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Nancy Cole (mathematician)
Nancy Cole (October 15, 1902 – July 7, 1991) was an American mathematician who made important and pioneering contributions to Morse theory. Early life and education Cole was the daughter of a Boston grocer and the descendant of Mayflower immigrants. As a high school student in Plymouth, Massachusetts, her interest in mathematics was sparked by teacher Lucia Richardson. She studied at Jackson College, the women's sister school of Tufts University, from 1920 to 1922, mentored there by mathematician Edith Bush, before transferring to Vassar College, where she earned a bachelor's degree in 1924. She returned to study at Radcliffe College in 1926, earned a master's degree at Radcliffe in 1929, and completed her Ph.D. in 1934. Her dissertation, ''The Index Form Associated with an Extremaloid'', was supervised by Marston Morse, and she was acknowledged by Morse for her assistance in preparing his 1934 book ''The Calculus of Variations'', which began the study of Morse theory. Ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Morse Theory
In mathematics, specifically in differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold. According to the basic insights of Marston Morse, a typical differentiable function on a manifold will reflect the topology quite directly. Morse theory allows one to find CW structures and handle decompositions on manifolds and to obtain substantial information about their homology. Before Morse, Arthur Cayley and James Clerk Maxwell had developed some of the ideas of Morse theory in the context of topography. Morse originally applied his theory to geodesics ( critical points of the energy functional on the space of paths). These techniques were used in Raoul Bott's proof of his periodicity theorem. The analogue of Morse theory for complex manifolds is Picard–Lefschetz theory. Basic concepts To illustrate, consider a mountainous landscape surface M (more generally, a manifold). If f is the f ... [...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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Syracuse University Faculty
Syracuse may refer to: Places Italy *Syracuse, Sicily, or spelled as ''Siracusa'' *Province of Syracuse United States * Syracuse, New York ** East Syracuse, New York ** North Syracuse, New York * Syracuse, Indiana *Syracuse, Kansas *Syracuse, Missouri *Syracuse, Nebraska *Syracuse, Ohio *Syracuse, Utah Other *Syracuse (manufactured products), a history of products made in Syracuse, New York *Syracuse (satellite), a series of French military communications satellites *Syracuse Mets, a minor league baseball club *Syracuse University, in Syracuse, New York **Syracuse Orange, the collective identity for Syracuse University athletic teams See also *''The Boys from Syracuse'', a musical originally appearing on Broadway in 1938 ** ''The Boys from Syracuse'' (film), the 1940 musical film adaptation *The Collatz conjecture The Collatz conjecture is one of the most famous unsolved problems in mathematics. The conjecture asks whether repeating two simple arithmetic operations will ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Connecticut College Faculty
Connecticut () is the southernmost state in the New England region of the Northeastern United States. It is bordered by Rhode Island to the east, Massachusetts to the north, New York to the west, and Long Island Sound to the south. Its capital is Hartford and its most populous city is Bridgeport. Historically the state is part of New England as well as the tri-state area with New York and New Jersey. The state is named for the Connecticut River which approximately bisects the state. The word "Connecticut" is derived from various anglicized spellings of "Quinnetuket”, a Mohegan-Pequot word for "long tidal river". Connecticut's first European settlers were Dutchmen who established a small, short-lived settlement called House of Hope in Hartford at the confluence of the Park and Connecticut Rivers. Half of Connecticut was initially claimed by the Dutch colony New Netherland, which included much of the land between the Connecticut and Delaware Rivers, although the first ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kenyon College Faculty
Kenyon may refer to: Names * Kenyon (given name) * Kenyon (surname) Places * Kenyon, Cheshire, United Kingdom, a village * Kenyon, Minnesota, United States, a city * Kenyon, Rhode Island, United States, a village * Kenyon, former name of Pineridge, California, United States * Kenyon Peaks, Antarctica * Mount Kenyon, Antarctica Other uses * Kenyon Medal, awarded in recognition of work in the field of classical studies and archaeology * Baron Kenyon, a title in the Peerage of Great Britain * Kenyon & Kenyon, American law firm specializing in intellectual property * Kenyon College, Gambier, Ohio * Kenyon Bridge, a historic covered bridge in Cornish, New Hampshire * the title character of '' Daisy Kenyon'', 1947 film starring Joan Crawford and Henry Fonda See also * ''The Kenyon Review'', American literary journal * Kinyon (other) * Kenyan ) , national_anthem = " Ee Mungu Nguvu Yetu"() , image_map = , map_caption = , image_map ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sweet Briar College Faculty
