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The Brachistochrone problem... A classic example of the calculus of variations is to find the brachistochrone, defined as that smooth curve joining two points A and B (not underneath one another) along which a particle will slide from A to B under gravity in the fastest possible time. The path of the quickest descent is not a straight line but a brachistochrone curve. Johann Bernoulli investigated the Brachistochrone problem and offered a challenge, specifically aimed at his older Brother Jacob
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The Brachistochrone problem... A classic example of the calculus of variations is to find the brachistochrone, defined as that smooth curve joining two points A and B (not underneath one another) along which a particle will slide from A to B under gravity in the fastest possible time. The path of the quickest descent is not a straight line but a brachistochrone curve. Johann Bernoulli investigated the Brachistochrone problem and offered a challenge, specifically aimed at his older Brother Jacob
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Constantine Karatheodori (September 13, 1873 – February 2, 1950) was a Greek mathematician known for his contributions to real and complex analysis, the calculus of variations, and measure theory. He is considered to be the greatest Greek mathematician since antiquity. Karatheodori enjoyed extensive contacts in European academia and rubbed shoulders with many of the early 20th century’s greatest mathematicians and scientists. He corresponded with Albert Einstein, whom he helped with his theory o
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