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Hassler Whitney

Index Hassler Whitney

Hassler Whitney (March 23, 1907 – May 10, 1989) was an American mathematician. [1]

107 relations: Accademia dei Lincei, Addison-Wesley, Algebraic topology, American Journal of Mathematics, American Mathematical Monthly, American Mathematical Society, American Philosophical Society, Bartel Leendert van der Waerden, Bibliothèque nationale de France, Birkhäuser, Boston, Bulletin of the American Mathematical Society, Cambridge, Massachusetts, Cannon Mountain (New Hampshire), Characteristic class, Charles Fefferman, Cohomology, Collège de France, Combinatorics, Comptes rendus de l'Académie des Sciences, Dents Blanches, Differentiable manifold, Differential topology, Doctor of Philosophy, Don Mills, Dordrecht, E-book, Edward Baldwin Whitney, Embedding, Ferdinand Rudolph Hassler, Four color theorem, French Academy of Sciences, Geometric measure theory, George David Birkhoff, Graph isomorphism, Graph theory, Harvard University, Harvard University Press, Herbert Robbins, Homological integration, Immersion (mathematics), Institute for Advanced Study, J. H. C. Whitehead, James Eells, Jenny Harrison, John N. Mather, Josiah Whitney, Laurent Schwartz, Leroy P. Steele Prize, Line graph, ..., London, London Mathematical Society, Loomis–Whitney inequality, Manifold, Mathematical Reviews, Mathematician, Mathematics, Matroid, Menlo Park, California, Mount Whitney, Mountain, National Academy of Sciences, National Defense Research Committee, National Medal of Science, National Science Foundation, New York Academy of Sciences, New York City, New York Supreme Court, Oswald Veblen, Oxford University Press, Paul Olum, Paul R. Halmos – Lester R. Ford Award, Princeton University, Princeton University Press, Princeton, New Jersey, Proceedings of the American Philosophical Society, Reading, Massachusetts, René Thom, Representation theory, Richard Eliot Chamberlin, Roger Sherman, Roger Sherman Baldwin, Sanskrit, Simon Newcomb, Singularity theory, Smooth structure, Springer Science+Business Media, Steeves, Stiefel–Whitney class, Stokes' theorem, Swiss Alpine Club, The Mathematical Intelligencer, The New York Times, Topological manifold, Vector bundle, Whitney conditions, Whitney embedding theorem, Whitney extension theorem, Whitney immersion theorem, Whitney inequality, Whitney umbrella, Whitney's planarity criterion, Wilfred Kaplan, William Dwight Whitney, Wolf Foundation, Wolf Prize, Yale University. Expand index (57 more) »

Accademia dei Lincei

The Accademia dei Lincei (literally the "Academy of the Lynx-Eyed", but anglicised as the Lincean Academy) is an Italian science academy, located at the Palazzo Corsini on the Via della Lungara in Rome, Italy.

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Addison-Wesley

Addison-Wesley is a publisher of textbooks and computer literature.

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Algebraic topology

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.

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American Journal of Mathematics

The American Journal of Mathematics is a bimonthly mathematics journal published by the Johns Hopkins University Press.

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American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

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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.

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American Philosophical Society

The American Philosophical Society (APS), founded in 1743 and located in Philadelphia, is an eminent scholarly organization of international reputation that promotes useful knowledge in the sciences and humanities through excellence in scholarly research, professional meetings, publications, library resources, and community outreach.

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Bartel Leendert van der Waerden

Bartel Leendert van der Waerden (February 2, 1903 – January 12, 1996) was a Dutch mathematician and historian of mathematics.

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Bibliothèque nationale de France

The (BnF, English: National Library of France) is the national library of France, located in Paris.

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Birkhäuser

Birkhäuser is a former Swiss publisher founded in 1879 by Emil Birkhäuser.

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Boston

Boston is the capital city and most populous municipality of the Commonwealth of Massachusetts in the United States.

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Bulletin of the American Mathematical Society

The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.

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Cambridge, Massachusetts

Cambridge is a city in Middlesex County, Massachusetts, and part of the Boston metropolitan area.

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Cannon Mountain (New Hampshire)

Cannon Mountain (formerly Profile Mountain) is a peak in the White Mountains of New Hampshire.

