... of the relationships between them. The book Exploring the Invisible, by Lynn Gamwell, explores how Pythagoras discovered a mathematical basis to music, and how mathematics is used in the creation of abstract art. Pythagoras found the fundamental musical laws, which relate to musical proportions, such as an octave, a ... feeling of finality, order, and harmony. The work of Leonardo da Vinci, as well as of many Greek artists used nature and the body to also represent the mathematics of the Golden Mean. This ratio comes up everywhere in the universe from plant life, and human proportions, ...

• Word Count: 3373
• Approx Pages: 13
• Grade Level: Undergraduate

... Ahmes of papyrus. Ahmes was the author of the Egyptian scribe "The Rhind papyrus-; it is one of the oldest mathematical documents in existence. The Greek Period (600B.C. - 499 A.D.) took mathematics far beyond the realm of counting and measuring time. The Greeks brought a variety of great minds to life, including Thales of Miletus, Archimedes, Apollonius ... helpful in advancing research and experimental efforts in sociology, psychology, and education, among others. Mathematicians are always contributing new ideas. There are many opportunities in mathematics. Mathematicians may choose to...

• Word Count: 1528
• Approx Pages: 6
• Grade Level: Undergraduate

... in the space (regardless the significance of the term at the time), people have spent uncalculated amount of efforts to make observations throughout the history. The major ancient Greek philosophers Plato and Aristotle, populated their worldview based on subjective insights, but falling short of progressive scientific demands. The gradual emerging from Ptolemy's geocentric theory (100- ... historical records, there was a renewed interest in Platonic and Pythagorean philosophy during approximately 200BC. Both philosophies are characterized with the belief of a perfect system and see mathem...

• Word Count: 620
• Approx Pages: 2
• Grade Level: Undergraduate

Pappus of Alexandria. Pappus, regarded as an important Greek mathematician, was born in Alexandria in Egypt. His interest in mathematics is said to have began from when he observed a solar eclipse on October 18, 320 and then since has focused his work on geometry. Everything associated with Pappus mathematical mind ... mastered all the major available mathematical techniques. He writes well, shows great clarity of thought and the Mathematical Collection is a work of very great historical importance in the study of Greek geometry Other works which could have been written by Pappus include one...

• Word Count: 647
• Approx Pages: 3
• Grade Level: Undergraduate