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K. Friedrichs
Kurt Otto Friedrichs (September 28, 1901 – December 31, 1982) was a German-American mathematician. He was the co-founder of the Courant Institute at New York University, and a recipient of the National Medal of Science. Biography Friedrichs was born in Kiel, Schleswig-Holstein on September 28, 1901. His family soon moved to Düsseldorf, where he grew up. He attended several different universities in Germany studying the philosophical works of Heidegger and Husserl, but finally decided that mathematics was his real calling. During the 1920s, Friedrichs pursued this field in Göttingen, which had a renowned Mathematical Institute under the direction of Richard Courant. Courant became a close colleague and lifelong friend of Friedrichs. In 1931, Friedrichs became a full professor of mathematics at the Technische Hochschule in Braunschweig. In early February 1933, a few days after Hitler became the Chancellor of Germany, Friedrichs met and immediately fell in love with a young Je ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kiel
Kiel ( ; ) is the capital and most populous city in the northern Germany, German state of Schleswig-Holstein. With a population of around 250,000, it is Germany's largest city on the Baltic Sea. It is located on the Kieler Förde inlet of the Bay of Kiel and lies in the southeast of the Jutland Peninsula, on the mouth of the Schwentine River, approximately northeast of Hamburg. The world's busiest artificial waterway, the Kiel Canal, has a terminus in Kiel's Holtenau district. This canal connects the Baltic to the North Sea, with its other end in Brunsbüttel. Most of Kiel is part of Holstein. The boroughs north of the Schwentine also belong to Wagria, while those north of the Kiel Canal are historically part of Southern Schleswig. Kiel is one of Germany's major maritime centres, known for a variety of international sailing events, including the annual Kiel Week, which is the biggest sailing event in the world. Kiel is also known for the Kiel mutiny, Kiel Mutiny, when sailors re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Friedrichs Extension
In functional analysis, the Friedrichs extension is a canonical form, canonical self-adjoint operator, self-adjoint extension of a non-negative densely defined symmetric operator. It is named after the mathematician Kurt Friedrichs. This extension is particularly useful in situations where an operator may fail to be essentially self-adjoint or whose essential self-adjointness is difficult to show. An operator ''T'' is non-negative if : \langle \xi \mid T \xi \rangle \geq 0 \quad \xi \in \operatorname\ T Examples Example. Multiplication by a non-negative function on an ''L''2 space is a non-negative self-adjoint operator. Example. Let ''U'' be an open set in R''n''. On ''L''2(''U'') we consider differential operators of the form : [T \phi](x) = -\sum_ \partial_ \ \quad x \in U, \phi \in \operatorname_c^\infty(U), where the functions ''a''''i j'' are infinitely differentiable real-valued functions on ''U''. We consider ''T'' acting on the dense subspace of infinitely diffe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edmund Husserl
Edmund Gustav Albrecht Husserl (; 8 April 1859 – 27 April 1938) was an Austrian-German philosopher and mathematician who established the school of Phenomenology (philosophy), phenomenology. In his early work, he elaborated critiques of historicism and of psychologism in logic based on analyses of intentionality. In his mature work, he sought to develop a systematic foundational science based on the so-called Bracketing (phenomenology), phenomenological reduction. Arguing that Transcendence (philosophy), transcendental consciousness sets the limits of all possible knowledge, Husserl redefined phenomenology as a Transcendental idealism, transcendental-idealist philosophy. Husserl's thought profoundly influenced 20th-century philosophy, and he remains a notable figure in contemporary philosophy and beyond. Husserl studied mathematics, taught by Karl Weierstrass and Leo Königsberger, and philosophy taught by Franz Brentano and Carl Stumpf. He taught philosophy as a ''Privatdozent' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Martin Heidegger
Martin Heidegger (; 26 September 1889 – 26 May 1976) was a German philosopher known for contributions to Phenomenology (philosophy), phenomenology, hermeneutics, and existentialism. His work covers a range of topics including metaphysics, art, and language. In April 1933, Heidegger was elected as Rector (academia), rector at the University of Freiburg and has been widely criticized for his membership and support for the Nazi Party during his tenure. After World War II he was dismissed from Freiburg and banned from teaching after denazification hearings at Freiburg. There has been controversy about the relationship between Martin Heidegger and Nazism, his philosophy and Nazism. In Heidegger's first major text, ''Being and Time'' (1927), ''Dasein'' is introduced as a term for the type of being that humans possess. Heidegger believed that Dasein already has a "pre-ontological" and concrete understanding that shapes how it lives, which he analyzed in terms of the unitary structur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Düsseldorf
