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Robert L. Devaney
Robert Luke Devaney (born 1948) is an American mathematician, the Feld Family Professor of Teaching Excellence at Boston University. His research involves dynamical systems and fractals.. Education and career Devaney was born on April 9, 1948, and grew up in Methuen, Massachusetts. Devaney graduated in 1969 from the College of the Holy Cross,. and earned his Ph.D. in 1973 from the University of California, Berkeley under the supervision of Stephen Smale. Before joining the faculty at Boston University, he taught at Tufts University, Northwestern University, and the University of Maryland, College Park. Mathematical activities Devaney is known for formulating a simple and widely used definition of chaotic systems, one that does not need advanced concepts such as measure theory. In his 1989 book ''An Introduction to Chaotic Dynamical Systems'', Devaney defined a system to be chaotic if it has sensitive dependence on initial conditions, it is topologically transitive (for any tw ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Methuen, Massachusetts
Methuen () is a 23 square mile (60 km2) city in Essex County, Massachusetts, United States. The population was 53,059 at the 2020 census. Methuen lies along the northwestern edge of Essex County, just east of Middlesex County and just south of Rockingham County, New Hampshire. The city is bordered by Haverhill to the northeast, North Andover to the southeast, Lawrence and Andover to the south, Dracut (Middlesex County) to the west, Pelham, New Hampshire ( Hillsborough County) to the northwest, and Salem, New Hampshire ( Rockingham County) to the north. Methuen is located southwest from Newburyport, north-northwest of Boston and south-southeast of Manchester, New Hampshire. History Methuen was first settled in 1642 and was officially incorporated in 1726. Methuen was originally part of Haverhill, Massachusetts. In 1724 Stephen Barker and others in the western part of that town petitioned the General Court to grant them permission to form a new town above Hawke's Meadow ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dense Set
In topology and related areas of mathematics, a subset ''A'' of a topological space ''X'' is said to be dense in ''X'' if every point of ''X'' either belongs to ''A'' or else is arbitrarily "close" to a member of ''A'' — for instance, the rational numbers are a dense subset of the real numbers because every real number either is a rational number or has a rational number arbitrarily close to it (see Diophantine approximation). Formally, A is dense in X if the smallest closed subset of X containing A is X itself. The of a topological space X is the least cardinality of a dense subset of X. Definition A subset A of a topological space X is said to be a of X if any of the following equivalent conditions are satisfied: The smallest closed subset of X containing A is X itself. The closure of A in X is equal to X. That is, \operatorname_X A = X. The interior of the complement of A is empty. That is, \operatorname_X (X \setminus A) = \varnothing. Every point in X either ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heinz-Otto Peitgen
Heinz-Otto Peitgen (born April 30, 1945 in Bruch, Nümbrecht near Cologne) is a German mathematician and was President of Jacobs University from January 1, 2013 to December 31, 2013. Peitgen contributed to the study of fractals, chaos theory, and medical image computing, as well as helping to introduce fractals to the broader public. Life Peitgen studied mathematics, physics and economics from 1965 until 1971 in Bonn, where he received his PhD in 1973. His doctoral dissertation was entitled “Asymptotische Fixpunktsätze und Stabilität” (English: “Asymptotic Fixed-point Theorems and Stability”). After receiving his habilitation in 1977, he was awarded a professorship in mathematics at the University of Bremen, where he served until 2012. There, he was involved in establishing and developing the Institute for Dynamical Systems, where in 1982 he set up a computer graphics laboratory for mathematical experiments. Since 1992, Peitgen has served as the director of the Cent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Benoit Mandelbrot
Benoit B. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life". He referred to himself as a "fractalist" and is recognized for his contribution to the field of fractal geometry, which included coining the word "fractal", as well as developing a theory of "roughness and self-similarity" in nature. In 1936, at the age of 11, Mandelbrot and his family emigrated from Warsaw, Poland, to France. After World War II ended, Mandelbrot studied mathematics, graduating from universities in Paris and in the United States and receiving a master's degree in aeronautics from the California Institute of Technology. He spent most of his career in both the United States and France, having dual French and American citizenship. In 1958, he began a 35-year career at ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michael Barnsley
Michael Fielding Barnsley (born 1946) is a British mathematician, researcher and an entrepreneur who has worked on fractal compression; he holds several patents on the technology. He received his Ph.D. in theoretical chemistry from University of Wisconsin–Madison in 1972 and BA in mathematics from Oxford in 1968. In 1987 he founded Iterated Systems Incorporated, and in 1988 he published a book entitled ''Fractals Everywhere'' and in 2006 ''SuperFractals''. He has also published these scientific papers: "Existence and Uniqueness of Orbital Measures", "Theory and Applications of Fractal Tops", "A Fractal Valued Random Iteration Algorithm and Fractal Hierarchy", "V-variable fractals and superfractals", "Fractal Transformations" and "Ergodic Theory, Fractal Tops and Colour Stealing". He is also credited for discovering the collage theorem. Iterated Systems was initially devoted to fractal image compression (epitomised by the Barnsley fern), and later focused on image archive manag ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fellow
