21. National Academy Of Sciences - Deceased Member Site Map Testing 1 .. 2 .. 3 Testing 1 .. 2 .. 3 Advanced Search.whitney, hassler. Date of Birth, March 23, 1907. Elected to NAS, 1945 http://www4.nationalacademies.org/nas/nasdece.nsf/(urllinks)/NAS-58MULM?opendocu

22. History The NAS Building Legal Documents Giving To The National Whitmore, Frank Clifford whitney, hassler whitney, Willis R. Whittaker, RobertH. Whyburn, Gordon T. Wick, GianCarlo Wieland, Heinrich Wiersma, CAG http://www4.nationalacademies.org/nas/nasdece.nsf/urllinks/$$AlphaListW?OpenDocu

23. Whitney Biography of hassler whitney (19071989) hassler whitney attended YaleUniversity where he received his first degree in 1928, then continued to http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Whitney.html

Hassler Whitney Born: 23 March 1907 in New York, USA Died: 10 May 1989 in Mount Dents Blanches, Switzerland Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Hassler Whitney 's father was Edward Baldwin Whitney, a judge, and his mother was A Josepha Newcomb. Edward's father was William Dwight Whitney who was a linguist and one of the foremost Sanskrit scholars of his time, noted especially for his classic work, Sanskrit Grammar (1879). Josepha's father was Simon Newcomb who has a biography in this archive. Certainly Hassler had two very famous grandfathers. Whitney attended Yale University where he received his first degree in 1928, then continued to undertake mathematical research at the University of Harvard from where his doctorate was awarded in 1932. His doctorate was awarded for a dissertation The Coloring of Graphs written under Birkhoff 's supervision. Whitney was a keen mountaineer all his life and he made a particularly famous climb while an undergraduate. His grandson James writes:- Whitney made the first ascent of the Whitney Gilman ridge on Cannon cliff, New Hampshire in

24. References For Whitney References for the biography of hassler whitney. R Thom, La vie et l oeuvrede hassler whitney, CR Acad. Sci. Paris Sér. Gén. Vie Sci. http://www-gap.dcs.st-and.ac.uk/~history/References/Whitney.html

References for Hassler Whitney Version for printing Books: J Eells and D Toledo (eds.), Hassler Whitney, Collected papers I J Eells and D Toledo (eds.), Hassler Whitney, Collected papers II J Eells and D Toledo (eds.), Hassler Whitney : Collected papers Articles: A Lax, Hassler Whitney 1907-1989 - Some recollections 1979-1989, The Humanistic Mathematics Newsletter Obituary : Hassler Whitney, New York Times (12 May, 1989). A Shields, Differentiable manifolds : Weyl and Whitney, Math. Intelligencer R Thom, La vie et l'oeuvre de Hassler Whitney, H Whitney, Letting research come naturally, Mathematical Chronical J D Zund, Hassler Whitney, American National Biography (Oxford, 1999), 303-304. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR August 2005 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Whitney.html

25. The Mathematics Genealogy Project - Hassler Whitney According to our current online database, hassler whitney has 6 students and484 descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=4956

26. The Mathematics Genealogy Project - Update Data For Hassler Whitney If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=4956

27. Whitney - Wikipedia, The Free Encyclopedia People named whitney. Eli whitney inventor of the Cotton gin. hassler whitneywas an American mathematician. whitney Houston is an American singer. http://en.wikipedia.org/wiki/Whitney

Wikimedia needs your help in the final days of its fund drive. See our fundraising page Over US$225,000 has been donated so far! Other charities also need your help. Whitney From Wikipedia, the free encyclopedia. Whitney is an Old English surname that some believe to mean From or of the White Island . This surname has also been used as a first name for both males and females, and many locations around the world have been named Whitney after individuals with this name. People named Whitney Eli Whitney inventor of the Cotton gin Hassler Whitney was an American mathematician. Whitney Houston is an American singer. Gertrude Vanderbilt Whitney Harry Payne Whitney a businessman, thoroughbred horsebreeder William C. Whitney an American political leader and financier and founder of the prominent Whitney family. Pauline Payne Whitney an American heiress and a member of the prominent Whitney family. Payne Whitney an American political leader and financier and founder of the prominent Whitney family. Dorothy Payne Whitney an American-born social activist and philanthropist and a member of the prominent Whitney family. Whitney family Carl Whitney a Negro League baseball player.

