11/18/08
Third In ternational Congress of Chinese Mathematicians
A Chinese Essay in Tribute to Professor Shiing-Shen Chern, found this page in a book called Third In ternational Congress of Chinese Mathematicians. This essay expressed how sad people were for the death of our one of the greatest person.
This is a seondary source, and this book help me to understand more mathematician in the past decade, who had contribute their whole life in the mathematical.
Friday, November 21, 2008
Thursday, November 13, 2008
Final Draft
Shiing Shen Chern who was a Chinese American mathematician, whose name is immortalized in the "Chern classes" of differential geometry, he was born on October 26th, 1911 in JiaXing, China. One of the greatest geometers of the 20th century and a professor emeritus of mathematics at the University of California, Berkeley. He made many of successes in his life, which will affect us forever, such as Differential geometry which is the language of modern physics as well as an area of mathematical delight.
Professor Chern was living in the era of revolution in China, his father worked for government, in his early life, he had only one day of elementary school, four years at middle high school, and at aged 15 he skipped two grades to enter the Nankai University. He also studied at the University of Hamburg, where he received his doctorate in 1936, before spending a year at the Sorbonne in Paris. While undertaking graduate studies at Tsing Hua University, Peking, Chern became a really interest in differential geometry. During the period of 1934 to 1943, Chern made his three major dicisions that affect the rest of his life. In 1934, he earned a chance to study aboard, and he chose to went to Europe instead of U.S, because he had listened to the lecture of Blaschke’s when he was still in Peking in 1932, which attracted him most.
And then in 1936, use a postdoctoral fellowship for study in Europe to study with Elie Cartan in Paris. Later in 1943, at the end of World War II, Chern returned to China to the Institute of Mathematics at the Academia Sinica in Nanking, he made one of his most important decision in his life to accepted the invitation go to visit the Institute for Advanced Study (IAS) at Princeton, even it was a difficult time to travel. At Tsinghua, he married his wife Shih-Ning, the daughter of a professor, in Kunming in 1939.
He returned to teach in China, but the environment limited his contact with mathematicians outside the country, and Professor Chern left for Princeton University. He later taught at the University of Chicago and eventually became a naturalized U.S. citizen.
In 1975, he received the U.S. National Medal of Science Prize for his efforts on the geometry."He was a towering figure in 20th century mathematics," said UC Berkeley mathematics Professor Calvin Moore. "He reshaped differential geometry and introduced several fundamental tools."
Chern died of heart failure following a heart attack, in 2004, at aged 93 in Tianjin, China, even though he was died, he had left with a huge property for us. A large part of modern algebraic geometry would not exist without Chern classes, his efforts on geometry made scientists take a big step toward the new mathematical world.
Introduction
What is String Theory? First what is the world made of, ordinary matter is made of atoms, and atom is made of three part, proton, neutron, and with the electron arranged around them. But neutrons and protons are made of even smaller particles, known as quarks. The world has many secretes we hadn't found out yet. The essential idea behind string theory is this: all of the different 'fundamental ' particles of the Standard Model are really just different manifestations of one basic object: a string. This is a most famous theory in geometry field, and Chern made a prove of this theory, a Chinese American mathematician of the 20th century.
Professor Chern was living in the era of revolution in China, his father worked for government, in his early life, he had only one day of elementary school, four years at middle high school, and at aged 15 he skipped two grades to enter the Nankai University. He also studied at the University of Hamburg, where he received his doctorate in 1936, before spending a year at the Sorbonne in Paris. While undertaking graduate studies at Tsing Hua University, Peking, Chern became a really interest in differential geometry. During the period of 1934 to 1943, Chern made his three major dicisions that affect the rest of his life. In 1934, he earned a chance to study aboard, and he chose to went to Europe instead of U.S, because he had listened to the lecture of Blaschke’s when he was still in Peking in 1932, which attracted him most.
And then in 1936, use a postdoctoral fellowship for study in Europe to study with Elie Cartan in Paris. Later in 1943, at the end of World War II, Chern returned to China to the Institute of Mathematics at the Academia Sinica in Nanking, he made one of his most important decision in his life to accepted the invitation go to visit the Institute for Advanced Study (IAS) at Princeton, even it was a difficult time to travel. At Tsinghua, he married his wife Shih-Ning, the daughter of a professor, in Kunming in 1939.
He returned to teach in China, but the environment limited his contact with mathematicians outside the country, and Professor Chern left for Princeton University. He later taught at the University of Chicago and eventually became a naturalized U.S. citizen.
In 1975, he received the U.S. National Medal of Science Prize for his efforts on the geometry."He was a towering figure in 20th century mathematics," said UC Berkeley mathematics Professor Calvin Moore. "He reshaped differential geometry and introduced several fundamental tools."
Chern died of heart failure following a heart attack, in 2004, at aged 93 in Tianjin, China, even though he was died, he had left with a huge property for us. A large part of modern algebraic geometry would not exist without Chern classes, his efforts on geometry made scientists take a big step toward the new mathematical world.
