Thursday, June 5, 2008

Biography Project

Part 0 – Basic Facts

When did this person live and die?

Where were they born, where did they work?

On March 23, 1882, Emmy Noether was born in Erlangen, which is a town in Bavaria. She taught at various universities, including the University of Erlangen, University of Göttingen, and the University of Moscow. She went on to work at Bryn Mawr in the United States. On April 14 1935, she died in after several tumors were discovered in her pelvis.

Part 1 – The Work. What did this person do?

What did they accomplish in their field?

Emmy Noether has become famous for her influence in the field of abstract algebra. In the history of mathematics, she has come to be regarded as one of the most influential women. All of her work was divided into “three epochs; the first dealing with invariant theory, the second commutative rings, and the third noncommutative algebra”. She proved Noether’s theorem, which

What did other scientists think of them?

Pavel Alexandrov and Hermann Weyl, who were her colleagues, and Albert Einstein all consider Noether to be “the greatest woman to ever work in the mathematics field”. The respect she garnered from her colleagues was evidenced when Albert Einstein asked her for assistance in the development of one of his theories; she was the only woman on the faculty. Respect was again shown to her in 1964 when she was the only woman honored at the World’s Fairs’ “Men of Modern Mathematics” exhibit.

Part 2 – The Person. Who was this person? How did he/she get that way?

What challenges did they overcome in their personal lives?

Emmy Noether struggled to gain respect from her male colleagues. During her lifetime, her field was dominated by the male sex. As a result, she pushed herself to work harder. She put herself in situations where she was the only female; working with Einstein and at the World’s Fair. Although she feared that she would not be received well by those around her, she did not let that stop her.

Emmy was also forced to deal with hatred from her society. She was living and working in Germany when the Nazi party came into power. She was Jewish and as a result her entire life was uprooted during World War II. Her brother, who was a professor like herself, moved his family to Siberia to protect himself. Emmy moved all the way to the United States, where she began working at Bryn Mawr, in order to stay safe. Although she enjoyed working with other females (Bryn Mawr is an all-female college), she was still saddened to have left her native homeland.

What kind of relationship did they have with their family members?

Although Emmy was the oldest of four children, she and her brother Fritz were the only ones who survived. Her interests aligned with her brother's, for he was also a mathematician. It is clear that they received their mathematical talents from their father, Max Noether, who was also a noted mathematician.

Part 3 – The Society. What kind of world did this person live in?

What were the usual expectations of women in this society? What limits were there? Emmy Noether lived in a time where women were considered second class citizens. They were treated as inferiors to men, and were expected to cook, clean, and care for children around the house. This was not what Emmy wanted to do. She was a hard-working female who was passionate about math. She did not wish to stay at home, caring for others. She wanted to forge ahead and do great things.

What were some of the biggest issues that people worried about at that time? Emmy was alive and working during the Second World War. It was hard because she was Jewish and was based in Germany. Hitler and his party expelled her from her job as a professor at the University of Gottingen. Luckily for Emmy, she was offered a position at Bryn Mawr, so she was able to flee to the United States. If she had not been granted this opportunity, there is a great possibility that she would have been taken to a concentration camp like millions of other Jews. Her passion for and skill in math saved her life.

Part 4 – Interactions. Consider how the work, the person, and the society influenced one another.
Did this person's work influence their family life, or vice versa?
Because Emmy was an educated woman, she was able to secure good jobs for herself. She was not always graced with respect, but she always earned it eventually. Because of the Nazi Party in Germany during World War II, her family was forced to uproot their lives. Emmy's brother Fritz moved his family to Siberia to escape persecution and Emmy could have gone with him. Her knowledge and skill landed her a job in America though. Although she was safe, she was far from her family members. Her life was completely different from theirs.

Did the politics or values of his/her/our society influence this person's work, or vice versa? It is probably safe to say that the values of Emmy Noether's time, that men were superior to women, shaped her work. She expected her life to lead down a path where she taught a language, but instead she ended up as a mathematician. This is ironic because math is one of the only unbiased subjects in society. There is no segregation when dealing with numbers and symbols. Since Emmy lived in such a turbulent time, it is rather ironic that she would excel in such a stable field as mathematics where there is a right answer and a wrong answer.