28. Hassler Whitney (1907-1989) whitney, hassler, mathematician; bNYC, Mar. 23, 1907; s. hassler whitney (23March 1907 10 May 1989) was an American mathematician, who was one of the http://www.whitneygen.org/archives/biography/hassler.html

Hassler Whitney Who Was Who in America , vol. X, pp. 385-386: WHITNEY, HASSLER, For a mathematical biography, see the one at the MacTutor History of Mathematics Archive at St. Andrews University, Scotland. His collected papers have been published, and can be purchased on-line at Amazon.com In addition to an illustrious career as a mathematician, culminating with the Wolf Prize in 1982 and the Steele Prize in 1985 , he was also an avid mountain-climber. The Whitney-Gilman Ridge in New Hampshire was named for him and a cousin, who were the first to climb it. For more on that aspect of his life, see a rock climbing web page created by his grandson. From The Free Dictionary Hassler Whitney (23 March 1907 - 10 May 1989) was an American mathematician, who was one of the founders of singularity theory. He was born in New York City, and graduated from Yale University in 1928. He then did research work at Harvard University, under G.D. Birkhoff, writing a Ph.D in graph theory (1932). He then held positions at Harvard until 1952 (professor from 1946), moving to the Institute for Advanced Study at Princeton. He retired in 1977, and died in Switzerland. He was awarded a Wolf Prize in mathematics in 1983, and a Steele Prize in 1985.

29. Who Was Who In America, Whitney Extracts whitney, hassler, mathematician; bNYC, Mar. 23, 1907; s. Edward Baldwin and A.Josepha (Newcomb) W.; m. Margaret R. Howell, May 30, 1930; children James http://www.whitneygen.org/archives/extracts/whowaswho.html

Who Was Who in America , Whitney Extracts Marquis Who's Who, Who Was Who in America . (Chicago, IL: Marquis Who's Who LLC, 1966-present). Vol. X (1989-1993). [p. 385] WHITNEY, CORNELIUS VANDERBILT WHITNEY, HASSLER WHITNEY, WILLIAM KUEBLER , artist; b. New Orleans, July 6, 1921; s. Percy Macklin and Elizabeth (Kuebler) W.; m. Charlotte Armide Lamm; children: Charlene, Alice. B.F.A., Cranbrook Acad. Art, 1949, M.F.A., 1958. Owner, mgr. Whitney Silver Shop, Birmingham, Mich., 1950-58; from instr. to assoc. prof. art Olivet Coll., Mich., 1959-63, prof. 1973-79. Exhbns. include: Corcoran Biennial Am. Art, 1945; Octagon House, Washington, 1972; Detroit Inst. Art, 1949; one- man show: MeNeese State CoIl., 1984, Battle Creek Sister City exhbn., Takasaki, Japan, 1984. Served to with U.S. Army, 1942-45, PTO. Recipient Bronze medal for Still Life Soc. Washington Artists, 1942; Merit award Mich. Acad. Sci. Arts and Letters, Ann Arbor, 1950. Mem. Mich. Soc. Archtl. Historians, Battle Creek Artists Guild, AAUP., Eaton Art League (v.p. 1984). Avocations: photography. Died Oct. 7, 1915; buried Olivet (Mich.) Cemetery. Home: Olivet Mich. Back to Extracts Home Group List ... Misc.

30. Encyclopédies MacTutor Stanford Encycl. Philo. Etats-Unis 1907 1989 Translate this page Nom, whitney, hassler. Pays, Naissance, Mort. Encyclopédies, MacTutor, Stanford Encycl.Philo. Etats-Unis, 1907, 1989. http://thamous.univ-rennes1.fr/public/public_form_ref.php?id_ref=312&table=tpers

31. PNAS -- Index By Author (Jan 15 1947, 33 (1)) Walsh, JL whitney, hassler whitney, hassler whitney, hassler. Current Issue Archives Online Submission Info for Authors Subscribe About http://www.pnas.org/content/vol33/issue1/aindex.shtml

Index by Author: Jan 15 1947; 33 (1) [Table of Contents] A B C D E F G H I J K L M N O P Q R S T U V W X Y Z C Cicco, John De [PDF] K Kasner, Edward [PDF] S Schoenberg, I. J. [PDF] W Walsh, J. L. [PDF] Whitney, Hassler [PDF] Whitney, Hassler [PDF] Whitney, Hassler [PDF] Current Issue Archives Online Submission ... Site Map

32. PNAS -- Index By Author (Jul 15 1935, 21 (7)) whitney, hassler whitney, hassler. Current Issue Archives Online Submission Info for Authors Subscribe About Editorial Board Contact http://www.pnas.org/content/vol21/issue7/aindex.shtml

