Download Mathematical Footprints: Discovering Mathematics Everywhere by Theoni Pappas PDF

By Theoni Pappas

This trip around the spectrum of human actions takes an inventive examine the position arithmetic has performed considering the fact that prehistoric instances. From its many makes use of in medication and its visual appeal in art to its styles in nature and its principal position within the improvement of pcs, arithmetic is gifted in a fun-to-read, nonthreatening manner.

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For most individuals its power exceeds what they can use or handle. Does this stop the never ending quest for more computer power, more computer memory, more computer uses? No. As in the Greek myth, when Pandora’s box was opened, it was impossible to return its contents. What does the 21st century hold in the realm of computers? Look for mathematics to unleash the possibilities of the quantum computer, the molecular computer, and the optical computer. Look for fuzzy logic to be tied to artificial intelligence and soft computing which will revolutionize how and what tasks a computer can perform.

Hence, the Big Bang occurred and the universe expanded in only three spatial dimensions. It is continually expanding. The other six dimensions remained entwined and encased in compact geometries that measure 10-33 cm, across. The minuteness of these things explains the existence of the many subatomic particles that are continually being discovered by atom smashers. Furthermore, these strings vibrate and produce frequency, much as a string instrument does. The notes produced by the vibrations are believed to define all forms of matter and energy.

Such a geometry is consistent with a geometry that exists on a sphere, where all lines are great circles. On a sphere any two great circles always intersect in two points and thus no lines are parallel. In addition, on a sphere the sum of the angles of a triangle total more than 180˚ and as a triangle’s area increases the sum of its angles increase. 4 Mathematically speaking, hyperspace is the fourth dimension—the spatial dimension after length, width and depth. In physics and as described by Einstein, time is often referred to as the fourth dimension.

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