1. Smale Stephen Smale. Stephen Smale was born in Flint in east Michigan, a townfamed as the site of General Motors, the automobile company. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Smale.html

Stephen Smale Born: 15 July 1930 in Flint, Michigan, USA Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Stephen Smale was born in Flint in east Michigan, a town famed as the site of General Motors, the automobile company. He attended the University of Michigan, obtaining his BS in 1952 and his MS the following year. Smale continued to work for his doctorate at the University of Michigan, Ann Arbor under R Bott's supervision and he was awarded his Ph D in 1957 for the thesis Regular Curves on Riemannian Manifolds In his thesis he generalised results proved by Whitney in 1937 for curves in the plane to curves on an n-dimensional manifold. Smale was an instructor at the University of Chicago in 1956-58. In 1958 Smale learnt about Pontryagin 's work on structurally stable vector fields and he began to apply topological methods to study the these problems. He the spent the years 1958-60 at the Institute for Advanced Study at Princeton on a National Science Foundation Postdoctoral Fellowship. The last six months of this fellowship he spent at the Instituto de Mathematica Pura e Aplicada in Rio de Janeiro. Here he received a letter from Levinson which led him to study chaotic phenomena; we describe these ideas below.

2. Poster Of Smale Stephen Smale. was born in 1930. Smale received the Fields medal in1966 for his work on differential geometry. Find out more at http http://www-gap.dcs.st-and.ac.uk/~history/Posters2/Smale.html

Stephen Smale was born in 1930 Smale received the Fields medal in 1966 for his work on differential geometry Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Smale.html

3. Stephen Smale --  Encyclopædia Britannica Smale, Stephen Encyclopædia Britannica Article. MLA style Stephen Smale. Encyclopædia Britannica. 2004. Encyclopædia Britannica Premium Service. http://www.britannica.com/eb/article?eu=91712&tocid=0&query=stephen smale

4. Stephen Smale - Wikipedia, The Free Encyclopedia Stephen Smale. From Wikipedia, the free encyclopedia. Stephen Smale (born July 15,1930) is an American mathematician and winner of the Fields Medal in 1966. http://en.wikipedia.org/wiki/Stephen_Smale

Stephen Smale From Wikipedia, the free encyclopedia. Stephen Smale (born July 15 ) is an American mathematician and winner of the Fields Medal in . He made his reputation by a proof of the Poincare conjecture for all dimensions greater than 4. He then turned to the study of dynamical systems , where he made significant advances as well as outlining a research program carried out by many others. Smale is also known for work in mathematical economics, as well as recent explorations of various theories of computation. In 1998 he constructed a list of 18 problems in mathematics to be solved in the 21st century. This list was compiled in the spirit of Hilbert 's famous list of problems produced in 1900. In fact, Smale's list includes some of the original Hilbert problems. Smale's problems include the Jacobian conjecture and the Riemann hypothesis , both of which are still unsolved. Stephen Smale is also famous for the proof of sphere eversion . That is, turning a sphere inside out without creating any crease. edit External links Professor Stephen Smale http://www.cityu.edu.hk/ma/staff/smale/smale.html

5. Stephen Smale Stephen Smale. Major Resources on Stephen Smale Smale s Homepage atBerkeley; Smale s Homepage at City University, Hong Kong; Smale s http://cepa.newschool.edu/het/profiles/smale.htm

Stephen Smale Major works of Stephen Smale "Global Analysis and Economics, I: Pareto Optimum and a generalization of Morse theory", 1973, in M.M. Peixoto, editor, Dynamic Systems Differential Equations, Dynamical Systems, and Linear Algebra , with M. Hirsch, 1974. "Global Analysis and Economics, IIA", 1974, JMathE "Global Analysis and Economics, III: Pareto Optima and price equilibria", 1974, JMathE "Global Analysis and Economics, IV: Finiteness and stability of equilibria with general consumption sets and production", 1974, JMathE "Global Analysis and Economics, V: Pareto theory with constraints", 1974, JMathE "Global Analysis and Economics, VI: Geometric analysis of Pareto Optima and price equilibria under classical hypotheses", 1976, JMathE "Dynamics in General Equilibrium Theory", 1976, AER "A Convergent Process of Price Adjustment", 1976, JMathE "Exchange Processes with Price Adjustment", 1976, JMathE "Some Dynamical Questions in Mathematical Economics", 1977

