Ernst Eduard Kummer
Ernst Eduard Kummer made a large impact on the world of mathematics and helped discover and understand different properties of trigonometry and geometry. He helped prove Fermat’s Last Theorem, also known as Fermat’s conjunction. Kummer introduced the idea of “ideal” numbers can go in for infinity. xm-ym=zm. In this case m must be greater than two, and a whole number. Kummer soon found out that that works for all whole prime numbers less the 100 to be m. He won an award at the French Academy of Science for this work. The French Academy of Science had been holding the award to give to the man or women whom completely solved Fermat’s Last Theorem. Yet, the Academy decided that Kummer’s accomplishment was the closest thing to solving it.
On Kummer’s road of life, this extended from his birthday January 29, 1810 to May 4, 1893, his date of death. He attended school at the University of Halle in Wittenberg, taught at the University of Berlin for ten years, and contributed to mathematics throughout his life.
Starting from a poor background, Ernst Kummer really made his way up. It is so inspiring to see what intelligence can earn you, not only a good education and grades, but scholarships and a future.
Kummer was born to Carl Gotthelf Kummer and Sophie Rothe in Sorau, Brandenburg, Germany. His father passed away when Kummer was 3-years-old. Carl Kummer was a physician and originally Ernst Kummer aspired to be like his him. After the very tragic loss, Kummer’s mom, Sophie, worked her hardest to raise him and his brothers and sisters. His sister, Rebecca Mendelssohn Bartholdy was married to the famous mathematician, Peter Gustav Lejeune Dirichlet. Peter Gustav Lejeune Dirichlet is known for the numbers theory. Dirichlet ...
... middle of paper ...
...mply because they had a larger role played in what they did.
There are so many amazing men and women from this time period that really affected the way the world is today. Generations carry out through generations and on and on, the world will never stop growing and expanding in knowledge. It is a crazy thought that one day we may know everything. Although, that is highly unlikely because the world around us is always changing. It is a here today gone tomorrow kind of thing. Mathematics has also improved the way we live by improving technology. With technology we have come a long way, advancing in travel, internet, and just about everything else around you. It is crazy how one thing can link to the next. Ernst Kummer’s role in the world of mathematics did not just stop when he died because it is still being added to today, about one-hundred and twenty years later!
Overall George Boole’s life was filled with many moments of success, but was Boole an advance towards where mathematics is today? As many times that Boole was recognized his work finally paid off. At one point even Albert Einstein used Boole’s methods of mathematics to continue to advance of his own mathematics and sciences.
.” He showed people how math can relate to real world problems of every kind. He helped shape the mathematical system we have today and he should be recognized for doing so.
His pursuit of knowledge became even more important when he entered the university of Ingolstadt. He "read with ardour" (35) and soon become "so ardent and eager that the stars often disappeared in the light of the morning whilst I was yet engaged in my laboratory" (35). He was a proud product of the Enlightenment...
...use many of his concepts and ideas today, such as the law of conservation of matter and the calculus concept of dy/dx. Leibniz sought after knowledge and gave the world many new and innovative ways to think. Through his advancements in mathematics, many other fields of study took root and thrived. Leibniz died November 14, 1716. His contributions to society brought about a new way of thinking and challenged what the world knew.
Michael Guillen, the author of Five Equations that Changed the World, choose five famous mathematician to describe. Each of these mathematicians came up with a significant formula that deals with Physics. One could argue that others could be added to the list but there is no question that these are certainly all contenders for the top five. The book is divided into five sections, one for each of the mathematicians. Each section then has five parts, the prologue, the Veni, the Vidi, the Vici, and the epilogue. The Veni talks about the scientists as a person and their personal life. The Vidi talks about the history of the subject that the scientist talks about. The Vici talks about how the mathematician came up with their most famous formula.
She had many struggles trying to receive higher education because of the restrictions women had when it came to furthering ones education. But after many attempts, she was able to study with the great German mathematician Karl Weierstrass. She worked with him for the next four years and then in 1874, received her doctorate. By this time, she had published numerous original papers in the field of higher mathematical analysis and applications to astronomy and physics. But despite all her attempts, and brilliance, she was still a woman in her time period, and therefore unable to find a job in academia. Weierstrass had tried helping her find a job because he was astonished with her abilities and intellectual capacity, but had no luck because after all, she was still a woman.
