Best Math 1332 April 2, 2014 Sir William Rowan Hamilton was born on August 4, 1805 in Dublin, Ireland. His remarkable intelligence developed at the early age of 3, and he made many successful contributions in math and science. Hamilton excelled in the dynamics of the math and science world such as geometrical optics, quaternions, Cayley-Hamilton theorem, and Hamiltonian mechanics. On April 23, 1827 while studying geometrical optics Hamilton discovered The Theory System of Rays. The Theory
Since hundred years ago, when people started to make maps to show distinct regions, such as states or countries, the four color theorem has been well known among many mapmakers. Because a mapmaker who can plan very well, will only need four colors to color the map that he makes. The basic rule of coloring a map is that if two regions are next to each other, the mapmaker has to use two different colors to color the adjacent regions. The reason is because when two regions share one boundary can never
Graph Theory: The Four Coloring Theorem "Every planar map is four colorable," seems like a pretty basic and easily provable statement. However, this simple concept took over one hundred years and involved more than a dozen mathematicians to finally prove it. Throughout the century that many men pondered this idea, many other problems, solutions, and mathematical concepts were created. I find the Four Coloring Theorem to be very interesting because of it's apparent simplicity paired with it's
They have used computer technology to prove the conjecture. The calculation itself goes on for about 1200 hours. The staggering length of the computation of the proof is what creates some controversy in the mathematical world. The Appel-Haken Theorem is based on numerous assumptions, “that there is an overwhelmingly great probability that their method of proof must succeed.” [3] It assumes that the theory itself is correct, but the theory itself is also an assumption. You can see why this issue
globalization has connected everyone more than we think. Graph theory has a wide range of applications as we have discovered. These have ranged from the famous Leonhard Euler’s solving of The Seven Bridges of Königsberg problem, to the classic four color theorem, and finally to the current focuses on applications within the realm of computer and data science. With all of these uses, it is certainly clear that graph theory is a subject of modern mathematics that is here to stay. Not only are there enormous
Mathematics starts with counting. It is not reasonable, however, to suggest that early counting was mathematics. Only when some record of the counting was kept and, therefore, some representation of numbers occurred can mathematics be said to have started. In Babylonia mathematics developed from 2000 BC. Earlier a place value notation number system had evolved over a lengthy period with a number base of 60. It allowed arbitrarily large numbers and fractions to be represented and so proved to be the