6. Stephen Smale Stephen Smale. 1930. Stephen Smale was born in Flint, Michigan. He attended theUniversity of Michigan, obtaining his BS in 1952 and his MS the following year. http://www.stetson.edu/~efriedma/periodictable/html/Sm.html

Stephen Smale Stephen Smale was born in Flint, Michigan. He attended the University of Michigan, obtaining his B.S. in 1952 and his M.S. the following year. Smale continued to work for his doctorate at the University of Michigan, Ann Arbor, and he was awarded his Ph.D. in 1957 for the thesis Regular Curves on Riemannian Manifolds . In his thesis he generalized results proved by Whitney in 1937 for curves in the plane to curves on an n-dimensional manifold. He became an instructor at the University of Chicago in 1956. He did an NSF postdoctoral fellowship at the Institute for Advanced Study at Princeton from 1958 to 1960. He taught math at the University of California at Berkeley, then at Columbia University, then returned to a professorship at the University of California at Berkeley where he has spent the main part of his career. He retired from Berkeley in 1995 and took up a post as professor at the City University of Hong Kong. By the late 1960's, Smale had moved into applications. He modelled physical processes by dynamical systems, opening new lines of inquiry. The n-body problem and electric circuit theory were among the applications that Smale framed in the language of dynamical systems. For much of the 1970's, he focused on economics, injecting topology and dynamics into the study of general economic equilibria. Having established the nature of equilibria, Smale began to think algorithms for their computation. Smale's recent work has been on theoetical computer science. With co-workers Blum and Shub, he has developed a model of computation which includes both the Turing machine approach and the numerical methods of numerical analysis.

7. Stephen Smale - Encyclopedia Article About Stephen Smale. Free Access, No Regist encyclopedia article about Stephen Smale. Stephen Smale in Free onlineEnglish dictionary, thesaurus and encyclopedia. Stephen Smale. http://encyclopedia.thefreedictionary.com/Stephen Smale

Dictionaries: General Computing Medical Legal Encyclopedia Stephen Smale Word: Word Starts with Ends with Definition Stephen Smale (born July 15 July 15 is the 196th day (197th in leap years) of the year in the Gregorian Calendar, with 169 days remaining. Events 1099 - Christian soldiers take Church of the Holy Sepulchre in Jerusalem after a difficult siege during First Crusade. 1207 - John of England expels Canterbury monks for supporting Archbishop of Canterbury Stephen Langton 1381 - John Ball, veteran of Peasants' Revolt, executed in the presence of Richard II of England Click the link for more information. Centuries: 19th century - 20th century - 21st century Decades: 1880s 1890s 1900s 1910s 1920s - Years: 1925 1926 1927 1928 1929 - Events January 6 - The first diesel-engine automobile trip is completed (Indianapolis, Indiana, to New York City). February 18 - While studying photographs taken in January, Clyde Tombaugh discovers Pluto Click the link for more information. ) is an American For other uses see United States (disambiguation) The United States of America U.S.A.

8. H-principle - Encyclopedia Article About H-principle. Free Access, No Registrati smale stephen Smale (born 1930) is an American mathematician and winner ofthe Fields Medal. This paradox was discovered by Stephen Smale in 1958. http://encyclopedia.thefreedictionary.com/H-principle

Dictionaries: General Computing Medical Legal Encyclopedia H-principle Word: Word Starts with Ends with Definition Homotopy principle or for shortness h- principle is a very general way to solve partial differential equations In mathematics, and in particular calculus, a partial differential equation PDE ) is an equation involving partial derivatives of an unknown function. They usually have many solutions; one often considers additional boundary conditions which restrict the solution set. Where ordinary differential equations have solutions that are families with each solution characterized by the values of some parameters, for a PDE it is more helpful to think that the parameters are function data (informally put, this means that the set of solutions is much larger). That is true fairly generally, unless the equations are heavily over-determined. Click the link for more information. PDE (and more generally partial differential relations PDR). h -principle is good for underdetermined PDE or PDR such as immersion problem, isometric immersions problem and so on. The theory was started by works of Eliashberg, Gromov and Phillips and was based on earlier results of Hirsch, Kuiper

9. Stephen T. Smale Stephen Smale studies mechanisms of transcriptional regulation during the developmentand function of the immune system. HHMI INVESTIGATORS / Stephen T. Smale. http://www.hhmi.org/science/immuno/smale.htm

