Stephen Smale의 정보
수상나이 36
출생년도 1930
사망년도
출생지 Flint(Michigan)
현재소속 University of California at Berkeley
관련출판물 1.S Batterson, The mathematical work of Stephen Smale, Notices Amer. Math. Soc. 43 (12) (1996), 1527-1528.
2.J Palis, On the contribution of Smale to dynamical systems, in From Topology to Computation : Proceedings of the Smalefest (New York, 1993), 165-178.
3.M M Peixoto, Some recollections of the early work of Steve Smale, in From Topology to Computation : Proceedings of the Smalefest (New York, 1993), 73-75.
4.D B Shmoys and S Batterson, Karp and Smale receive National Medals of Science, Notices Amer. Math. Soc. 43 (12) (1996), 1524-1528.
5.S Smale, An hour's conversation with Stephen Smale, Nonlinear Sci. Today 1 (1) (1991), 1; 3; 12-17.
6.S Smale, Bibliography, in M Atiyah and D Iagolnitzer (eds.), Fields Medallistists Lectures (Singapore, 1997), 137-141.
7.S Smale, A survey of some recent developments in differential topology, Bull. Amer. Math. Soc. 69 (2) (1963), 133-145.
8.R Thom, Sur les travaux de Stephen Smale, Proceedings of the International Congress of Mathematicians, Moscow, 1966 (Moscow, 1968).
9.A J Tromba, Smale and nonlinear analysis : a personal perspective, in From Topology to Computation : Proceedings of the Smalefest (New York, 1993), 481-492.
시상내역 Worked in differential topology where he proved the generalized Poincare conjecture in dimension n>=5: Every closed, n-dimensional manifold homotopy-equivalent to the n-dimensional sphere is homeomorphic to it. Introduced the method of handle-bodies to solve this and related problems.
Other Award The Veblen Prize
연구단행본 [1] Smale, Stephen The collected papers of Stephen Smale. Vol. 1--3. Edited by F. Cucker and R. Wong. Singapore University Press, Singapore; World Scientific Publishing Co., Inc., River Edge, NJ, 2000. Vol. 1: xxxiv+488 pp.; Vol. 2: pp. i--xii and 489--1031; Vol. 3: pp. i--xii and 1033--1677. ISBN: 981-02-4307-3 01A75
[2] Smale, Steve Mathematical problems for the next century. Mathematics: frontiers and perspectives, 271--294, Amer. Math. Soc., Providence, RI, 2000. 00A05 (00-02 01A61 01A67)
[3] Batterson, Steve Stephen Smale: the mathematician who broke the dimension barrier. American Mathematical Society, Providence, RI, 2000. xviii+306 pp. ISBN: 0-8218-2045-1 01A70 (01A60 01A80 37-03)
[4] Cucker, Felipe; Smale, Steve Complexity estimates depending on condition and round-off error. Algorithms---ESA '98 (Venice), 115--126, Lecture Notes in Comput. Sci., 1461, Springer, Berlin, 1998. 65Y20 (65H10 68Q05)
[5] Smale, Steve The work of Curtis T. McMullen. Proceedings of the International Congress of Mathematicians, Vol. I (Berlin, 1998). Doc. Math. 1998, Extra Vol. I, 127--132 (electronic). 58-02 (01A70 30C10 58F15 58F23)
[6] Cucker, Felipe; Koiran, Pascal; Smale, Steve A polynomial time algorithm for Diophantine equations in one variable. J. Symbolic Comput. 27 (1999), no. 1, 21--29. 11Y50 (11Y16 68Q40)
[7] Smale, Steve Complexity theory and numerical analysis. Acta numerica, 1997, 523--551, Acta Numer., 6, Cambridge Univ. Press, Cambridge, 1997. 65Y20 (68Q15 68Q25)
[8] Blum, Lenore; Cucker, Felipe; Shub, Michael; Smale, Steve Complexity and real computation. With a foreword by Richard M. Karp. Springer-Verlag, New York, 1998. xvi+453 pp. ISBN: 0-387-98281-7 68Q15 (03D15 13P99 14P99 65Y20 68-02)
[9] Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve Algebraic settings for the problem "${\rm P}\not={\rm NP}$?". The mathematics of numerical analysis (Park City, UT, 1995), 125--144, Lectures in Appl. Math., 32, Amer. Math. Soc., Providence, RI, 1996. 68Q15 (12E99)
[10] The mathematics of numerical analysis. Proceedings of the Twenty-fifth AMS-SIAM Summer Seminar on Applied Mathematics held in Park City, Utah, July 17--August 11, 1995. Edited by James Renegar, Michael Shub and Steve Smale. Lectures in Applied Mathematics, 32. American Mathematical Society, Providence, RI, 1996. xii+927 pp. ISBN: 0-8218-0530-4 65-06 (68-06)