Part 5 – How did she cope when men tried to sabotage her career at every opportunity? Although many men felt that Emmy Noether was not deserving of respect within the field of mathematics, she proved them wrong by releasing over 40 papers and numerous theorems. She also aligned herself with genius (e.g. Albert Einstein) and gained assistance from some of her male friends. Through hard work and determination she overcame the adversity of sexism and established herself as a remarkably noteworthy mathematician.

My information was obtained from http://en.wikipedia.org/wiki/Emmy_Noether. and

http://www.agnesscott.edu/lriddle/women/noether.htm

Tuesday, May 27, 2008

Journal Entry 5/9 Continued

The person in the photo is the man's son. Since the man looking at the photo has no brothers and sisters we know that he is talking about himself when he says "my father's son". The riddle can now be read as "that man's father is me". Therefore the man in the photo is his son.

Journal Entry 5/16

To test Gretchen's idea, we need to use the magnet that we have. Although we are unsure at this point if the fur and silk have made magnets of the rods, we do know that these rods have opposite charges. We know they have opposite charges because they attract on another. If we put the two rods near the magnetic poles, and one rod attracts the magnet and the other rod repels the magnet, we will know that the rods themselves have become magnetic. When the experiment is performed the magnet is attracted to both rods which means they do not have opposite magnetic charges and therefore are not magnets. Gretchen is wrong. The rods aren't magnetic.

Tuesday, May 20, 2008

Journal Entry 5/9 Continued

I don't understand why my answer is wrong. Why isn't the person in the picture the son? If the person looking at the photo has the same father as the person in the photo and said person (the viewer) has no brothers and sisters, it has to be that person. The viewer is the son. I'm really struggling here, because I can't see where I made a mistake.

Sunday, May 11, 2008

Journal Entry 5/9 Continued

Having reread my explanation, I can see how that sentence threw you off. It is supposed to read, "If Dan and the man in the photo have the same father, "that man's father is my father", then the man in the photo is Dan himself!" I accidentally typed photo twice when I meant father the second time. I think this clarifies my answer, but if it doesn't let me know and I will try again.

Friday, May 9, 2008

Journal Entry 5/9

(Q) A man is looking at a photograph of someone. His friend asks who it is. The man replies, "Brothers and sisters, I have none. But that man’s father is my father’s son." Who was in the photograph?

(A) Let's say that the man looking at the photograph is named Dan. Dan has a father, named Tom. Dan's grandfather and Tom's father is named John. The riddle says that Dan is the one looking at the photo, so "my" represents Dan. By starting at the end of the riddle, we can figure it out. "My father's son" actually means "Dan's father's son" which means Dan, because he is his father's son. The riddle also says "that man's father". "That man" represents the person in the photo. If Dan and the man in the photo have the same photo, "that man's father is my father", then the man in the photo is Dan himself!

Thursday, May 1, 2008

Journal Entry 5/1

(Q) Why does a tank have treads?
(A) A flat piece of rubber has a large area that touches the ground. The tank itself has a constant force, regardless of the terrain that it covers. When an object has a force and a large area, its pressure is not very large. The addition of treads to the rubber breaks up the area though. Even with the same force, but with a smaller area in contact with the ground, the pressure of the truck is increased. If the tank has a larger pressure, it is better equipped to go through a rugged landscape.

(Q) How do cleats work?
(A) Cleats are similar to treads on a tank. If you are wearing a basic sneaker, a large area of rubber is touching the ground. Your weight does not fluctuate while wearing the sneakers, so your force is constant. Therefore, with a force and a large area, the pressure will be small. Cleats help to increase an athletes pressure because they reduce the surface area of the shoe. The spikes on the bottom of the cleat have less area than a flat piece of rubber. When the force remains the same, but the area is reduced, the pressure increases. This is good because it helps athletes grip the ground while playing their sport, and it reduces the time they spend on the ground as a result of slipping and falling.

(Q) Why does a pin have a dull end and a sharp end?
(A) The purpose of a pin is to be used by a person to sew. It needs to have two pressures. Low pressure is necessary to enable the use/holding of the pin and high pressure is necessary to puncture the fabric. In terms of a pin, the dull end has a large area. The user's force on the pin does not fluctuate. With a force and a large area, there is a small pressure. The sharp end of the pin has a smaller area than the dull end. Because the force of the user on the pin has not changed, the pressure is increased with a smaller area. This is great because pins can be used to hang things up and they do not make people bleed, unless they push from the wrong end of course!