Gail S. Nelson
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Gail S. Nelson
Gail Susan Nelson (born 1959) is a mathematician who works as a professor of mathematics at Carleton College. Education and career Nelson did her undergraduate studies at the University of North Dakota. She completed her Ph.D. in 1988 at the University of Minnesota. Her dissertation concerned partial differential equations, and was supervised by Eugene Barry Fabes; it was ''Bounds for the Fundamental Solutions of Degenerate Parabolic Partial Differential Equations''. She joined the Carleton College faculty in the same year. Books Nelson is the author of two textbooks in mathematics: *''Recurrence and Topology'' (with John M. Alongi, Graduate Studies in Mathematics 85, American Mathematical Society, 2007), on dynamical systems. *''A User-Friendly Introduction to Lebesgue Measure and Integration'' (Student Mathematical Library 78, American Mathematical Society, 2015), on Lebesgue integration. She is also the editor-in-chief of the "Problem Books" book series of the Mathematical Assoc ...
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Carleton College
Carleton College ( ) is a private liberal arts college in Northfield, Minnesota. Founded in 1866, it had 2,105 undergraduate students and 269 faculty members in fall 2016. The 200-acre main campus is between Northfield and the 800-acre Cowling Arboretum, which became part of the campus in the 1920s. Admissions is highly selective with an acceptance rate of 16.5% in 2022, and Carleton is annually ranked near the top in most rankings of liberal arts schools. Carleton is particularly renowned for its undergraduate teaching, having been ranked #1 in Undergraduate Teaching by U.S. News & World Report for over a decade. Students can choose courses from 33 major programs and 31 minor programs and have the option to design their own major. Carleton's varsity sports compete at the NCAA Division III level in the Minnesota Intercollegiate Athletic Conference. Carleton is also known for its Division 1 Ultimate Frisbee teams, which have won multiple national championships. Among liber ...
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University Of North Dakota
The University of North Dakota (also known as UND or North Dakota) is a public research university in Grand Forks, North Dakota. It was established by the Dakota Territorial Assembly in 1883, six years before the establishment of the state of North Dakota. The university has the only schools olawanmedicinein the state of North Dakota. The John D. Odegard School of Aerospace Sciences was the first in the country to offer a degree iunmanned aircraft systems operation Several national research institutions are on the university's campus including the Energy and Environmental Research Center, the School of Medicine and Health Sciences, and the USDA Human Nutrition Research Center. It is classified among "R2: Doctoral Universities – High research activity". The National Science Foundation ranks UND #151 in the nation. History Founding UND was founded in 1883, six years before North Dakota became a state. UND was founded with a liberal arts foundation and expanded to include s ...
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University Of Minnesota
The University of Minnesota, formally the University of Minnesota, Twin Cities, (UMN Twin Cities, the U of M, or Minnesota) is a public university, public Land-grant university, land-grant research university in the Minneapolis–Saint Paul, Twin Cities of Minneapolis and Saint Paul, Minnesota, United States. The Twin Cities campus comprises locations in Minneapolis and Falcon Heights, Minnesota, Falcon Heights, a suburb of St. Paul, approximately apart. The Twin Cities campus is the oldest and largest in the University of Minnesota system and has the List of United States university campuses by enrollment, ninth-largest main campus student body in the United States, with 52,376 students at the start of the 2021–22 academic year. It is the Flagship#Colleges and universities in the United States, flagship institution of the University of Minnesota System, and is organized into 19 colleges, schools, and other major academic units. The Minnesota Territorial Legislature drafted a ...
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Partial Differential Equation
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to how is thought of as an unknown number to be solved for in an algebraic equation like . However, it is usually impossible to write down explicit formulas for solutions of partial differential equations. There is, correspondingly, a vast amount of modern mathematical and scientific research on methods to Numerical methods for partial differential equations, numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematics, pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such a ...
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Graduate Studies In Mathematics
Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American Mathematical Society (AMS). The books in this series are published ihardcoverane-bookformats. List of books *1 ''The General Topology of Dynamical Systems'', Ethan Akin (1993, ) *2 ''Combinatorial Rigidity'', Jack Graver, Brigitte Servatius, Herman Servatius (1993, ) *3 ''An Introduction to Gröbner Bases'', William W. Adams, Philippe Loustaunau (1994, ) *4 ''The Integrals of Lebesgue, Denjoy, Perron, and Henstock'', Russell A. Gordon (1994, ) *5 ''Algebraic Curves and Riemann Surfaces'', Rick Miranda (1995, ) *6 ''Lectures on Quantum Groups'', Jens Carsten Jantzen (1996, ) *7 ''Algebraic Number Fields'', Gerald J. Janusz (1996, 2nd ed., ) *8 ''Discovering Modern Set Theory. I: The Basics'', Winfried Just, Martin Weese (1996, ) *9 ''An Invitation to Arithmetic Geometry'', Dino Lorenzini (1996, ) *10 ''Representations of Finite and Compact Groups'', Barry Simon (199 ...
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Dynamical System
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, fluid dynamics, the flow of water in a pipe, the Brownian motion, random motion of particles in the air, and population dynamics, the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real number, real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a Set (mathematics), set, without the need of a Differentiability, smooth space-time structure defined on it. At any given time, a dynamical system has a State ...
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Lebesgue Integration
In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the -axis. The Lebesgue integral, named after French mathematician Henri Lebesgue, extends the integral to a larger class of functions. It also extends the domains on which these functions can be defined. Long before the 20th century, mathematicians already understood that for non-negative functions with a smooth enough graph—such as continuous functions on closed bounded intervals—the ''area under the curve'' could be defined as the integral, and computed using approximation techniques on the region by polygons. However, as the need to consider more irregular functions arose—e.g., as a result of the limiting processes of mathematical analysis and the mathematical theory of probability—it became clear that more careful approximation techniques were needed to define a suitable integral. Also, one might ...
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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 ...
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1959 Births
Events January * January 1 - Cuba: Fulgencio Batista flees Havana when the forces of Fidel Castro advance. * January 2 - Lunar probe Luna 1 was the first man-made object to attain escape velocity from Earth. It reached the vicinity of Earth's Moon, and was also the first spacecraft to be placed in heliocentric orbit. * January 3 ** The three southernmost atolls of the Maldive archipelago ( Addu Atoll, Huvadhu Atoll and Fuvahmulah island) declare independence. ** Alaska is admitted as the 49th U.S. state. * January 4 ** In Cuba, rebel troops led by Che Guevara and Camilo Cienfuegos enter the city of Havana. ** Léopoldville riots: At least 49 people are killed during clashes between the police and participants of a meeting of the ABAKO Party in Léopoldville in the Belgian Congo. * January 6 ** Fidel Castro arrives in Havana. ** The International Maritime Organization is inaugurated. * January 7 – The United States recognizes the new Cuban government of F ...
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Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ...
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21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman empero ...
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