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         Whitney Hassler:     more books (15)
  1. Geometric Integration Theory by Hassler Whitney, 2005-12-10
  2. Collected Papers of Hassler Whitney: Vol.2 (Contemporary Mathematicians) by James Eelles, Domingo Toledo, 1992-02-07
  3. Topology;: Lecture notes, Harvard, 1936 by Hassler Whitney, 1936
  4. Introduction to pure mathematics;: Lecture notes, Harvard University, 1948 by Hassler Whitney, 1948
  5. Geometric Integration Theory (Princeton Mathematical Series No. 21) by Hassler Whitney, 1957
  6. Can children remain themselves in the classroom?: An interview with Hassler Whitney by Hassler Whitney, 1980
  7. Collected Papers of Hassler Whitney (Contemporary Mathematicians)
  8. Elementary mathematics activities: Part A by Hassler Whitney, 1974
  9. Complex Analytic Varieties by Hassler Whitney, 1972
  10. Geometric Integration Theory (Princeton Mathematical Series No. 21) by Hassler Whitney, 1857
  11. The Collected Papers: v. 1 (Contemporary Mathematicians) by Hassler Whitney, 1991-12
  12. Geometric integration theory (Princeton mathematical series ; no 21) by Hassler Whitney, 1957
  13. A traverse of the Dent Blanche by Hassler Whitney, 1930
  14. A Lost Mathematician, Takeo Nakasawa: The Forgotten Father of Matroid Theory

41. Institute For Advanced Study -- Facts, Info, And Encyclopedia Article
Morton White, (Click link for more info and facts about hassler whitney)hassler whitney, Avi Wigderson, (Click link for more info and facts about Frank
http://www.absoluteastronomy.com/encyclopedia/i/in/institute_for_advanced_study.
Institute for Advanced Study
[Categories: Mathematical institutes, Scientific institutions]
The Institute for Advanced Study is a private institution in (Click link for more info and facts about Princeton Township, New Jersey) Princeton Township, New Jersey , designed to foster pure cutting-edge research by scientists in a variety of fields without the complications of teaching or funding, or the agendas of sponsorship. It is perhaps best known as the academic home of (Physicist born in Germany who formulated the special theory of relativity and the general theory of relativity; Einstein also proposed that light consists of discrete quantized bundles of energy (later called photons) (1879-1955)) Albert Einstein after his immigration to the (North American republic containing 50 states - 48 conterminous states in North America plus Alaska in northwest North America and the Hawaiian Islands in the Pacific Ocean; achieved independence in 1776) United States
The School
The Institute consists of a School of Historical Studies, a School of Mathematics, a School of Natural Sciences, a School of Social Science, and a newly created program in Theoretical Biology. There is a small permanent (One of the inherent cognitive or perceptual powers of the mind) faculty for each school, supplemented by the Visiting Members who are selected for

42. Whitney Moore Young Jr. - Definition Of Whitney Moore Young Jr. By The Free Onli
Information about whitney Moore Young Jr. in the free online English dictionary and whitney, Gertrude Vanderbilt whitney, hassler whitney, John Hay
http://www.thefreedictionary.com/Whitney Moore Young Jr.
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Cite / link Email Feedback Thesaurus Legend: Synonyms Related Words Antonyms Noun Whitney Moore Young Jr. - United States civil rights leader (1921-1971) Whitney Young Young civil rights activist civil rights leader ... civil rights worker - a leader of the political movement dedicated to securing equal opportunity for members of minority groups Mentioned in References in classic literature No references found No references found Dictionary/thesaurus browser Full browser whitlow whitlow grass Whitlow-wort whitlowwort ... Whitney Whitney Moore Young Jr. Whitney Young Whitneyite Whitson Whitsour ... Whitmore Village, HI

43. Greedoid: Information From Answers.com
whitney, hassler (1935). On the abstract properties of linear independence. Amer.J. Math. 57, 509–533. This entry is from Wikipedia,
http://www.answers.com/topic/greedoid
showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping greedoid Wikipedia greedoid In combinatorics , a greedoid is a type of set system . It rises from the notion of matroid , which was originally introduced by Whitney in 1935 to study planar graphs and was later used by Edmonds to characterize certain structures that can be optimized by a greedy algorithm . Around 1980 Korte and Lov¡sz introduced greedoid to further generalize the characterization on greedy algorithm and hence the name greed oid. Besides mathematical optimization, greedoid has also been connected to graph theory , language theory, poset theory, and other areas of mathematics.
Basic examples
In greedoid theory, you can be assured that each class of greedoid has at least a dozen equivalent definitions in terms of set system, language, poset, simplicial complex, etc. etc. Here we will just do it the traditional way and list only a couple of the more well-known examples. A set system F , E) is a collection F of subsets of a ground set E (i.e.