Düsseldorf is the capital city of North Rhine-Westphalia, the most populous state of Germany. It is the second-largest city in the state after Cologne and the List of cities in Germany with more than 100,000 inhabitants, seventh-largest city in Germany, with a 2022 population of 629,047. The Düssel, from which the city and the borough of Düsseltal take their name, divides into four separate branches within the city, each with its own mouth into the Rhine (Lower Rhine). Most of Düsseldorf lies on the right bank of the Rhine, and the city has grown together with Neuss, Ratingen, Meerbusch, Erkrath and Monheim am Rhein. Düsseldorf is the central city of the metropolitan region Rhine-Ruhr, the List of EU metropolitan regions by GDP#2021 ranking of top four German metropolitan regions, second biggest metropolitan region by GDP in the European Union, that stretches from Bonn via Cologne and Düsseldorf to the Ruhr (from Duisburg via Essen to Dortmund). The ''-dorf'' suffix mea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New York University
New York University (NYU) is a private university, private research university in New York City, New York, United States. Chartered in 1831 by the New York State Legislature, NYU was founded in 1832 by Albert Gallatin as a Nondenominational Christianity, non-denominational all-male institution near New York City Hall, City Hall based on a curriculum focused on a secular education. The university moved in 1833 and has maintained its main campus in Greenwich Village surrounding Washington Square Park. Since then, the university has added an engineering school in Brooklyn's MetroTech Center and graduate schools throughout Manhattan. NYU is one of the largest private universities in the United States by enrollment, with a total of 51,848 enrolled students in 2021. It is one of the most applied-to schools in the country and admissions are considered selective. NYU's main campus in New York City is organized into ten undergraduate schools, including the New York University College ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Josiah Willard Gibbs Lectureship
The Josiah Willard Gibbs Lectureship (also called the Gibbs Lecture) of the American Mathematical Society is an annually awarded mathematical prize, named in honor of Josiah Willard Gibbs. The prize is intended not only for mathematicians, but also for physicists, chemists, biologists, physicians, and other scientists who have made important applications of mathematics. The purpose of the prize is to recognize outstanding achievement in applied mathematics and "to enable the public and the academic community to become aware of the contribution that mathematics is making to present-day thinking and to modern civilization." The prize winner gives a lecture, which is subsequently published in the Bulletin of the American Mathematical Society The ''Bulletin of the American Mathematical Society'' is a quarterly mathematical journal published by the American Mathematical Society. Scope It publishes surveys on contemporary research topics, written at a level accessible to non-expert ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Medal Of Science
The National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral science, behavioral and social sciences, biology, chemistry, engineering, mathematics and physics. The twelve member presidential Committee on the National Medal of Science is responsible for selecting award recipients and is administered by the National Science Foundation (NSF). It is the highest science award in the United States. History The National Medal of Science was established on August 25, 1959, by an act of the Congress of the United States under . The medal was originally to honor scientists in the fields of the "physical, biological, mathematical, or engineering sciences". The Committee on the National Medal of Science was established on August 23, 1961, by Executive order (United States), executive order 10961 of President John F. Kennedy. O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Von Neumann Prize
The John von Neumann Prize (until 2019 named John von Neumann Lecture Prize) was funded in 1959 with support from IBM and other industry corporations, and began being awarded in 1960 for "outstanding and distinguished contributions to the field of applied mathematical sciences and for the effective communication of these ideas to the community". It is considered the highest honor bestowed by the Society for Industrial and Applied Mathematics (SIAM). The recipient receives a monetary award and presents a survey lecture at the SIAM Annual Meeting. Selection process Anybody is able to nominate a mathematician for the prize. Nominations are reviewed by a selection committee, consisting of members of SIAM who serve two-year appointments. The committee selects one recipient for the prize nine months before the SIAM Annual Meeting and forwards their nomination to SIAM's Executive Committee and Vice President for Programs. Past lecturers *1960: Lars Valerian Ahlfors *1961: Mark Ka ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lax–Friedrichs Method
The Lax–Friedrichs method, named after Peter Lax and Kurt O. Friedrichs, is a numerical method for the solution of hyperbolic partial differential equations based on finite differences. The method can be described as the FTCS (forward in time, centered in space) scheme with a numerical dissipation term of 1/2. One can view the Lax–Friedrichs method as an alternative to Godunov's scheme, where one avoids solving a Riemann problem at each cell interface, at the expense of adding artificial viscosity. Illustration for a Linear Problem Consider a one-dimensional, linear hyperbolic partial differential equation for u(x,t) of the form: u_t + a u_x = 0 on the domain b \leq x \leq c,\; 0 \leq t \leq d with initial condition u(x,0) = u_0(x)\, and the boundary conditions \begin u(b,t) &= u_b(t) \\ u(c,t) &= u_c(t). \end If one discretizes the domain (b, c) \times (0, d) to a grid with equally spaced points with a spacing of \Delta x in the x-direction and \Delta t in the t-direct ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
