Pure mathematics

There are three main branches of study under the umbrella of mathematics including, operational research, statistics and mathematics itself. Operational research (OR) is also known as management science and focuses on the analysis of decision-making processes - especially in large companies or the military. Well-known areas include the analysis of voting systems or game theory. Statistics is driven by real-world problems, mostly issues that can’t be broken down into simpler parts and statisticians can make difficult decisions by carefully examining data. Statistics, as an example, allows the effectiveness of a product, or a new drug, or the predictions of flooding easier to determine. Mathematics is at the heart of the world that we know,…

Mathematical biology is the use of mathematical models and concepts to help understand the biological world and the processes of disease. As of today, it is one of the fastest growing research areas in mathematics. Mariel Vazquez is a mathematical biologist and specializes in the applications of topological methods and computational tools to the study of DNA rearrangements, DNA and protein interactions, and DNA packing. Born and raised in Mexico to engineer parents and grandparents, Vazquez…

Mathematics is the motor which drives the sciences and is essential to many other subjects. The sciences approach the truth but it is only through the purity of mathematics that we can arrive at complete truth. I am particularly interested in contributing to this research and furthering my understanding of the complex field of mathematics. My inspiration is Alan Turing. I am currently reading the cleverly named 'Alan Turing the Enigma' by Andrew Hodges and marvel at his contributions to the…

A problem that Lockhart identifies about mathematics is that is is not being treated as an art. Modern mathematics is basically memorizing formulas, algorithms, and definitions. People need to see that, “ Mathematics is viewed by the culture as some sort of tool for science and technology. Everyone knows that poetry and music are for pure enjoyment and for uplifting and enrnoblingthe human spirit, but no, math is important.” (Lockhart 32) Poetry and music are an art and treated as a type of art,…

idea of Greek mathematics as a philosophy is a key concept to the history of science. Many of the works of Greek mathematicians such Archimedes Euclid and Plato have fueled the formation of the most important Greek mathematical traditions of the early centuries till this day. There are two traditions of mathematics presented by Greek mathematicians: Practical mathematics and theoretical mathematics or better called abstract. These two fields differ so vastly from one another as they must be…

The first judgement is analytical (a priori knowledge) which is proven by pure reason and definitions instead of gathering facts. For example, a salmon is a fish; therefore, since salmon is a type of fish the example is known to be analytical. The second judgement is synthetic (a posteriori knowledge)--presuppositions of science by going out and gathering facts. An example of synthetic is “it often rains in Vancouver” while yes, it does rain in Vancouver, it is not always raining or found in the…

adulthood. He had 2 spouses. Salome Abigail Gsell from 1776-1783, and Katharina Gsell from 1734-1773. Leonhard was a Swiss mathematician and physicist, which helped in him being one of the founders in pure mathematics. Euler contributed to analytic geometry and trigonometry. Euler's work also revolutionized the fields of calculus, geometry, and number theory. In Euler’s younger years, his father wanted him to be a clergyman. Which is a male priest, minister, or religious leader.Euler gained…

In Bertrand Russell's words: “Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show.” Math is a language of logic. It is a disciplined, organized way of thinking. There is a right answer; there are rules that must be followed. More…

INTERVIEW WITH ALBERT EINSTEIN Q:Tell me a little about your background. A: I was born to Jewish parents in Ulm, Germany, on March 14, 1879. I was a shy and curious kid.I did not do well in school, but I did take an interest in mathematics and science. While at college, I studied physics and math. After graduating, I worked in a government office. Meanwhile, I continued studying physics on my own. Q: Which area of science did you work in? A: I was in Theoretical Physics. My research was…

So many people have different interpretations of mathematics, in elementary school we learn that if you have 5 apples and your neighbor takes 3 away you are only left with 2. In middle school we were shown that there are 360 degrees in a circle and a numerous variety of rules and theorems that seemed only relevant for that section. We learned about sine, cosine, and tangent, which were chiseled in our brain. In high school we were introduced to things I didn’t know existed, such as derivatives,…