Sweetness is a basic taste most commonly perceived when eating foods rich in sugars. Sweet tastes are generally regarded as pleasurable. In addition to sugars like sucrose, many other chemical compounds are sweet, including aldehydes, ketones, and sugar alcohols. Some are sweet at very low concentrations, allowing their use as non-caloric sugar substitutes. Such non-sugar sweeteners include saccharin and aspartame. Other compounds, such as miraculin, may alter perception of sweetness itself. The perceived intensity of sugars and high-potency sweeteners, such as Aspartame and Neohesperidin Dihydrochalcone, are heritable, with gene effect accounting for approximately 30% of the variation. The chemosensory basis for detecting sweetness, which varies between both individuals and species, has only begun to be understood since the late 20th century. One theoretical model of sweetness is the multipoint attachment theory, which involves multiple binding sites between a sweetness re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wells College Faculty
Wells most commonly refers to: * Wells, Somerset, a cathedral city in Somerset, England * Well, an excavation or structure created in the ground * Wells (name) Wells may also refer to: Places Canada * Wells, British Columbia England * Wells (Priory Road) railway station was a railway station in Wells, Somerset * Wells (Tucker Street) railway station was a railway station in Wells, Somerset * Wells (UK Parliament constituency), the UK parliamentary constituency in which the city of Wells, Somerset, is located * Wells-next-the-Sea, town and port in Norfolk ** Wells-on-Sea railway station was a railway station in Wells-next-the-Sea Scotland * Wells, Roxburghshire, a Scottish feudal barony United States *Wells, California, former name of Keene, California *Wells, Indiana *Wells, Kansas * Wells, Maine * Wells, Minnesota *Wells, Mississippi * Wells, Nevada * Wells, New York, a town **Wells (CDP), New York, a census-designated place in the town * Wells, Texas *Wells, Vermon ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vassar College Faculty
Vassar may refer to: * Vassar Brothers Medical Center * Vassar College * 1312 Vassar, an asteroid People * John Ellison Vassar (1813–1878), American lay preacher and missionary * Matthew Vassar (1792–1868), American brewer and merchant, founder of Vassar College * Phil Vassar (born 1964), American country music artist * Vassar B. Carlton (1912–2005), American jurist * Vassar Clements Vassar Carlton Clements (April 25, 1928 – August 16, 2005) was an American jazz, swing, and bluegrass fiddler. Clements has been dubbed the Father of Hillbilly Jazz, an improvisational style that blends and borrows from swing, hot jazz, and ... (1928–2005), American fiddler * Vassar Miller (1924–1998), American writer and poet Places * Vassar, Manitoba, Canada * Vassar, Idaho, US * Vassar, Kansas, US * Vassar, Michigan, US * Vassar Township, Michigan, US * Vassar Glacier, Alaska, US See also * Vassar-Smith baronets {{disambiguation, geo, surname, given name ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Radcliffe College Alumni
Radcliffe or Radcliff may refer to: Places * Radcliffe Line, a border between India and Pakistan United Kingdom * Radcliffe, Greater Manchester ** Radcliffe Tower, the remains of a medieval manor house in the town ** Radcliffe tram stop * Radcliffe, Northumberland * Radcliffe-on-Trent, Nottinghamshire ** Radcliffe railway station United States * Radcliffe, Iowa * Radcliff, Kentucky * Radcliffe, Lexington * Radcliff, Ohio Schools * Radcliffe College (1879–1999), a former women's college that was associated with Harvard University * Radcliffe Institute for Advanced Study (1999–present), a postgraduate study institute of Harvard University that has succeeded the former Radcliffe College * The Radcliffe School, a secondary school in Wolverton, Milton Keynes, England Other uses * Radcliffe (surname), including a list of people with the name * 1420 Radcliffe, a main-belt asteroid * Radcliffe baronets, a title in the Baronetage of the United Kingdom * Radclif ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vassar College Alumni
Vassar may refer to: * Vassar Brothers Medical Center * Vassar College * 1312 Vassar, an asteroid People * John Ellison Vassar (1813–1878), American lay preacher and missionary * Matthew Vassar (1792–1868), American brewer and merchant, founder of Vassar College * Phil Vassar (born 1964), American country music artist * Vassar B. Carlton (1912–2005), American jurist * Vassar Clements (1928–2005), American fiddler * Vassar Miller (1924–1998), American writer and poet Places * Vassar, Manitoba, Canada * Vassar, Idaho, US * Vassar, Kansas, US * Vassar, Michigan, US * Vassar Township, Michigan, US * Vassar Glacier, Alaska, US See also * Vassar-Smith baronets {{disambiguation, geo, surname, given name ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Women Mathematicians
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label previously known as Def American * American University, in Washington, D.C. Sports teams Soccer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