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Characteristic class

In mathematics, a characteristic class is a way of associating to each principal bundle X a cohomology class of X. The cohomology class measures the extent the bundle is "twisted" — and whether it possesses sections.

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Charles Fefferman

Charles Louis Fefferman (born April 18, 1949) is an American mathematician at Princeton University.

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Cohomology

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups associated to a topological space, often defined from a cochain complex.

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Collège de France

The Collège de France, founded in 1530, is a higher education and research establishment (grand établissement) in France and an affiliate college of PSL University.

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Combinatorics

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

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Comptes rendus de l'Académie des Sciences

Comptes rendus de l'Académie des Sciences (English: Proceedings of the Academy of sciences), or simply Comptes rendus, is a French scientific journal which has been published since 1666.

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Dents Blanches

The Dents Blanches (from French, lit. White Teeth) is a mountain in the Chablais Alps on the Swiss-French border.

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Differentiable manifold

In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.

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Differential topology

In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds.

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Doctor of Philosophy

A Doctor of Philosophy (PhD or Ph.D.; Latin Philosophiae doctor) is the highest academic degree awarded by universities in most countries.

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Don Mills

Don Mills is a mixed-use neighbourhood in the North York district of Toronto, Ontario, Canada.

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Dordrecht

Dordrecht, colloquially Dordt, historically in English named Dort, is a city and municipality in the Western Netherlands, located in the province of South Holland.

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E-book

An electronic book (or e-book or eBook) is a book publication made available in digital form, consisting of text, images, or both, readable on the flat-panel display of computers or other electronic devices.

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Edward Baldwin Whitney

Edward Baldwin Whitney (August 16, 1857 – January 5, 1911) was an American lawyer and judge.

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Embedding

In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.

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Ferdinand Rudolph Hassler

Ferdinand Rudolph Hassler (October 7, 1770 – November 20, 1843) was a surveyor who worked mostly in the United States and also in Switzerland.

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Four color theorem

In mathematics, the four color theorem, or the four color map theorem, states that, given any separation of a plane into contiguous regions, producing a figure called a map, no more than four colors are required to color the regions of the map so that no two adjacent regions have the same color.

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French Academy of Sciences

The French Academy of Sciences (French: Académie des sciences) is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research.

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Geometric measure theory

In mathematics, geometric measure theory (GMT) is the study of geometric properties of sets (typically in Euclidean space) through measure theory.

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George David Birkhoff

George David Birkhoff (March 21, 1884 – November 12, 1944) was an American mathematician best known for what is now called the ergodic theorem.

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Graph isomorphism

In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H such that any two vertices u and v of G are adjacent in G if and only if ƒ(u) and ƒ(v) are adjacent in H. This kind of bijection is commonly described as "edge-preserving bijection", in accordance with the general notion of isomorphism being a structure-preserving bijection.

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Graph theory

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.

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Harvard University

Harvard University is a private Ivy League research university in Cambridge, Massachusetts.

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Harvard University Press

Harvard University Press (HUP) is a publishing house established on January 13, 1913, as a division of Harvard University, and focused on academic publishing.

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Herbert Robbins

Herbert Ellis Robbins (January 12, 1915 – February 12, 2001) was an American mathematician and statistician.

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Homological integration

In the mathematical fields of differential geometry and geometric measure theory, homological integration or geometric integration is a method for extending the notion of the integral to manifolds.

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Immersion (mathematics)

In mathematics, an immersion is a differentiable function between differentiable manifolds whose derivative is everywhere injective.

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Institute for Advanced Study

The Institute for Advanced Study (IAS) in Princeton, New Jersey, in the United States, is an independent, postdoctoral research center for theoretical research and intellectual inquiry founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld.

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J. H. C. Whitehead

John Henry Constantine Whitehead FRS (11 November 1904 – 8 May 1960), known as Henry, was a British mathematician and was one of the founders of homotopy theory.

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James Eells

James Eells (October 25, 1926, Cleveland, Ohio – February 14, 2007, Cambridge, UK) was an American mathematician, who specialized in mathematical analysis.

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Jenny Harrison

Jenny Harrison is a professor of mathematics at the University of California, Berkeley.

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John N. Mather

John Norman Mather (June 9, 1942 – January 28, 2017) was a mathematician at Princeton University known for his work on singularity theory and Hamiltonian dynamics.