44. Whitney Umbrella: Information From Answers.com
It is named for hassler whitney. This entry is from Wikipedia, the leadingusercontributed encyclopedia. It may not have been reviewed by professional
http://www.answers.com/topic/whitney-umbrella
showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Whitney umbrella Wikipedia Whitney umbrella In mathematics , the Whitney umbrella in Singularity theory is commonly referred to as a self-intersecting rectangle placed in three dimensions, given by the parametric equations It is named for Hassler Whitney
This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see Best of the Web Some good "Whitney umbrella" pages on the web: Math mathworld.wolfram.com Mentioned In Whitney umbrella is mentioned in the following topics: List of surfaces List of mathematical topics (W) List of mathematical topics (V-Z) Wikipedia information about Whitney umbrella This article is licensed under the GNU Free Documentation License . It uses material from the Wikipedia article "Whitney umbrella" More from Wikipedia Your Ad Here Jump to: Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Send this page Print this page Link to this page Tell me about: Home About Tell a Friend Buzz ... Site Map

45. NCLB: Benezet/Whitney Thinking
Dr. hassler whitney, a distinguished mathematician at the Institute for AdvancedStudy in Princeton, says that for several decades mathematics teaching has
http://amte.sdsu.edu/becker/9-5-2004-benezet-whitney.htm
From the New York Times, Tuesday, June 10, 1986. See http://www.hackensackhigh.org/math.html ; See also http://www.inference.phy.cam.ac.uk/sanjoy/benezet/index.html
. Our thanks to Erwin Morton [Palo Alto, CA] for bringing the article to our attention.
Learning Math by Thinking By Fred M. Hechinger School reformers, business executives and politicians are demanding more mathematics for American children. Schools are responding, at least in terms of the hours given to math. Not all mathematicians are cheering. They worry that pressures for more hours of mathematics may hurt rather than help, unless mathematics is taught differently. Dr. Hassler Whitney, a distinguished mathematician at the Institute for Advanced Study in Princeton, says that for several decades mathematics teaching has largely failed. He predicts that the current round of tougher standards and longer hours threatens to "throw great numbers, already with great math anxiety, into severe crisis." Dr. Whitney has spent many years in classrooms, both teaching mathematics and observing how it is taught, and he calls for an end to what he considers wrongheaded ways. Long before school, he says, very young children "learn in manifold ways, at a rate that will never be equaled in later life, and with no formal teaching." For example, they learn to speak and communicate, and to deal with their environment. Yes the same children find much simpler things far more difficult as soon as they are formally taught in school.

46. Mat530 Texts
hassler whitney, Annals of Math. 37 (1936) 668672 Thanks to Larry Cruvant for this hassler whitney, Geometric Integration Theory, Princeton Univ.
http://www.math.sunysb.edu/~tony/archive/top/refs.html
MAT 530 (Fall 1995) Topology/Geometry I
Text and References
Text
John G. Hocking and Gail S. Young, Topology , Dover Publications, Inc., New York 1988. (This work was first published, by Addison-Wesley, in 1961)
This is an excellent book that gives the motivation for topological concepts along with rigorous definitions, and does a good job of communicating why topologists love topology. Some of the terminology is somewhat archaic. The concept of category appears only implicitly in the first section. The authors use transformation where today one more commonly hears map or mapping , and separated for our disconnected (beware a possible confusion with the French usage of to mean Hausdorff References Nicolas Bourbaki, General Topology John Kelly, General Topology , Van Nostrand, Princeton NJ 1955.
Includes all you ever wanted to know about the Axiom of Choice and more. This book is a model of elegant exposition; you know you're in the hands of a master. James Munkres, Topology, a First Course , Prentice Hall, Englewood Cliffs NJ 1975 Leopoldo Nachbin

47. %WachiKuniiMiyoshi99 \rhl{W} \refR Wachi, T., Kunii, TL, Miyoshi
J.; 4; 1972; 3134; %whitney57 % carl 23jun03 \rhl{} \refJ whitney, hassler; 1934; 369387; %whitneyH92 % MR 26aug98 \rhl{W} \refB whitney, hassler;
http://www.focm.net/at/spline/bib/W