...h is done today. In fact, he is most known as a poet, not a mathematician. Omar Khayyam is most known as the author of some short poems included in Edward Fitzgerald’s Rubaiyat (Texas A&M). The main focus here will be on his geometric proofs regarding the root of third degree polynomials; however, he also pushed for the use of rational numbers and helped to prove the parallel postulate. An article by Texas A&M’s Math Department states, “He discovered exactly what must be showed to prove the parallel postulate, and it was upon these ideas that non-Euclidean geometry was discovered” (Texas A&M). Briefly, the Euclidian parallel postulate is: Given a point and a line, there can only be one line that goes through the point and is parallel to the given line. (See figure below) Khayyam solidified this idea by using a quadrilateral to show the existence of parallel lines.
Both lived their lives throughout the same time period. Both were students of teachers and sociologists. Both were of European descent. I have just listed very similar traits about these 2 sociologists.
Pierre de Fermat Pierre de Fermat was born in the year 1601 in Beaumont-de-Lomages, France. Mr. Fermat's education began in 1631. He was home schooled. Mr. Fermat was a single man through his life. Pierre de Fermat, like many mathematicians of the early 17th century, found solutions to the four major problems that created a form of math called calculus. Before Sir Isaac Newton was even born, Fermat found a method for finding the tangent to a curve. He tried different ways in math to improve the system. This was his occupation. Mr. Fermat was a good scholar, and amused himself by restoring the work of Apollonius on plane loci. Mr. Fermat published only a few papers in his lifetime and gave no systematic exposition of his methods. He had a habit of scribbling notes in the margins of books or in letters rather than publishing them. He was modest because he thought if he published his theorems the people would not believe them. He did not seem to have the intention to publish his papers. It is probable that he revised his notes as the occasion required. His published works represent the final form of his research, and therefore cannot be dated earlier than 1660. Mr. Pierre de Fermat discovered many things in his lifetime. Some things that he did include: -If p is a prime and a is a prime to p then ap-1-1 is divisible by p, that is, ap-1-1=0 (mod p). The proof of this, first given by Euler, was known quite well. A more general theorem is that a0-(n)-1=0 (mod n), where a is prime...
The Bernoulli family had eight significant and important mathematicians, starting with Jacob Bernoulli, born in 1654. Though there was a great deal of hatred and jealousy between the Bernuollis, they made many remarkable contributions in mathematics and science and helped progress mathematics to become what it is today. For example, Daniel discovered a way to measure blood pressure that was used for 170 years, which advanced the medical field. Daniel’s way of measuring pressure is still used today to measure the air speed of a plane. Without the Bernoulli family’s contributions and advancements to calculus, probability, and other areas of mathematics and science, mathematics would not be where it is now.
Albert Einstein once said, "Any intelligent fool can make things bigger, more complex, and more violent. It takes a touch of genius -- and a lot of courage -- to move in the opposite direction." When discussing Einstein, it is important to realize the struggle he dealt with in terms of having his scientific revelations accepted by others in the field of physics. Einstein's ideas were so remarkably revolutionary that many did not understand the theories being presented. His brilliance remains extremely relevant in the present day. For example, today the word "Einstein" is synonymous with genius. Einstein is influential for his contributions to physics, winning the Nobel Prize, and using his fame to further his social and political views.
Carl Friedrich Gauss is revered as a very important man in the world of mathematicians. The discoveries he completed while he was alive contributed to many areas of mathematics like geometry, statistics, number theory, statistics, and more. Gauss was an extremely brilliant mathematician and that is precisely why he is remembered all through today. Although Gauss left many contributions in each of the aforementioned fields, two of his discoveries in the fields of mathematics and astronomy seem to have had the most tremendous effect on modern day mathematics.
However, between 1850 and 1900 there were great advances in mathematics and physics that began to rekindle the interest (Osborne, 45). Many of these new advances involved complex calculations and formulas that were very time consuming for human calculation.
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
The 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...