Introduction
What is String Theory? First what is the world made of, ordinary matter is made of atoms, and atom is made of three part, proton, neutron, and with the electron arranged around them. But neutrons and protons are made of even smaller particles, known as quarks. The world has many secretes we hadn't found out yet. The essential idea behind string theory is this: all of the different 'fundamental ' particles of the Standard Model are really just different manifestations of one basic object: a string. This is a most famous theory in geometry field, and Chern made a prove of this theory, a Chinese American mathematician of the 20th century.
Thursday, November 6, 2008
Fifth Annotation
11/06/08
http://www.ams.org/notices/199807/chern.pdf
This website gives me an interviews with Shing Shen Chern when he was still alive, and there was a poem written by Chern. This interview told a completed and detailed story of Chern's life.
Following is the poem written by Chern:
Physics and geometry are one family.
Together and holding hands they roam to the limits of outer space.
Black hole and monopole exhaust the secret of myths;
Fiber and connections weave to interlace the roseate clouds.
Evolution equations describe solitons;
Dual curvatures defines instantons.
Surprisingly, Math, has earned its rightful place for man and in sky;
Fondling flowers with a smile -- just wish nothing is said.
This is a primary source, because it had inclued some pictures which was taken by him, and this is a interview.
http://www.ams.org/notices/199807/chern.pdf
This website gives me an interviews with Shing Shen Chern when he was still alive, and there was a poem written by Chern. This interview told a completed and detailed story of Chern's life.
Following is the poem written by Chern:
Physics and geometry are one family.
Together and holding hands they roam to the limits of outer space.
Black hole and monopole exhaust the secret of myths;
Fiber and connections weave to interlace the roseate clouds.
Evolution equations describe solitons;
Dual curvatures defines instantons.
Surprisingly, Math, has earned its rightful place for man and in sky;
Fondling flowers with a smile -- just wish nothing is said.
This is a primary source, because it had inclued some pictures which was taken by him, and this is a interview.
Tuesday, October 28, 2008
Revised Thesis Statement and Introduction
Shiing Shen Chern who was a Chinese American mathematician, he was born on October 26th, 1911 in JiaXing, China. One of the greatest geometers of the 20th century and a professor emeritus of mathematics at the University of California, Berkeley.
Chern was living in the era of revolution in China, his father works for government, in his early life, he had only one day of elementary school, four years at middle high school, and at aged 15 he skipped two grades to enter the Nankai University. While undertaking graduate studies at Tsing Hua University, Peking, Chern became a really interest in differential geometry. During the period of 1934 to 1943, Chern made his three major dicisions that affect the rest of his life. In 1934, he earned a chance to study aboard, and he chose to went to Europe instead of U.S, because he had listened to the lecture of Blaschke when he was still in Peking in 1932, which attracted him most.
And then in 1936, use a postdoctoral fellowship for study in Europe to study with Elie Cartan in Paris. Later in 1943, at the end of World War II, Chern returned to China to the Institute of Mathematics at the Academia Sinica in Nanking, he made one of his most important decision in his life to accepted the invitation go to visit the Institute for Advanced Study (IAS) at Princeton, even it was a difficult time to travel. At Tsinghua, he married his wife Shih-Ning, the daughter of a professor, in Kunming in 1939.
Chern died of heart failure following a heart attack, in 2004, at aged 93 in Tianjin, China, even though he was died, he had left with a huge property for us. A large part of modern algebraic geometry would not exist without Chern classes, his efforts on geometry made scientists take a big step toward the new mathematical world.
Introduction
What is String Theory? First what is the world made of, ordinary matter is made of atoms, and atom is made of three part, proton, neutron, and with the electron arranged around them. But neutrons and protons are made of even smaller particles, known as quarks. The world has many secretes we hadn't found out yet. The essential idea behind string theory is this: all of the different 'fundamental ' particles of the Standard Model are really just different manifestations of one basic object: a string. This is a most famous theory in geometry field, but Chern made a prove of this theory, a Chinese American mathematician of the 20th century.
Fourth Annotation
10/28/08
http://www.nucleares.unam.mx/~alberto/physics/string.html
This article gives me an idea of what is String Theory. First what is the world made of, ordinary matter is made of atoms, and atom is made of three part, proton, neutron, and with the electron arranged around them. But neutrons and protons are made of even smaller particles, known as quarks. There are four fundamental forces in this universe: gravity, electromagnetism, and the weak and strong nuclear forces. Each of these is produced by fundamental particles that act as carriers of the force. The essential idea behind string theory is this: all of the different 'fundamental ' particles of the Standard Model are really just different manifestations of one basic object: a string.