48. Bibliography
whitney, hassler, 19071989, hassler whitney collected papers, Boston, Birkhauser,1992. Wielandt, Helmut, 1910-, Mathematische Werke = Mathematical works
http://www.library.cornell.edu/math/bibliography/display.cgi?start=W&

49. Wolf Prize -- From MathWorld
1982, hassler whitney (Institute for Advanced Study, Princeton, USA) and MarkGrigor evich Krein (Ukrainian SSR Academy of Sciences, Odessa, USSR)
http://mathworld.wolfram.com/WolfPrize.html
INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index
DESTINATIONS About MathWorld About the Author Headline News ... Random Entry
CONTACT Contribute an Entry Send a Message to the Team
MATHWORLD - IN PRINT Order book from Amazon History and Terminology Prizes Wolf Prize Five or six Wolf prizes are awarded yearly to outstanding living scientists and artists for achievements in the interest of mankind and friendly relations among peoples. In science, the fields are agriculture, chemistry, mathematics, medicine, physics; and in arts, the prize rotates annually among architecture, music, painting and sculpture. The prize in each area consists of a diploma and a cash award of $100,000. The prize has been awarded since 1978 by the Wolf Foundation, which was established in 1976 by Dr. Ricardo Wolf (1887-1981), inventor, diplomat, and philanthropist, and his wife Francisca Subirana-Wolf (1900-1981), to promote science and art for the benefit of mankind. The table below summarizes Wolf prize recipients in mathematics. year recipients Jean Leray (College de France, Paris, France) and andre Weil (Institute for Advanced Study, Princeton, U.S.A.)

50. Isabel’s Math Blog » Whitney Numbers
This is known as a “whitney number”, after hassler whitney. It is conjectured (byRota) that the sequence of whitney numbers of a graph is unimodal and
http://www.izzycat.org/math/index.php?p=47

51. Whitney Embedding Theorem
The occasion of the proof by hassler whitney of the embedding theorem for smoothmanifolds is said (rather surprisingly) to have been the first complete
http://www.algebra.com/algebra/about/history/Whitney-embedding-theorem.wikipedia
Whitney embedding theorem
Regular View Dictionary View (all words explained) Algebra Help my dictionary with pronunciation , wikipedia etc Wikimedia needs your help in its 21-day fund drive. See our fundraising page
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Whitney embedding theorem
In differential topology , the Whitney embedding theorem states that any smooth second-countable m -dimensional manifold can be embedded in Euclidean m -space. The result is sharp, in particular the projective m -space cannot be embedded into the Euclidean ( m )-space.
Contents

52. Hassler Whitney
Paths to Erdos Ahlfors 1981 Finland 4 Oscar Zariski 1981 USA 3 hassler whitney 1982 USA 2 2 Joseph L. Doob 1984 USA 2 hassler whitney 1985 USA 2 Saunders Mac Lane
http://www.algebra.com/algebra/about/history/Hassler-Whitney.wikipedia
Hassler Whitney
Regular View Dictionary View (all words explained) Algebra Help my dictionary with pronunciation , wikipedia etc 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.
Hassler Whitney
Hassler Whitney 23 March 10 May ) was an American mathematician who was one of the founders of singularity theory , PhB, Yale University , 1928; MusB, 1929; ScD (Honorary), 1947; PhD, Harvard University , under G.D. Birkhoff Instructor, Mathamatics, Harvard University, 1930-31, 1933-35; NRC Fellow, Mathematics, 1931-33; Assistant Professor, 1935-40; Associate Professor, 1940-46, Professor, 1946-52; Professor Instructor, Institute of Advanced Study, Princeton University, 1952-77; Professor Emeritus, 1977-89; Chairman of the Mathematics Panel, National Science Foundation, 1953-56; Exchange Professor, College de France, 1957; Memorial Committee, Support of Research in Mathematical Scienes, National Research Council, 1966-67; President, International Commission of Mathematical Instruction, 1979-82; Research Mathematicians, National Defense Research Committee, 1943-45; Construction of the School of Mathematics. Recipient, National Medal of Science, 1976, Wolf Prize , Wolf Foundation, 1983; and a

