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Mathematicians
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What is Mathematicians?

Mathematicians as a subject of study appears across a range of academic disciplines, including mathematics, history of science, education, and the philosophy of knowledge. Students are drawn to this topic because it bridges technical content with broader intellectual history, asking not just what mathematical discoveries were made but who made them and under what circumstances. Figures like Srinivasa Ramanujan appear as compelling case studies precisely because their lives illuminate how mathematical genius develops, how it is recognized, and how social context shapes a scholar's opportunities and legacy.

The papers archived under this topic take several distinct approaches. Some focus on the historical development of mathematical ideas, examining concepts such as Zeno's paradoxes or fractals through the thinkers who shaped them. Others explore the intersection of mathematics with other fields, including geometry's role in sculpture and art, or the relationship between mathematical frameworks and systems theory. A smaller group of papers addresses institutional and social dimensions, such as the role of professional mathematical societies and the educational conditions that support or hinder mathematical achievement among different student populations.

A strong essay on mathematicians benefits from a clearly scoped thesis that commits to either a biographical, conceptual, or sociological angle rather than attempting all three at once. Evidence drawn from primary mathematical writings, historical scholarship, or documented biographical detail carries the most weight. The most common pitfall is treating a mathematician's life as a simple heroic narrative, which tends to flatten the intellectual and cultural complexity that makes the subject genuinely worth analyzing.

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Essay Doctorate
The importance of order of operations in mathematics
The article is a general paper on mathematics questions on order of operations, numbers, four steps for solving an equation, and four steps for solving a problem. The first two sections examine the importance of order of operations and the difference among integers, real numbers, rational numbers, and irrational numbers. The second portion evaluates the four steps for solving an equation and the four steps for solving a problem.
Paper High School
Proof: mental illness and genius in John Madden's film
This is a three page paper. It is about the movie Proof directed by John Madden and starring Gwyneth Paltrow, Anthony Hopkins, and Jake Gyllenhaal. The film is about mathematical genius father and daughter, who also deal with mental illness. The father dies, and The daughter suspects she might be going crazy. The title refers to a mathematical proof that she wrote, but which at first no one believes is hers. Whether this is due to gender bias or mental illness bias remains to be seen.
Essay Undergraduate
Fauvism, Expressionism, and spirituality in early modern art
This essay is a series of short responses about various pieces of modern art. Some comparative analyses of both artists and works are offered here. There is specific emphasis on German Expressionism, Purism, Fauvism, and Dada art. Aspects such as physical reality versus emotional reality, color, form, and movement are addressed as well.
Paper High School
Career paths for mathematics majors beyond traditional mathematics
¶ … decision to become a math major should not be taken lightly. Recent graduates are generally required to have a master's degree and the job market for mathematicians is competitive ("Mathematician: Summary" 2012).
Research Paper Doctorate
Plato's life, philosophies, and influence in ancient Greece
Plato was born in 428 BC and grew up in a time of major political change in Ancient Greece. The Peloponnesian War began a few years after he was born and continued until he was twenty.
Research Paper Doctorate
Karl Friedrich Gauss and his mathematical contributions
¶ … theory on plate tectonics, the theory of Motion of heavenly bodies and several other theories that were developed during his lifetime.
Paper Doctorate
COMPSTAT and predictive policing in modern law enforcement
Predictive policing techniques have now been made available through algorithms that can use historical data to determine where there might be areas that are probable for crime. The system utilizes imputes based on geographic information systems along with other data to determine which areas are high risk areas and at what times these areas fit the criteria. Historical data is collected and then analyzed to help the police use predictive policing to make best use of the assets and human resources. Before such a system, police relied upon random patrols to monitor crime.
Research Paper Doctorate
Computer ethics: technology, policy, and conceptual frameworks
The effect of information revolution in changing many facets of life in varied fields like banking and commerce, transportation, health care, entertainment, work and employment and national security is clearly visible…
Research Paper Undergraduate
Newton's discoveries and the non-confrontational model of science and religion
¶ … Science and religion: An introduction by Alister E. McGrath. Specifically it will discuss Newton's case of scientific discovery and the rise of Deism. Newton's case of geometry and physics illustrates the…
Research Paper Doctorate
George Cantor's set theory and its impact on mathematics
The purpose of the paper is to develop a concept of the connection between mathematics and society from a historical perspective. Specifically, it will discuss the subject, what George Cantor accomplished for…