Combinatorics Essays

To become a researcher in the field of Computer Science is my long term career goal. I strongly believe, pursuing a graduate program will be the crucial step towards fulfilling my career aspiration. Growing up, I had the privilege of learning computer fundamentals in my grade school and my father was kind enough to let me use his work computer for both my homework and play time. Over the course of years, I have journeyed past the “Hello World!” and programming macros in Excel and few advanced programming

My goal in the future is to earn a Ph.D. in Mathematics, specialized in combinatorics and/or algebra and do more research in these areas. However, my ultimate goal is to use the logic of algebra and combinatorics, combine with the understanding of neuroscience to explore one of the most complex systems existed for million years - the brain. Even though at St. Olaf College, I have been involved in both Mathematics and Neuroscience research, my experience in integrating the two areas is still limited

I am applying to the mathematics PhD program at the University of California, Berkeley. I am an undergraduate mathematics major, and I have taken many advanced and graduate level courses; I have done uniformly well in all of them, and nearly always at the top of the class. Overall I have maintained a subject GPA of 7.81/8 and am the top mathematics student of my batch. Throughout my studies I have tried to explore as many areas of mathematics as possible to find what I enjoy most; based on what I

The NCERT, being apex organisation in school education, has constantly been engaged in improving the quality of education through various academic programmes such as development of curriculum, textbooks, supplementary books, educational kits, teachers’ handbooks, manuals, e-resources and capacity building of Key Resource Teachers, Teacher Educators, State Functionaries. It is contributing significantly in Sarva Shiksha Abhiyan (SSA), Rashtriya Madhyamik Shiksha Abhiyan (RMSA), Information and Communication

challenge myself and I always feel very accomplished after finding that I am able to solve new problems. By attending the summer courses of Rutgers Young Scholars Program in Discrete Mathematics (RYSP), I was introduced to many new areas such as combinatorics, number theory, cryptography, graph theory, probability, algorithms, machine learning, problem-solving, and general mathematics. These college-level courses were challenging, and I was able to broaden my horizon greatly over the course of a mere

Paul Erdős, one of the most famed mathematicians of the 20th century, lived quite a remarkable and unique life. Perhaps second only to Leonhard Euler as the most prolific mathematician of all time, Erdős was born in 1913 to a Jewish family and raised in Budapest, Austria-Hungary. Just days before his birth his two sisters died of scarlet fever. Unfortunately, Paul’s early hardships continued when his father was taken away to a Soviet gulag leaving him with just his mother who had to work full-time

Sudoku has been a very widely used and popular game ever since 2005. In order to solve a sudoku puzzle, the player needs to use both logic, as well as trial-and-error. Whether we notice it or not, there is a lot of math involved in the puzzle: combinatorics which is used in counting the valid sudoku grids, group theory used to delineate the concept of when two grids are equal, and computational complexity with thoughts to solving sudoku puzzles. Overview The game as it is now was invented by an

Ronald Graham was born in Taft California, October 31, 1935. Robert Graham is a mathematician who is fascinated with all kinds of mathematical curiosities. He has a large collection of mathematical puzzles, geometry puzzles, Rubik's cube's, juggling balls, and other curiosities. For instance “[a]s Grant chats with the visitor, his hand moves across his desk toward a blue plastic object shaped like a cigar flattened on one side. Catching the visitor's eye, Graham gives the object an offhand flick

The logical transformation in the Renaissance started in space science with crafted by Brahe and Kepler. It basically designed material science, with Newton's improvement of analytics and established flow, and it at that point bit by bit spread into different regions of science. In sharp difference, the new transformation will happen all the while in practically every territory of science and arithmetic. This is totally uncommon. Never have such a significant number of insurgencies happened at the

visualization improved mathematics performance of students significantly. Visual mathematics also develops higher-order thinking skills and creativity (Boaler, 2016). Visualization can be seen not only in geometry and graph theory but also to combinatorics, mathematics logic and other fields of mathematics because they all involve processes and properties that require visual reasoning (Rahim & Siddo, 2009) and most of their content can be communicated through images (Alsina & Nelson,