53. This Mathematical Month
March 1907 On the 23rd of that month, hassler whitney was born in New York.He attended Yale University and received his doctorate from Harvard University
http://www.ams.org/ams/thismathmonth.html
This Mathematical Month:
A Brief Look at Past Events and Episodes in the Mathematical Community
Monthly postings of vignettes on people, publications, and mathematics to inform and entertain. September:
September 1950: September 1994: Dirk Struik
celebrated his 100th birthday by giving a lecture at Brown University entitled "Mathematicians I Have Known." Born in Rotterdam in 1894, Struik received his Ph.D. in 1922 and held positions in Europe before joining the faculty of MIT in 1928, at the urging of Norbert Wiener. In his centenary lecture, Struik presented some personal reminiscences about David Hilbert. So inconspicous was Hilbert's presence that "you might take him for a bank teller," Struik said, but his complete command of the field of mathematics made him a formidable figure. Struik's lecture also painted striking portraits of Norbert Wiener and Emmy Noether. In 2000, Struik passed away at the age of 106. [See "Dirk Struik Celebrates his 100th," Notices of the AMS , January 1995; and "Dirk Jan Struik (1894-2000)," Notices of the AMS, June/July 2001.]

54. Matroids: The Value Of Abstraction
Photo of hassler whitney. Quick to develop the idea and related areas were SaundersMac Lane (1909) and Garrett Birkhoff (1911-1996), whose names are also
http://www.ams.org/featurecolumn/archive/matroids4.html
Matroids: The Value of Abstraction
Feature Column Archive
4. The development of a theory of matroids
The person generally credited with beginning the theory of matroids was Hassler Whitney (1907-1989). Whitney was a towering figure in American mathematics, having made major contributions to the theory of graphs and to topology. A whole host of mathematical objects are named after him, including several different Whitney numbers
Quick to develop the idea and related areas were Saunders Mac Lane (1909-) and Garrett Birkhoff (1911-1996), whose names are also linked for being the authors of an influential book on modern algebra for undergraduates.
Mac Lane showed connections between matroids and classical results in geometry. Specifically, he showed connections between matroids and the sets of points which lie on the lines of configurations such as the Desargues configuration and Pappus configuration in classical projective geometry (a geometry where no lines are parallel to each other). Because there are so many interesting examples of matroids, the theorems about general matroid structures have often been independently proved about these individual structures. This type of independent discovery has sometimes led to the questionable conclusion of independent rediscovery, which in no way is to take away from the impressive accomplishments of these individuals. Take for example, the case of Richard Rado (1906-1989).
The German born British mathematician Richard Rado did his work related to matroids in the context of transversals or systems of representatives for sets (defined in the next section). Rado wrote two doctoral theses in mathematics, the first in Germany (under I.

55. Geometric Methods In Cohomology Theory1
hassler whitney. Department of Mathematics, Harvard University whitney, hassler.Some Combinatorial Properties of Complexes. Proc Natl Acad Sci USA 1940
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=1078969

56. The Homology Structure Of Sphere Bundles
Free Full text in PMC; whitney, hassler. On the Theory of SphereBundles.Proc Natl Acad Sci USA 1940 Feb 15;26(2)148–153. Free Full text in PMC
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=1063175

57. A Brief History Of The Department Of Mathematics
The first offer Stone made was to hassler whitney. Stone s recommendation toappoint whitney was initially rejected by the administration, and it required
http://www.math.uchicago.edu/history.html
A Brief History of the Department
The University of Chicago, and with it the Department of Mathematics, opened its doors in October of 1892. The first chair of the department was Eliakim Hastings Moore, who had been an associate professor at Northwestern. He immediately appointed Oskar Bolza and Heinrich Maschke, and the three of them became the core of the department during the period 1892-1908. R.C. Archibald has described this group as follows: These three men supplemented one another remarkably. Moore was a fiery enthusiast, brilliant, and keenly interested in the popular mathematical research movements of the day; Bolza, a product of the meticulous German school of analysis led by Weierstrass, was an able, and widely read research scholar; Maschke was more deliberate than the other two, sagacious, brilliant in research, and a most delightful lecturer in geometry. During the period the University of Chicago was unsurpassed in America as an institution for the study of higher mathematics.