A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher educational institutions, a fellow can be a member of a highly ranked group of teachers at a particular college or university or a member of the governing body in some universities (such as the Fellows of Harvard College); it can also be a specially selected postgraduate student who has been appointed to a post (called a fellowship) granting a stipend, research facilities and other privileges for a fixed period (usually one year or more) in order to undertake some advanced study or research, often in return for teaching services. In the context of research and development-intensive large companies or corporations, the title "fellow" is sometimes given to a small number of senior scientists and engineers. In the context of medical education in No ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spain
, image_flag = Bandera de España.svg , image_coat = Escudo de España (mazonado).svg , national_motto = ''Plus ultra'' (Latin)(English: "Further Beyond") , national_anthem = (English: "Royal March") , image_map = , map_caption = , image_map2 = , capital = Madrid , coordinates = , largest_city = Madrid , languages_type = Official language , languages = Spanish language, Spanish , ethnic_groups = , ethnic_groups_year = , ethnic_groups_ref = , religion = , religion_ref = , religion_year = 2020 , demonym = , government_type = Unitary state, Unitary Parliamentary system, parliamentary constitutional monarchy , leader_title1 = Monarchy of Spain, Monarch , leader_name1 = Felipe VI , leader_title2 = Prime Minister of Spain ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tossa De Mar
Tossa de Mar () is a municipality in Catalonia, Spain, located on the coastal Costa Brava, about 103 kilometres north of Barcelona and 100 kilometres south of the French border. It is accessible through Girona Airport, some distance north. The GR 92 long distance footpath, which roughly follows the length of the Mediterranean coast of Spain, has a staging point at Tossa de Mar. Stage 10 links northwards to Sant Feliu de Guíxols, a distance of , whilst stage 11 links southwards to Lloret de Mar, a distance of . History There is ample evidence of settlements dating back to the Neolithic period, and it is believed that the area has been continuously populated since that time. Between the 4th-1st century BC the first Iberian settlements appeared, followed shortly after by the Romans in the 1st century. In 966, Tossa was ceded by Count Miró of Barcelona to the Abbey of Ripoll. Some two centuries later, in 1187, Tossa was granted its charter by the Abbot of Ripoll, coinciding wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Science Foundation
The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National Institutes of Health. With an annual budget of about $8.3 billion (fiscal year 2020), the NSF funds approximately 25% of all federally supported basic research conducted by the United States' colleges and universities. In some fields, such as mathematics, computer science, economics, and the social sciences, the NSF is the major source of federal backing. The NSF's director and deputy director are appointed by the President of the United States and confirmed by the United States Senate, whereas the 24 president-appointed members of the National Science Board (NSB) do not require Senate confirmation. The director and deputy director are responsible for administration, planning, budgeting and day-to-day operations of the foundation, while t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Deborah And Franklin Haimo Awards For Distinguished College Or University Teaching Of Mathematics
The Deborah and Franklin Tepper Haimo Awards for Distinguished College or University Teaching of Mathematics are awards given by the Mathematical Association of America to recognize college or university teachers "who have been widely recognized as extraordinarily successful and whose teaching effectiveness has been shown to have had influence beyond their own institutions." The Haimo awards are the highest teaching honor bestowed by the MAA. The awards were established in 1993 by Deborah Tepper Haimo and named after Haimo and her husband Franklin Haimo.. See in particulapp. 136–137 where founding this award is called Haimo's "most lasting accomplishment". After the first year of the award (when seven awards were given) up to three awards are given every year. Winners The winners of the award have been: *1993: Joseph Gallian, Robert V. Hogg, Anne Lester Hudson, Frank Morgan (mathematician), Frank Morgan, V. Frederick Rickey, Doris Schattschneider, and Philip D. Straffin Jr. *1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Association Of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry. The MAA was founded in 1915 and is headquartered at 1529 18th Street, Northwest in the Dupont Circle neighborhood of Washington, D.C. The organization publishes mathematics journals and books, including the '' American Mathematical Monthly'' (established in 1894 by Benjamin Finkel), the most widely read mathematics journal in the world according to records on JSTOR. Mission and Vision The mission of the MAA is to advance the understanding of mathematics and its impact on our world. We envision a society that values the power and beauty of mathematics and fully realizes its potential to promote human flourishing ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
