Abstract
This paper only touches on some selected aspects of a broad and encompassing subject. The author begins by outlining some of the key developments as a whole before further subdividing into three sections: Greek mathematical developments; Chinese and Middle Eastern developments; and Western developments. The paper concludes by drawing attention to the enormous scope of the history of mathematics.

Abstract
This paper looks at the early Chinese achievements in the field of mathematics, including the decimal system, calculation of pi, the use of counting aids and the application of mathematical principles to everyday life. It also examines the influence of Indian and later, European mathematical knowledge into Chinese mathematics.

Early China
Indian Influence
Tenth Century to Ming Period
Influence

From the Paper
"Suan chu was thus developed, which covered a wide array of practical and spiritual concerns. Subjects as diverse as religion and astronomy were tapped to devise ways to control the floods (Martzloff 21-22). The science of mathematics was an integral aspect to the of suan chu, particularly in the construction of dams strong enough to shore up the river banks and in the development of the Chinese calendar to record and predict the monsoon season."

Tags:calculation, numeral, notation, system, shang, dynasty, lo, shu, yin, yang, even, odd, arabic, han

Abstract
The paper reveals that Africa's influence on mathematics dates back thousands of years to before the beginning of recorded history, for archeological evidence indicates that ancient African societies made significant contributions to the study of mathematics beginning as far back as prehistoric times. The paper offers the example that the Ishango bone found by archeologists in Zaire has been dated circa 18,000 BCE and a much older bone found in Namibia dated circa 35,000 BCE both indicate a knowledge of basic arithmetic, for they were inscribed with equally spaced tally marks used for counting.

From the Paper
"Africa's influence on mathematics dates back thousands of years to before the beginning of recorded history, for archeological evidence indicates that ancient African societies made significant contributions to the study of mathematics beginning as far back as prehistoric times. For example, the Ishango bone found by archeologists in Zaire has been dated circa 18,000 BCE and a much older bone found in Namibia dated circa 35,000 BCE both indicate a knowledge of basic arithmetic, for they were inscribed..."

Tags:african, mathematics, influence

Abstract
A short history of the great Greek mathematicians. Amongst those discussed are Pythagoras, Zeno, Euclid, Hippocrates, and Thales. This essay is a brief overview of their major contributions to modern mathematics.

Tags:greek, hippocrates, mathematicians, mathematics, pythagoras, thales, zeno

Abstract
The following paper will examine Bertrand Russell's Paradox. To be more specific, the paper will look at how Russell came up with his path-breaking theorem and the history behind the paradox. More importantly, the paper will look at the enduring significance of the paradox and the manner in which it has transformed mathematical logic. Ultimately, Russell forced a re-evaluation of Cantor's theorem, led to the formulation of higher-complexity set theories, prompted the creation of type theory and even set in motion the development of axiomatic set theory - which was the precursor to Zermelo-Fraekel set theory. Lastly, the notion of a universal set was called into question by Russell's work. In the final analysis, Bertrand Russell turned the work of Cantor, Frege and many others on its ear - and took logic in exciting new directions.

From the Paper
Bertrand Russell's Paradox: How He Came up with It, The History, and It's Significance The following paper will examine Bertrand Russell's Paradox. To be more specific, the paper will look at how Russell came up with his path-breaking theorem and the history behind the paradox. More importantly, the paper will look at the enduring significance of the paradox and the manner in which it has transformed mathematical logic. Ultimately, Russell forced a re-evaluation of Cantor's theorem, led to the formulation of higher-complexity set theories, prompted the creation of type theory and even set in motion the development of axiomatic set theory

Tags:russell's, paradox, history

Abstract
This paper presents a detailed examination of the history of calculus. The writer takes the reader on an exploratory path through the origins of mathematics and then on to the history of calculus. The people who are credited with its invention as well as the forms that it took are all included in the discussion.

From the Paper
"The history of mathematics is one in which the topic follows the actual subject. Mathematics are taught by building on foundational blocks. Each block is taught and mastered and when that is completed the next block is introduced. The origin and history of mathematics follows the same path. The history of calculus is perhaps the most interesting of the mathematical techniques. The history and origin of calculus is founded in philosophy as well as science and it is one of the most fascinating of the mathematical theories and practices."

Tags:math, philosophy, theories, practices, application, infinity, infinitesimals, optimization, central, limit, theorem

Abstract
This essay is an exploration of an individual's past experience with mathematics, both positive and negative. The goal of this exercise to to assist the new teacher in understanding how their opinions of math have been formed and how to better assist their students excel in the discipline. The essay ends with the individual identifying how these experiences have contributed to the teacher he will become.

From the Paper
"My earliest memory of mathematics was in grade two. I was in an open concept school and our class worked in groups of four; our desks turned in. We were asked to complete one of our first math assignments which was to answer three basic addition and three basic subtractions questions. I remember struggling with this and not having an eraser that day so my page was messy. The others in my group appeared to have much neater worksheets and I felt embarrassed and stupid. I was sure that I would do badly on this assignment. However, when I received my page back after being marked,..."

Tags:math, teaching, experience

Abstract
This paper provides biographical information on famous women mathematicians and explains the contributions they made to the field of mathematics. The paper describes many of the contributions these women made, such as the Golden Mean Theory, Hypatia's work on conic sections, works on finite and infinitesimal analysis, and recursive function theory.

From the Paper
"Women have played an important role in mathematics for more than two thousand years. Often overshadowed by their male counterparts, their contributions brought about the field of mathematics, as we know it today, nonetheless. Following you will find brief biographical compilations of some of history's most notable female mathematicians, who surely serve as role models for today's women in mathematics."

Tags:theano, pythagorean, school, golden, rectangle, apollonius, hyperbolas, parabolas, ellipses, agnesi, ada, computer

Abstract
The paper discusses how in the passage by Galileo, he describes the world and the universe within which it resides as consisting of mathematic equations and geometrical figures. The paper further looks at how he states that mankind cannot begin to comprehend this physical world, and the metaphysical foundations upon which the physical resides, unless this mathematical language is first acquired. It

From the Paper
"In the passage by Galileo, he describes the world and the universe within which it resides as consisting of mathematic equations and geometrical figures. Additionally, he goes on to state that mankind cannot begin to comprehend this physical, and the metaphysical foundations upon which the physical resides, unless this mathematical language is first acquired. It is clear that Galileo's predilection for mathematical solutions as being the foundation for all the world's puzzles, and by extension, all of mankind's philosophical conundrums, as being based on the viewpoints of..."

Tags:philosophy, history, questions

From the Paper
"The purpose of this research is to examine "The History of Calculus" by Carl B. Boyer. The plan of the research will be to set forth the general ideas in the book, and then to explore details contained in the book that summarize the concepts of calculus that Boyer wants to emphasize.

Boyer's The History of the Calculus is put forward as one of the few histories of how the discipline of calculus evolved, apart from an explanation of how to use it mathematically. It is by positioning the ideas of mathematics and philosophy that influenced calculus that Boyer gradually moves toward an explanation of how calculus can actually be used and applied. The background of Boyer's approach appears to be the idea that a richer understanding of how calculus came to "be" in the world of ideas can lead to an understanding of how it can be employed in ... "