58. ICMI Bulletin No. 47, December 1999
Reports on ICME IV The General Assembly of ICMI (hassler whitney, Bent 9 A Message from the Retiring President (hassler whitney) 3
http://www.mathunion.org/Organization/ICMI/bulletin/47/ToC_1to29.html
The International Commission on Mathematical Instruction
ICMI

Bulletin No. 47

December 1999
Tables of Contents
ICMI Bulletin Nos. 1-29
The first issue of the Bulletin of the International Commission on Mathematical Instruction appeared in October 1972. ICMI President James Lighthill then presented the decision of Executive Committee of ICMI of establishing this means of communication as a response, following ICME-2 held that year in Exeter, to the "strongly felt demand for wide international discussion of all aspects of mathematical education". The ICMI Bulletin was thus seen as a means of "increasing the spread of information concerning activities of ICMI and other matters of interest to mathematical educators". . While it does contain some formal information about ICMI (vg annual or quadrennial reports), its main purpose is to provide information related to various aspects of the life of ICMI (announcements of activities, information about Affiliated Study Groups, etc.) as well as to general mathematics education issues as seen from an international perspective. Hence past issues of the Bulletin can be seen as a useful source of information on the history of ICMI itself and on aspects of the evolution of international trends in mathematics education. It was thus felt appropriate to make available in a single place the contents of past issues of the ICMI Bulletin. The previous issue of this Bulletin (No. 46, June 1999, pp. 42-49) lists the table of contents of the sixteen issues of the ICMI Bulletin published under the editorship of Mogens Niss (Nos. 30-45, 1991-1998). The table of contents of issues Nos. 1-29 appear below. These issues were respectively published under the following editors:

59. ICMI Bulletin No. 50, June 2001
president if ICMI, hassler whitney, in Princeton in the spring of 1982.hassler whitney is one of the great mathematicians of the twentieth century and
http://www.mathunion.org/Organization/ICMI/bulletin/50/asp_pres.html
    The International Commission on Mathematical Instruction
    ICMI

    Bulletin No. 50

    June 2001
    Some Aspects of my Terms as ICMI President
    Jean-Pierre Kahane
    ICMI? CIEM? When we first met after our election by the General Assembly of the International Mathematical Union in 1982, it was the first question Geoffrey Howson, the new ICMI Secretary, asked me as the new President. Though I am very much in favour of the use of French as well as other languages in international relations, we decided to stick to the recent tradition, ICMI, and not to return to the old one, CIEM. This is why we still have to distinguish "ICMI with an I" and "ICME with an E". Our first meeting was at Orsay, at the end of 1982, with Bent Christiansen and Ed Jacobsen, who was then in charge of Mathematics in the Education Division of UNESCO. It was a long meeting, several hours, where I learned a lot and we planed the first ICMI Studies, beginning with "The influence of computers and informatics on mathematics and its teaching". The ICMI Executive Committee entered in action on the first of January, 1983, with already a heavy program: to contact all national delegates; to prepare ICMI's participation to the International Congress of Mathematicians, 1983, in Warsaw; to prepare ICME in Adelaide 1984; to take care of regional meetings, and of the site of the International Mathematical Olympiads (there was a crisis in 1983, and the situation was saved by Claude Deschamps in Paris); and, last but not least, to mount the four ICMI Studies we already had in mind.

60. The Princeton Mathematics Community In The 1930s (PMC43)
hassler whitney. (with ALBERT TUCKER). We are here at the Institute for AdvancedStudy in Princeton in hassler whitney s office on 10 April 1984.
http://libweb.princeton.edu/libraries/firestone/rbsc/finding_aids/mathoral/pmc43
The Princeton Mathematics Community in the 1930s
Transcript Number 43 (PMC43)
HASSLER WHITNEY
(with ALBERT TUCKER) We are here at the Institute for Advanced Study in Princeton in Hassler Whitney's office on 10 April 1984. The interviewers are Albert Tucker from Princeton University and William Aspray from the Charles Babbage Institute. Tucker: Well, I guess you must have some recollections of the year that you were at Fine Hall as a National Research Council Fellow. That was '31-'32, wasn't it? Whitney: I have a very strong feeling about that year. It was a very wonderful year. It may not be quite so easy for me to find the details. I remember one item during the autumn: I think there were seven separate seminars in topology going on at the same time at one point. Tucker: Was it [James W.] Alexander that supposedly was your supervisor or [Solomon] Lefschetz or [Oswald] Veblen? Whitney: It was essentially Alexander. I don't remember if there was a formal requirement that I have a supervisor, but he served as one most of the time. Tucker: Whitney: I may have seen a lot more of Lefschetz than of Alexander, but I know that Alexander was the one I was most connected with, theoretically and preferably in a sense. After all he was a mountain climber, so how could I help it.

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