Algebraic geometry

Theorem 5-9. SSS Similarity Theorem If all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar. Transversal In geometry, a transversal is a line that passes through two lines in the same plane at different points. When the lines are parallel, as is often the case, a transversal produces several congruent and several supplementary angles. When three lines in general

utilized the triangle before Pascal’s birth in 1623. In the twelfth century, both Persian and Chinese mathematicians were trying to create an arithmetical triangle that is easy to construct and that gives the coefficients of the expansion of the algebraic expression expression (a + b)n for different integer values of n. Pascal’s Triangle was first discovered by Chinese mathematician, Yang Hui, and rediscovered 500 years later by the French mathematician, Blaise Pascal (1623-62). The Chinese mathematician

Algebra. Algebra is not only mathematics it is also geometry and analysis. The basic part of algebra is elementary algebra, abstract algebra and modern algebra. Algebra is the key a successful life. If you know algebra it will help you to excel in the field that you want to specialize in. Algebra is the beginning of a journey

In this work Wallis also introduced interpolation, which was very common of this time period. In 1657, he published the Mathesis Universalis on algebra, arithmetic, and geometry, further developing notation. He invented and introduced the famous symbol ∞ for infinity, which is still used today. In this work, Wallis was the first to demonstrate the utility of the exponent using negative and fractional exponential notation

their subject. "She taught us to think in simple, and thus general, terms... homomorphic image, the group or ring with operators, the ideal... and not in complicated algebraic calculations," said her colleague P.S. Alexandroff during a memorial service after her death. In this way, she cleared a path toward the discovery of new algebraic patterns that had previously been obscured.

There is a metaphor about math education which posits that doing math is like painting, and yet most students focus on whitewashing fences rather than examining pieces by the great masters of art. Up until taking calculus in high school, my thoughts about math rarely strayed beyond fence painting. However, I was lucky enough to get a passionate high-school calculus teacher who made it a goal to introduce us to Van Gogh, Salvador Dali, and the like. From such introductions I began to build my own

Now of Infinity Lastly, the discovery of Infinity comes to the now of Infinity. Regarding the applications of Infinity in the real world today. Andrew Hendrickson pointed out a poignant thought by Einstein, “only two things are infinite: the universe and human stupidity, and I'm not sure about the former (2016).” Therefore, infinity, as discussed before is not a number, it is not a physical object, that we know of today, but as time has presented, infinity is under constant discovery. Fields have

John Forbes Nash, was born on June 13, 1928, in Bluefield, West Virginia, a former coal town deep in the Appalachian mountains. His mother, Virginia, who was also very intelligent, was a former teacher who had big dreams for her son, she taught him how to read, learn Latin at the age of 4(Nash, 2). When growing up children are usually really active in playing sports or just playing with toys outside; however, Nash’s parents noticed that he had a great interest in education at a very young age. On

John Forbes Nash, Jr. (born June 13, 1928) is an American mathematician whose works in game theory, differential geometry, and partial differential equations have provided insight into the forces that govern chance and events inside complex systems in daily life. His theories are used in market economics, computing, evolutionary biology, artificial intelligence, accounting, politics and military theory. Serving as a Senior Research Mathematician at Princeton University during the later part of his

a) Teacher’s Assessment Tools: Writing: During the first week of school Mrs. Marks conducted teacher-student conferences as students worked on their writing assignment, during their writing workshops. She does this as a form of assessment, and to keep students on task. We also conducted a word study at the end of the week, in order to assess students’ use of blends, and their ability to identify long and short vowel sound. Mrs. Marks also plans to assess and score her students’ writing using the