Index by Author: Jul 15 1935; 21 (7) [Table of Contents] A B C D E F G H I J K L M N O P Q R S T U V W X Y Z B Biot, M. A. [PDF] Boas, Franz [PDF] Borsook, Henry [PDF] C Campbell, H. L. [PDF] Cournand, Andre [PDF] D Dobzhansky, Th. [PDF] G Goodspeed, T. H. [PDF] J Jacques, A. G. [PDF] K Kamp, P. Van De [PDF] Kofoid, Charles A. [PDF] L Lane, Saunders Mac [PDF] M Miller, G. A. [PDF] Miller, G. A. [PDF] Mitchell, Alan L. [PDF] R Rappaport, Israel [PDF] Richards, Dickinson W. [PDF] S Seidel, W. [PDF] Sherman, H. C. [PDF] Snell, George D. [PDF] Steenrod, Norman E. [PDF] Stock, Chester [PDF] U Uber, Fred M. [PDF] V Veblen, Oswald [PDF] Vyssotsky, A. N. [PDF] W Whitney, Hassler [PDF] Whitney, Hassler [PDF] Current Issue Archives Online Submission ... Site Map

33. Noted Relations: WHITNEY Family whitney, Grace Lee *1930 American actress née Mary Ann Chase; *whitney,hassler 19071989 American mathematician; whitney, Henry Clay 1831-? http://freepages.history.rootsweb.com/~dav4is/people/WHITNEY.htm

OAS_AD('Top'); Directory Help Search Donate! Indices: Home Pedigrees ODTs Celebs ... Sources Gallery Annex Misc document.getElementById('FLAG').src = '/~dav4is/COM/loading.gif'; THIS IS A FREE SITE http://freepages.history.rootsweb.com/~dav4is/people/index.html NEWS WHITNEY pages Pedigrees ODTs Celebs Sources Gallery Annex A B C ... Z Celebrity Relations Noted Relations: WHITNEY Family WHITNEY Family ODT Contents: Relatives Candidates Work List Page services Name forms Whetney, Whettney, Whettny, Whitna, Whitne, Whitney, Whitny, Whittne, Whittney, Witney These people are all related to me. Relatives K E Y =ancestor, =cousin, =spouse, =family =Has bookmarks, =Recent changes (as of =Cross reference KIMBALL, Heber Chase LDS ) and potter, Apostle WHITNEY, Arthur Wilson WHITNEY, Eli WHITNEY, Frank Thomas WHITNEY, Gertrude Vanderbilt WHITNEY, Henry Payne WHITNEY, John Hay WHITNEY, Joseph WHITNEY, Josiah Dwight jr He was instrumental in placing mining geology on a firm scientific basis. WHITNEY, Newell Kimball LDS bishop He was the second presiding Bishop of the LDS Church. His daughter became known as Mother Whitney.

34. Josh Cooper's Math Pages : Whitney Numbers ranklevels of a geometric lattice L, in honor of the combinatorialist andtopologist hassler whitney, who more or less discovered/invented matroids. http://www.math.nyu.edu/~cooper/graph.html

Whitney Numbers I recently wrote a short C program to calculate the Whitney numbers of a graphical matroid very quickly. Below is the source, the executable (for a Win98 DOS console, sorry!), and some sample graphs. To run, simply double-click the executable, and give it the name of a graph file in the same directory as the executable when it asks for the filename. Sorry about the lack of annotation and the somewhat sloppy coding: it was written in haste. Feel free to clean it up and/or improve on my algorithms. Graph files are text files containing the adjacency matrix of a graph. Click here to download everything zipped up together (19K). Let me know if you see something interesting or make any significant improvements. So, what are Whitney numbers? The late Gian-Carlo Rota coined the term "Whitney numbers" to refer to the sizes of each of the rank-levels of a geometric lattice L , in honor of the combinatorialist and topologist Hassler Whitney, who more or less discovered/invented matroids. That is, the n th Whitney number is the number of flats in L with rank n . Don't know what a matroid or a geometric lattice is? No sweat, I'll describe the concept for graphs, and you can go read more if you think it's interesting.