HHMI INVESTIGATORS / Stephen T. Smale HHMI INVESTIGATORS HHMI INVESTIGATOR ALUMNI INTERNATIONAL RESEARCH SCHOLARS HHMI-NIH RESEARCH SCHOLARS ... HHMI HOME ALSO OF INTEREST Search PubMed Dr. Smale's Homepage Gene Activation and Silencing in the Immune System Stephen T. Smale, Ph.D. Investigator, University of California, Los Angeles, School of Medicine Biography... Summary: Stephen Smale studies mechanisms of transcriptional regulation during the development and function of the immune system. One focus is on the mechanisms of heritable gene silencing during T cell development. (These studies are funded by a grant from the National Institutes of Health.) Our interest in gene silencing began with an observation made in collaboration with Amanda Fisher and Matthias Merkenschlager (Imperial College School of Medicine, Hammersmith Hospital, London) that a key regulator of lymphocyte development, Ikaros, is localized to foci of pericentromeric heterochromatin. These foci contain the pericentromeric repeat sequences from all murine chromosomes, which assemble into a repressive chromatin environment in interphase nuclei. The Fisher and Merkenschlager laboratories have shown that lymphocyte development is accompanied by the repositioning of the silent genes to the Ikaros-containing pericentromeric foci. Studies are under way to determine whether Ikaros is a direct contributor to the pericentromeric recruitment of developmentally regulated genes. During these studies, it became apparent that our ability to elucidate the functions of Ikaros was hindered by a general deficiency in knowledge of the assembly of silent chromatin. Although much is known about the hallmarks of silent chromatin, technical hurdles have slowed efforts to define the pathways involved in assembling silent chromatin at developmentally regulated genes. In particular, to study the temporal order of events involved in silent chromatin assembly, we need large quantities of primary cells maintained at an immature developmental stage. Furthermore, it must be possible to stimulate cell maturation ex vivo in a highly efficient and synchronous manner.

10. Stephen Smale Smale, Stephen, 1930 Mathematicians United States Biography History Philosophy Mathematics Scientists - General Biography Autobiography . http://topics.practical.org/browse/Stephen_Smale

topics.practical.org Stephen Smale Differential Equations, Dynamical Systems, and an Introduction to Chaos Robert L. Devaney Morris Hirsch Stephen Smale ... Science/Mathematics

11. Médailles Fields Translate this page 1966 (Moscou) COHEN Paul Joseph, Etats-Unis théorie des ensembles smale stephen,Etats-Unis variétés différentielles (conjecture de Poincaré, n 5 http://www.sciences-en-ligne.com/momo/chronomath/anx3/med_fields.html

LES MEDAILLES FIELDS historique du prix 1936 (Oslo) : AHLFORS Lars, Finlande DOUGLAS Jesse, Etats-Unis Plateau 1950 (Harvard) : SCHWARTZ Laurent , France fonctions z de Riemann 1954 (Amsterdam) : KODAIRA Kunihiko , Japon SERRE Jean-Pierre , France 1958 (Edimbourg) : , France ROTH Klaus Friedrich , Grande-Bretagne (nombres transcendants) 1962 (Stockholm) : MILNOR John, Etats-Unis cobordisme 1966 (Moscou) : COHEN Paul Joseph , Etats-Unis SMALE Stephen, Etats-Unis , n GROTHENDIECK Alexander , France ATIYAH Michael Francis, Grande-Bretagne 1970 (Nice) : BAKER Alan , Grande-Bretagne (nombres transcendants) THOMPSON John , Grande-Bretagne HIRONAKA Heisuke, Japon/USA 1974 (Vancouver) : BOMBIERI Enrico, Italie (nombres premiers) MUMFORD David Briant, Etats-Unis 1978 (Helsinki) : DELIGNE Pierre , Belgique FEFFERMAN Charles Louis, Etats-Unis QUILLEN Daniel G., Etats-Unis MARGULIS Gregory A., U.R.S.S. groupes de Lie 1982 (Varsovie) : CONNES Alain , France Von Neumann SHING-TUNG Yau, Etats-Unis

12. SmartPedia.com - Free Online Encyclopedia - Encyclopedia Books. Stephen Smale. Everything you wanted to know about Stephen Smale but hadno clue how to find it.. Learn about Stephen Smale here! Stephen Smale. http://www.smartpedia.com/smart/browse/Stephen_Smale