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Josiah Whitney

Josiah Dwight Whitney (November 23, 1819 – August 18, 1896) was an American geologist, professor of geology at Harvard University (from 1865), and chief of the California Geological Survey (1860–1874).

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Laurent Schwartz

Laurent-Moïse Schwartz (5 March 1915 – 4 July 2002) was a French mathematician.

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Leroy P. Steele Prize

The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics.

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Line graph

In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges of G. The name line graph comes from a paper by although both and used the construction before this.

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London

London is the capital and most populous city of England and the United Kingdom.

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London Mathematical Society

The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS) and the Institute of Mathematics and its Applications (IMA)).

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Loomis–Whitney inequality

In mathematics, the Loomis–Whitney inequality is a result in geometry, which in its simplest form, allows one to estimate the "size" of a d-dimensional set by the sizes of its (d-1)-dimensional projections.

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Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

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Mathematical Reviews

Mathematical Reviews is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Matroid

In combinatorics, a branch of mathematics, a matroid is a structure that abstracts and generalizes the notion of linear independence in vector spaces.

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Menlo Park, California

Menlo Park is a city at the eastern edge of San Mateo County, in the San Francisco Bay Area of California, in the United States.

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Mount Whitney

Mount Whitney is the tallest mountain in California, as well as the highest summit in the contiguous United States and the Sierra Nevada—with an elevation of.

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Mountain

A mountain is a large landform that stretches above the surrounding land in a limited area, usually in the form of a peak.

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National Academy of Sciences

The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization.

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National Defense Research Committee

The National Defense Research Committee (NDRC) was an organization created "to coordinate, supervise, and conduct scientific research on the problems underlying the development, production, and use of mechanisms and devices of warfare" in the United States from June 27, 1940, until June 28, 1941.

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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 and social sciences, biology, chemistry, engineering, mathematics and physics.

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National Science Foundation

The National Science Foundation (NSF) is a United States government agency that supports fundamental research and education in all the non-medical fields of science and engineering.

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New York Academy of Sciences

The New York Academy of Sciences (originally the Lyceum of Natural History) was founded in January 1817.

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New York City

The City of New York, often called New York City (NYC) or simply New York, is the most populous city in the United States.

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New York Supreme Court

The Supreme Court of the State of New York is the trial-level court of general jurisdiction in the New York State Unified Court System.

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Oswald Veblen

Oswald Veblen (June 24, 1880 – August 10, 1960) was an American mathematician, geometer and topologist, whose work found application in atomic physics and the theory of relativity.

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Oxford University Press

Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.

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Paul Olum

Paul Olum (August 16, 1918 – January 19, 2001) was an American mathematician (algebraic topology), professor of mathematics, and university administrator.

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Paul R. Halmos – Lester R. Ford Award

The Paul R. Halmos – Lester R. Ford Award (formerly known as the Lester R. Ford Award) is a $1,000 prize given annually by the Mathematical Association of America for authors of articles of expository excellence published in The American Mathematical Monthly or Mathematics Magazine.

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Princeton University

Princeton University is a private Ivy League research university in Princeton, New Jersey.

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Princeton University Press

Princeton University Press is an independent publisher with close connections to Princeton University.

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Princeton, New Jersey

Princeton is a municipality with a borough form of government in Mercer County, New Jersey, United States, that was established in its current form on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township.

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Proceedings of the American Philosophical Society

Proceedings of the American Philosophical Society is a quarterly philosophy peer-reviewed journal published by the American Philosophical Society since 1838.

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Reading, Massachusetts

Reading is a town in Middlesex County, Massachusetts, United States, north of central Boston.

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René Thom

René Frédéric Thom (2 September 1923 – 25 October 2002) was a French mathematician.

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Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

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Richard Eliot Chamberlin

Richard Eliot Chamberlin (20 March 1923, Cambridge, Massachusetts – 14 March 1994) was an American mathematician, specializing in geometric topology.

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Roger Sherman

Roger Sherman (April 19, 1721 – July 23, 1793) was an early American statesman and lawyer, as well as a Founding Father of the United States.

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Roger Sherman Baldwin

Roger Sherman Baldwin (January 4, 1793 – February 19, 1863) was an American politician who served as the 32nd Governor of Connecticut from 1844 to 1846 and a United States Senator from 1847 to 1851.