This is a primary source, it provided me some important information of the my project, and this article let me easier understand the basic meaning of String Theory.
http://www.nucleares.unam.mx/~alberto/physics/string.html
This article gives me an idea of what is String Theory. First what is the world made of, ordinary matter is made of atoms, and atom is made of three part, proton, neutron, and with the electron arranged around them. But neutrons and protons are made of even smaller particles, known as quarks. There are four fundamental forces in this universe: gravity, electromagnetism, and the weak and strong nuclear forces. Each of these is produced by fundamental particles that act as carriers of the force. The essential idea behind string theory is this: all of the different 'fundamental ' particles of the Standard Model are really just different manifestations of one basic object: a string.
This is a primary source, it provided me some important information of the my project, and this article let me easier understand the basic meaning of String Theory.
Saturday, October 25, 2008
Third Annotation and Thesis Statement
10/25/08
http://www.universityofcalifornia.edu/senate/inmemoriam/shiingshenchern.htm
This article gives a main detailed biography of Chern's life, he only had one day of elementary education, and four years at middle high school, at aged 15, he skippe two greades to enter the Nankai University, and how he opened his eyes to the grand vistas in geometry. And three major decisions in the period 1934 to 1943 that shaped the rest of his life.
This article references primary and secondary source, including the picture of Chern's and this article was created after Chern was passed away.
Thesis Statement
Shiing Shen Chern who was a Chinese American mathematician. In 1934, he earned a chance to study aborad, and he chose to went to Europe instead of U.S, and then in 1936, use a postdoctoral fellowship for study in Europe to study with Elie Cartan in Paris. Later in 1943, he made one of his most important disicion in his life to go to visit the Institute for Advanced Study (IAS) at Princeton. Chern, who had made a big improvement in geometry, that he made a major discovery, namely, an intrinsic proof of the n-dimensional Gauss-Bonnet theorem. This important proof was the forerunner of other invariants which bear his name, Chern classes, Chern-Weil homomorphism and Chern-Simons invariants, which have become essential tools not only in differential geometry but in other areas of mathematics such as topology and algebraic geometry and also mathematical physics. A large part of modern algebraic geometry would not exist without Chern classes. Chern's efforts on geometry made scientist take a big step toward the world.
http://www.universityofcalifornia.edu/senate/inmemoriam/shiingshenchern.htm
This article gives a main detailed biography of Chern's life, he only had one day of elementary education, and four years at middle high school, at aged 15, he skippe two greades to enter the Nankai University, and how he opened his eyes to the grand vistas in geometry. And three major decisions in the period 1934 to 1943 that shaped the rest of his life.
This article references primary and secondary source, including the picture of Chern's and this article was created after Chern was passed away.
Thesis Statement
Shiing Shen Chern who was a Chinese American mathematician. In 1934, he earned a chance to study aborad, and he chose to went to Europe instead of U.S, and then in 1936, use a postdoctoral fellowship for study in Europe to study with Elie Cartan in Paris. Later in 1943, he made one of his most important disicion in his life to go to visit the Institute for Advanced Study (IAS) at Princeton. Chern, who had made a big improvement in geometry, that he made a major discovery, namely, an intrinsic proof of the n-dimensional Gauss-Bonnet theorem. This important proof was the forerunner of other invariants which bear his name, Chern classes, Chern-Weil homomorphism and Chern-Simons invariants, which have become essential tools not only in differential geometry but in other areas of mathematics such as topology and algebraic geometry and also mathematical physics. A large part of modern algebraic geometry would not exist without Chern classes. Chern's efforts on geometry made scientist take a big step toward the world.
Friday, October 24, 2008
Second Annotation
10/24/08
http://journals.cambridge.org/action/displayAbstract;jsessionid=869ADDF818FB552D066D1FF56B0E39B7.tomcat1?fromPage=online&aid=441323
This website informed me that Shiing Shen Chern was born on October 26th, 1911 in JiaXin, in china, and died in 2004. His father works for government. He first shows his mathematical ability by doing all the exercises in classical English textbooks on algebra and trigonometry when he was in his middle school, and he later became really interesting in the Sun's subject, projective differential geometry, he works hard. At Tsinghua, he met his wife Shih-Ning, the daughter of a professor.
This website help me to recongnized a brief summarize of Chern's life.
This is a secondary source, because this website was not created by Shiing Shen Chern's lifetime.
http://journals.cambridge.org/action/displayAbstract;jsessionid=869ADDF818FB552D066D1FF56B0E39B7.tomcat1?fromPage=online&aid=441323
This website informed me that Shiing Shen Chern was born on October 26th, 1911 in JiaXin, in china, and died in 2004. His father works for government. He first shows his mathematical ability by doing all the exercises in classical English textbooks on algebra and trigonometry when he was in his middle school, and he later became really interesting in the Sun's subject, projective differential geometry, he works hard. At Tsinghua, he met his wife Shih-Ning, the daughter of a professor.
This website help me to recongnized a brief summarize of Chern's life.
This is a secondary source, because this website was not created by Shiing Shen Chern's lifetime.
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