Search: Math and Natural Sciences Applied Arts Social Sciences Culture ... Interdisciplinary Categories Stephen Smale Stephen Smale (born July 15 ) is an American mathematician and winner of the Fields Medal in . He made his reputation by a proof of the Poincare conjecture for all dimensions greater than 4. He then turned to the study of dynamical systems , where he made significant advances as well asoutlining a research program carried out by many others. Smale is also known for work in mathematical economics, as well asrecent explorations of various theories of computation. In 1998 he constructed a list of 18 problems in mathematics to be solvedin the 21st century. This list was compiled in the spirit of Hilbert 'sfamous list of problems produced in 1900. In fact, Smale's list includes some of the original Hilbert problems. Smale's problemsinclude the Jacobianconjecture and the Riemann hypothesis , both of which arestill unsolved. Stephen Smale is also famous for the proof of sphere eversion .That is, turning a sphere inside out without creating any crease. External links Professor Stephen Smale http://www.cityu.edu.hk/ma/staff/smale/smale.html

13. Researcher Profile Name Prof smale stephen §. Enquiries Department of Mathematics(MA). § Former staff member of City University of Hong Kong http://roweb2.cityu.edu.hk:90/profile/669F.htm

Name: Prof SMALE Stephen Enquiries: Department of Mathematics (MA) Former staff member of City University of Hong Kong

14. Stephen Smale's Schedule Stephen Smale s Schedule. Email ssmale@gac.edu. Semester Spring 2004.Department Office Location Office Phone Office Hours Monday http://www.gustavus.edu/lcgi-bin/scheduler/ssmale

Stephen Smale's Schedule Email: ssmale@gac.edu Semester: Spring 2004 Department: Office Location: Office Phone: Office Hours: Evening classes are not shown on this schedule.

15. Stephen Smale Stephen Smale. . Resources on Stephen Smale Smale s Homepageat Berkeley; Smale s Homepage at City University, Hong Kong; http://cruel.org/econthought/profiles/smale.html

Stephen Smale $B86%Z! <%8(B $B!!(B WWW $B8!:w(B cruel.org $B8!:w(B Major works of Stephen Smale "Global Analysis and Economics, I: Pareto Optimum and a generalization of Morse theory", 1973, in M.M. Peixoto, editor, Dynamic Systems Differential Equations, Dynamical Systems, and Linear Algebra , with M. Hirsch, 1974. "Global Analysis and Economics, IIA", 1974, JMathE "Global Analysis and Economics, III: Pareto Optima and price equilibria", 1974, JMathE "Global Analysis and Economics, IV: Finiteness and stability of equilibria with general consumption sets and production", 1974, JMathE "Global Analysis and Economics, V: Pareto theory with constraints", 1974, JMathE "Global Analysis and Economics, VI: Geometric analysis of Pareto Optima and price equilibria under classical hypotheses", 1976, JMathE "Dynamics in General Equilibrium Theory", 1976, AER "A Convergent Process of Price Adjustment", 1976, JMathE "Exchange Processes with Price Adjustment", 1976, JMathE "Some Dynamical Questions in Mathematical Economics", 1977, Colloques Internationaux du Centre National de la Recherche Scientifique "An Approach to the Analysis of Dynamic Processes in Economic Systems", 1977

16. Stephen Smale Stephen Smale. Stephen Smale je matematik Americana a vítez Medailepolí. Stephen Smale je také slavný pro korekturu koule eversion. http://wikipedia.infostar.cz/s/st/stephen_smale.html

švodn­ str¡nka Tato str¡nka v origin¡le Stephen Smale Stephen Smale je matematik Američana a v­těz Medaile pol­ . On z­skal si jeho pověst důkazem Poincare dohad pro vÅ¡echny vyÅ¡Å¡­ rozměry. On pak se obr¡til ke studiu dynamical syst©my V 1998 on postavil seznam 18 probl©mů v matematika b½t řeÅ¡en v 21st stolet­. Toto seznam byl sestaven v duchu Hilbert ' s slavn½ seznam probl©mů produkoval v 1900. V podstatě, Smale je seznam zahrnuje někter© ty origin¡ln­ Hilbert probl©my. Smale m¡ probl©my obsahovat Jacobian dohad a Riemann hypot©za , oba kter½ b½t jeÅ¡tě nevyřeÅ¡en½. Stephen Smale je tak© slavn½ pro korekturu koule eversion. To je, ot¡Äet vnitřek koule ven bez způsoben­ někter½ zaniknout. Toto je strojov½ překlad čl¡nku z encyklopedie Wikipedia poř­zen½ překladačem Eurotran . Cel½ text je dostupn½ za podm­nek GNU FDL licence