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Sanskrit

Sanskrit is the primary liturgical language of Hinduism; a philosophical language of Hinduism, Sikhism, Buddhism and Jainism; and a former literary language and lingua franca for the educated of ancient and medieval India.

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Simon Newcomb

Simon Newcomb (March 12, 1835 – July 11, 1909) was a Canadian–American astronomer, applied mathematician and autodidactic polymath, who was Professor of Mathematics in the U.S. Navy and at Johns Hopkins.

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Singularity theory

In mathematics, singularity theory studies spaces that are almost manifolds, but not quite.

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Smooth structure

In mathematics, a smooth structure on a manifold allows for an unambiguous notion of smooth function.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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Steeves

Steeves is a surname, and may refer to.

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Stiefel–Whitney class

In mathematics, in particular in algebraic topology and differential geometry, the Stiefel–Whitney classes are a set of topological invariants of a real vector bundle that describe the obstructions to constructing everywhere independent sets of sections of the vector bundle.

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Stokes' theorem

In vector calculus, and more generally differential geometry, Stokes' theorem (also called the generalized Stokes theorem or the Stokes–Cartan theorem) is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus.

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Swiss Alpine Club

The Swiss Alpine Club (Schweizer Alpen-Club, Club Alpin Suisse, Club Alpino Svizzero, Club Alpin Svizzer) is the largest mountaineering club in Switzerland.

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The Mathematical Intelligencer

The Mathematical Intelligencer is a mathematical journal published by Springer Verlag that aims at a conversational and scholarly tone, rather than the technical and specialist tone more common among academic journals.

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The New York Times

The New York Times (sometimes abbreviated as The NYT or The Times) is an American newspaper based in New York City with worldwide influence and readership.

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Topological manifold

In topology, a branch of mathematics, a topological manifold is a topological space (which may also be a separated space) which locally resembles real n-dimensional space in a sense defined below.

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Vector bundle

In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X (for example X could be a topological space, a manifold, or an algebraic variety): to every point x of the space X we associate (or "attach") a vector space V(x) in such a way that these vector spaces fit together to form another space of the same kind as X (e.g. a topological space, manifold, or algebraic variety), which is then called a vector bundle over X.

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Whitney conditions

In differential topology, a branch of mathematics, the Whitney conditions are conditions on a pair of submanifolds of a manifold introduced by Hassler Whitney in 1965.

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Whitney embedding theorem

In mathematics, particularly in differential topology, there are two Whitney embedding theorems, named after Hassler Whitney.

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Whitney extension theorem

In mathematics, in particular in mathematical analysis, the Whitney extension theorem is a partial converse to Taylor's theorem.

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Whitney immersion theorem

In differential topology, the Whitney immersion theorem states that for m>1, any smooth m-dimensional manifold (required also to be Hausdorff and second-countable) has a one-to-one immersion in Euclidean 2m-space, and a (not necessarily one-to-one) immersion in (2m-1)-space.

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Whitney inequality

In mathematics, the Whitney inequality gives an upper bound for the error of best approximation of a function by polynomials in terms of the moduli of smoothness.

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Whitney umbrella

Section of the surface In mathematics, the Whitney umbrella (or Whitney's umbrella and sometimes called a Cayley umbrella) is a self-intersecting surface placed in three dimensions.

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Whitney's planarity criterion

In mathematics, Whitney's planarity criterion is a matroid-theoretic characterization of planar graphs, named after Hassler Whitney.

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Wilfred Kaplan

Wilfred Kaplan (November 28, 1915 – December 26, 2007) was a professor of mathematics at the University of Michigan for 46 years, from 1940 through 1986.

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William Dwight Whitney

William Dwight Whitney (February 9, 1827 – June 7, 1894) was an American linguist, philologist, and lexicographer known for his work on Sanskrit grammar and Vedic philology as well as his influential view of language as a social institution.

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Wolf Foundation

The Wolf Foundation is a private not-for-profit organization in Israel established in 1975 by Ricardo Wolf, a German-born Jewish Cuban inventor and former Cuban ambassador to Israel.

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Wolf Prize

The Wolf Prize is an international award granted in Israel, that has been presented most years since 1978 to living scientists and artists for "achievements in the interest of mankind and friendly relations among people...

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Yale University

Yale University is an American private Ivy League research university in New Haven, Connecticut.

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References

[1] https://en.wikipedia.org/wiki/Hassler_Whitney

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