Because of the Renaissance, lots of scholars and translators did a lot of research on some ancient works written by Greek or Roman for the revival of the ancient culture, which eventually leads to a number of famous basic astronomical theorems or principles such as heliocentric theory and Kepler's law of planetary motion. ... For example, the discovery of logarithm just in time refined Johannes Kepler's theorem. ... Element is a book on geometry and number theory written by a Greek mathematician, Euclid of Alexandria, who is also known as the Father of Geometry. ... Euclid's E...

• Word Count: 1699
• Approx Pages: 7
• Has Bibliography
• Grade Level: Undergraduate

There he received a good understanding of basic mathematics, studying differential and integral calculus, analytic geometry, and the foundations of analysis. ... In the summer of 1854, Dedekind qualified as a university lecturer and began lecturing on the mathematics of probability as well as on geometry with parallel treatment of analytic and projective methods. ... Newton had discovered combined infinite sums (infinite series), the binomial theorem for fractional exponents, and the algebraic expression of the inverse relation between tangents and areas, methods we know today as calculus. ...

• Word Count: 2467
• Approx Pages: 10
• Has Bibliography
• Grade Level: Undergraduate

Every school student will recognize his name as the originator of that theorem which offers many cheerful facts about the square on the hypotenuse. ... Revolutionizing music, Pythagoras" findings generated theorems and standards for musical scales, relationships, instruments and creative formation. ... Based on Pythagorean harmonic relationships and Pythagorean geometry, bell-makers began constructing bells with the principal pitch prime tone, and hum tones consisting of a fourth, a fifth, and the octave. ...

• Word Count: 1354
• Approx Pages: 5
• Grade Level: Undergraduate

On David Hume and Rene Descartes "There are more things in heaven and Earth than dreamt of in your philosophy" (Shakespeare, 211). This quote from William Shakespeare's The Tragedy of Hamlet, Prince of Denmark presents quite an idea. It suggests that in our modern philosophy we have not even bega...

• Word Count: 1541
• Approx Pages: 6
• Has Bibliography
• Grade Level: Undergraduate