35. James And Jennifer's Climbing Web My grandfather was hassler whitney, mathematician and mountaineer, who made thefirst hassler whitney subscribed to the fast and light school of http://melhuish.org/climb/

Home Introduction Photos Basement Gym ... Yosemite Jennifer on Social Outcast, 12a, Rumney. Favorite Places to Climb Rumney, New Hampshire (photos) Shawangunks, New York (photos) Cannon, New Hampshire (photos) Hammond Pond, Massachusetts (photos) Crow Hill, Massachusetts Acadia National Park, Maine (photos) Farley, Massachusetts (photos) New River Gorge, West Virginia (photos) New England Web Resources New England Bouldering.com NEClimbs.com Northeast Rock Climb New Hampshire ... Notes on climbing at Cannon Other Web Resources www.8a.nu is a website for high performance climbing. Very good. Information on the Gunks is at Metro Climbing Resources Trad Girl Rock and Ice Online Climbing Magazine We get good weather information from The Weather Channel Whitney—Gilman Ridge My grandfather took me (James) rock climbing at the age of 7 (in 1971) in the Sierra Nevada mountains. My grandfather was Hassler Whitney, mathematician and mountaineer, who made the first ascent of the Whitney Gilman ridge (5.7) on Cannon cliff, New Hampshire in 1929 with his cousin Bradley Gilman. This knife edge ridge is 700 feet high and is one of the most beautiful climbs on the east coast. Here is someone else's web page on climbing that features the Whitney Gilman ridge including photo. Notes on

36. Atlas: Hassler Whitney, The Applied Mathematics Panel, And Airborne Weapons Accu hassler whitney, then at Harvard, joined the group at Columbia working on questionsconcerning fire control systems, that is, systems which control the http://atlas-conferences.com/cgi-bin/abstract/caqo-67

Atlas home Conferences Abstracts about Atlas Joint Meeting of AMS, DMV, and ÖMG June 16-19, 2005 Johannes Gutenberg University Mainz, Germany Organizers Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS View Abstracts Conference Homepage Hassler Whitney, the Applied Mathematics Panel, and Airborne Weapons Accuracy by John McCleary Vassar College Date received: March 31, 2005 Atlas Conferences Inc. Document # caqo-67.

37. Citebase - Ravello Lecture Notes On Geometric Calculus -- Part I G/A, 2 whitney, hassler, Geometric Integration Theory, 1959. G/A, 3 whitney,hassler, Moscow 1935 Topology Moving Toward America, Collected Papers, http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:math-ph/0501001

38. Citebase - Set Maps, Umbral Calculus, And The Chromatic Polynomial G/A, 17 hassler whitney. A logical expansion in mathematics. Bull. Amer. Math.Soc., 38572579, 1932. G/A, 18 Gus Wiseman. A partition of connected http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:math/0507038

39. Benezet Centre Reports on the article by hassler whitney (the next item in this list).hassler whitney, Coming Alive in School Math and Beyond, Journal of Mathematical http://wol.ra.phy.cam.ac.uk/sanjoy/benezet/

Benezet Centre Over 70 years ago in Manchester, New Hampshire, children learnt no formal arithmetic until grade 6 (about age 11). The program's creator, Superintendent Louis Benezet, describes it like this: In the fall of 1929 I made up my mind to try the experiment of abandoning all formal instruction in arithmetic below the seventh grade and concentrating on teaching the children to read, to reason, and to recite - my new Three R's. And by reciting I did not mean giving back, verbatim, the words of the teacher or of the textbook. I meant speaking the English language. I picked out five rooms - three third grades, one combining the third and fourth grades, and one fifth grade. The paragraph above is from the first part of his classic three-part paper: L. P. Benezet, "The Teaching of Arithmetic I, II, III: The Story of an Experiment," Journal of the National Education Association Volume 24(8): 241-244 (November 1935) html pdf Volume 24(9): 301-303 (December 1935) html pdf Volume 25(1): 7-8 (January 1936) html pdf The articles were reprinted in the Humanistic Mathematics Newsletter #6: 2-14 (May 1991).

40. Whitney Embedding Theorem -- Facts, Info, And Encyclopedia Article The occasion of the proof by (Click link for more info and facts about hasslerwhitney) hassler whitney of the embedding theorem for smooth manifolds is http://www.absoluteastronomy.com/encyclopedia/w/wh/whitney_embedding_theorem.htm

Whitney embedding theorem [Categories: Theorems, Differential topology] In (Click link for more info and facts about differential topology) differential topology , the Whitney embedding theorem states that any smooth (Click link for more info and facts about second-countable) second-countable -dimensional (A pipe that has several lateral outlets to or from other pipes) manifold can be (Click link for more info and facts about embedded) embedded in (Click link for more info and facts about Euclidean) Euclidean -space. The result is sharp, in particular the (Click link for more info and facts about projective) projective A little about the proof Cases and can be done by hand. For a (Click link for more info and facts about general position) general position argument show that there is an (A form of baptism in which part or all of a person's body is submerged) immersion with (Click link for more info and facts about transversal) transversal self-intersections. Then apply the Whitney trick , i.e. the following procedure which removes self-intersections one by one. Whitney trick Suppose is a point of self-intersection and such that . Connect and by a

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