17. HHMI DIRECTORY FAX 2068623. smale stephen SMALE 206-4777 6730 smale@mednet.ucla.edu./905 KIM SIMMONDS 794-7946 6760 kimsim@microbio.ucla.edu. DANA http://www.hhmi.ucla.edu/directory with emails.htm

UCLA/016: 5-748 MRL, 675 Charles E. Young Drive South, Los Angeles, CA 90095-1662 DEPT NAME TELEPHONE LOCATION EMAIL ADDRESS OAS DEBORA MUELLER muellerd@hhmi.org JILL HUTCHESON hutcheso@hhmi.org HASHIM TUCKER tuckerh@hhmi.org FAX GLASS- BECKY WITTY-ELLIS awitty@hhmi.org WASH MARGIE SMITH MORENA VILLANUEVA FAX WITTE OWEN WITTE owenw@microbio.ucla.edu BARBARA ANDERSON barbaraa@microbio.ucla.edu SHIRLEY QUAN shirleyq@microbio.ucla.edu LAB FAX KABACK RON KABACK ronaldk@hhmi.ucla.edu GEOFFREY ULRICH hrk-secy@hhmi.ucla.edu VLADIMIR KASHO vkasho@hhmi.ucla.edu LAB FAX SMALE STEPHEN SMALE smale@mednet.ucla.edu KIM SIMMONDS kimsim@microbio.ucla.edu DANA RUSSELL /LAB drussell@microbio.ucla.edu FAX ZIPURSKY LARRY ZIPURSKY zipursky@hhmi.ucla.edu KAREN RONAN mozart@hhmi.ucla.edu LINDA BALLARD LAB ballard@hhmi.ucla.edu FAX SIMPSON LARRY SIMPSON simpson@kdna.ucla.edu PAT MORI pmori@lifesci.ucla.edu JAFAR GHAZVINI LAB jafarg@ucla.edu FAX BLACK DOUGLAS BLACK dougb@microbio.ucla.edu KIM SIMMONDS kimsim@microbio.ucla.edu JULIA NIKOLIC LAB julian@hhmi.ucla.edu FAX DeROBERTIS EDDY DeROBERTIS ederobertis@mednet.ucla.edu ANA DeROBERTIS ana@mednet.ucla.edu

18. Stephen Smale's Home Page Professor stephen smale. PhD (Michigan) Research Interest Complexity and Computation http://www.cityu.edu.hk/ma/staff/smale.html

Professor Stephen Smale PhD (Michigan) Research Interest: Complexity and Computation

19. Stephen Smale's Home Page Professor stephen smale. PhD (Michigan). Born in Michigan, USA, Professorsmale received his PhD degree from the University of Michigan http://www.cityu.edu.hk/ma/staff/smale/smale.html

Professor Stephen Smale PhD (Michigan) B orn in Michigan, USA, Professor Smale received his PhD degree from the University of Michigan in 1957, and within four years became a full Professor at Columbia University. In 1964, he was named a Professor at the University of California, Berkeley and held the post for 30 years before joining City University as a Distinguished University Professor. Professor Smale has made significant contributions in the fields of dynamical systems, geometry, econometrics, operational research, topology and the mathematical theory of computer science. These contributions have resulted in a number of academic awards and achievements including his holding of the prestigious Alfred Solan Research Fellowship from 1960-62. In 1966, Professor Smale won a Fields Medal - a international medal awarded once every four years for outstanding discoveries in mathematics. This honour is comparable to a Nobel Prize and is traditionally awarded to mathematicans under 40 years of age. Important honours bestowed upon Professor Smale during his distinguished academic career include the 1965 Veblen Prize for Geometry, awarded every five years by the American Mathematical Society; in 1988, the Chauvenet Prize by the Mathematical Association of America; and in 1989, the Von Neumann Award by the Society for Industrial and Applied Mathematics. Professor Smale is a member of both the National Academy of Sciences and the American Academy of Arts and Sciences. He is recognized internationly in many fields of Mathematics, and has been invited as Visiting Professor to such esteemed institutions as College de France, Paris (Spring 1962), University of Paris, Orsay (Fall 1972-73), Yale University (Fall 1974) and Columbia University (Fall 1987).

20. File Not Found Faculty. LAAC. Administrative. Guests. FAQ. Events/Seminars. Recruiting. Press. Faculty Dr. stephen smale. Professor stephen smale ( PhD - University of Michigan) http://www.tti-c.org/smale.shtml

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