic Induction

Lecture 38 - Alternating Currents

Lecture 39 - Maxwell's Equations

Lecture 40 - Optics

Lecture 41 - The Michelson Morley Experiment

Lecture 42 - The Lorentz Transformation

Lecture 43 - Velocity and Time

Lecture 44 - Energy, Momentum, Mass

Lecture 45 - Temperature and the Gas Laws

Lecture 46 - The Engine of Nature

Lecture 47 - Entropy

Lecture 48 - Low Temperatures

Lecture 49 - The Atom

Lecture 50 - Particles and Waves

Lecture 51 - From Atoms to Quarks

Lecture 52 - The Quantum Mechanical Universe