Many people seem to think that math is a stagnant, nite eld consisting of algebra and geometry (the lesser of the math evils), and the dreaded, unspeakable others: mainly trigonometry and calculus. While these are the without question the dominant topics covered in high school, any person who has pursued math beyond that required level learns that math is in fact, an in nite and expanding eld (pun intended). To illustrate this point, this paper will explore the relatively recent, burgeoning topic-within-a-topic of Ramsey
Theory, giving an entry level mathematical introduction to the subject.
Ramsey Theory is a branch of combinatorics, which is the eld of math involving the study of nite, discrete objects. In a general sense, Ramsey Theory is concerned with the preservation of certain properties of graphs under various circumstances. In more speci c terms, Ramsey Theory asks how many vertices a graph must have to contain a complete s-subgraph or for the graph's compliment to have a complete t-subgraph, where s and t are whole numbers. This can also be explained in terms of edge c...
Math is everywhere when most people first think of math or the word “Algebra,” they don’t get too excited. Many people say “Math sucks” or , “When are we ever going to use it in our lives.” The fact is math will be used in our lives quite frequently. For example, if we go watch a softball game all it is, is one giant math problem. Softball math can be used in many
Vertex-edge graph is a very interesting and important part of discrete mathematics. The graphs have group of shapes or objects called as vertices and other group whose elements are called as nodes or edges. The node or edge having the same vertex it’s starting and ending both vertices is known as self-loop or simply a loop. If there is one or more than one edge is connecting a given pairs of vertices then they are called as parallel type edges. Let us see tutoring of vertex-edge graph in this article.
Harris, John M., Jeffry L. Hirst, and Michael J. Mossinghoff. Combinatorics and Graph Theory. New York: Springer, 2008.
I believe that math ability is changeable, a point that needs emphasizing since a lot of
At each vertex, at least three faces must come together, because if only two came together they would collapse against o...
At this time, it was usual for all students at a university to attend courses on mathematics. These courses usually included the four mathematical sciences: arithmetic, geometry, astronomy and music. However, what w...
Barr, C., Doyle, M., Clifford, J., De Leo,T., Dubeau, C. (2003). "There is More to Math: A Framework for Learning and Math Instruction” Waterloo Catholic District School Board
O'Connor, JJ, and EF Robertson. "The Four Colour Theorem." The Four Colour Theorem. N.p., Sept. 1996. Web. 04 Feb. 2014.
Math; a skill required by all and loathed by many, can be tedious enough to lull a person to sleep. Algebra can be just as dull if not more so, and is much more difficult compared to ordinary math. For an individual with above average intelligence it may look primitive
* Question 6. Repeat Question 3 for Kruskal's instead of Prim's, using the following graph specifications, without regard to the start vertex:
someone came up with the thought that all the boring stuff like math could be
Math is a subject that can make both student and teacher want to pull out their hair. Trying to get a concept that is simple for a teacher, but may be agonizingly painful a student is just one of the many difficulties of teaching math. One could say that an individual might
Math is probably one of the only subjects that I have really struggled my whole life or more accurately, all my years being in school. Math has been such trouble and really challenging because I cannot really remember mathematical formulas and problem solving methods. It is actually a real struggle when taking a math test or exam, especially a final exam. Trying to remember all those methods and formulas, it makes it hard to think and focus on finishing up all the problems on time. Even though I am often am
Trigonometry basics are often taught in school either as a separate course or as part of a precalculus course. The trigonometric functions are pervasive in parts of pure mathematics and applied mathematics
What is math? If you had asked me that question at the beginning of the semester, then my answer would have been something like: “math is about numbers, letters, and equations.” Now, however, thirteen weeks later, I have come to realize a new definition of what math is. Math includes numbers, letters, and equations, but it is also so much more than that—math is a way of thinking, a method of solving problems and explaining arguments, a foundation upon which modern society is built, a structure that nature is patterned by…and math is everywhere.