[11] Blum, Lenore; Smale, Steve The Gödel incompleteness theorem and decidability over a ring. From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), 321--339, Springer, New York, 1993. 03D35 (03B25 03C57 03C60)
[12] Shub, M.; Smale, S. Complexity of Bezout's theorem. II. Volumes and probabilities. Computational algebraic geometry (Nice, 1992), 267--285, Progr. Math., 109, Birkhäuser Boston, Boston, MA, 1993. 68Q25 (52A38 52A40 65H20)
[13] From Topology to Computation: Proceedings of the Smalefest. Held at the University of California, Berkeley, California, August 5--9, 1990. Edited by M. W. Hirsch, J. E. Marsden and M. Shub. Springer-Verlag, New York, 1993. xxx+605 pp. ISBN: 0-387-97932-8 00B25
[14] Smale, Stephen Complexity aspects of numerical analysis. A plenary address presented at the International Congress of Mathematicians held in Berkeley, California, August 1986. Introduced by J. F. Traub. ICM Series. American Mathematical Society, Providence, RI, 1988. 1 videocassette (NTSC; 1/2 inch; VHS) (60 min.); sd., col. 65H10 (58C30 68Q25 90C60)
[15] Smale, Stephen The story of the higher-dimensional Poincaré conjecture (what actually happened on the beaches of Rio de Janeiro). A joint AMS-MAA invited address presented in Phoenix, Arizona, January 1989. AMS-MAA Joint Lecture Series. American Mathematical Society, Providence, RI, 1989. 1 videocassette (NTSC; 1/2 inch; VHS) (60 min.); sd., col. 01A70 (57-03)
[16] Smale, Steve Algorithms for solving equations. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 172--195, Amer. Math. Soc., Providence, RI, 1987. 65H10 (58C30 68Q30 90C30)
[17] Smale, Steve Newton's method estimates from data at one point. The merging of disciplines: new directions in pure, applied, and computational mathematics (Laramie, Wyo., 1985), 185--196, Springer, New York, 1986. 65J15 (58C30 90C30)
[18] Smale, S. The problem of the average speed of the simplex method. Mathematical programming: the state of the art (Bonn, 1982), 530--539, Springer, Berlin, 1983. 90C05
[19] Smale, Stephen Smooth solutions of the heat and wave equations. Comment. Math. Helv. 55 (1980), no. 1, 1--12. 35K05 (35L05 58G25)
[20] Smale, Steve On comparative statics and bifurcation in economic equilibrium theory. Bifurcation theory and applications in scientific disciplines (Papers, Conf., New York, 1977), pp. 545--548, Ann. New York Acad. Sci., 316, New York Acad. Sci., New York, 1979. 90A14 (58E07 58F14)
[21] Smale, Steve The mathematics of time. Essays on dynamical systems, economic processes, and related topics. Springer-Verlag, New York-Berlin, 1980. vi+151 pp. ISBN: 0-387-90519-7 01A75 (58-02 58Fxx 90Axx)
[22] Smale, S. Sufficient conditions for an optimum. Dynamical systems---Warwick 1974 (Proc. Sympos. Appl. Topology and Dynamical Systems, Univ. Warwick, Coventry, 1973/1974; presented to E. C. Zeeman on his fiftieth birthday), pp. 287--292. Lecture Notes in Math., Vol. 468, Springer, Berlin, 1975. 58E15 (90A15)
[23] Marsden, J. E.; McCracken, M. The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt and S. Smale. Applied Mathematical Sciences, Vol. 19. Springer-Verlag, New York, 1976. xiii+408 pp. 58F99 (34C25 35C99)
[24] Hirsch, Morris W.; Smale, Stephen Differential equations, dynamical systems, and linear algebra. Pure and Applied Mathematics, Vol. 60. Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1974. xi+358 pp. 34CXX (15-XX 58FXX 70.34)
[25] Smale, S. A mathematical model of two cells via Turing's equation. Some mathematical questions in biology, V (Proc. Seventh Sympos., Mathematical Biology, Mexico City, 1973), pp. 15--26. Lectures on Math. in the Life Sciences, Vol. 6, Amer. Math. Soc., Providence, R.I., 1974. 92A05 (58F10)
[26] Smale, Steve Dynamical systems and turbulence. Turbulence Seminar (Univ. Calif., Berkeley, Calif., 1976/1977), pp. 48--70. Lecture Notes in Math., Vol. 615, Springer, Berlin, 1977. (Reviewer: L. A. Bunimovic) 58F15 (35Q10)
[27] Smale, Steve Convergent process of price adjustment and global Newton methods. Frontiers of quantitative economics, Vol. IIIA (Invited papers, Econometric Soc., Third World Congress, Toronto, Ont., 1975), pp. 191--205. Contributions to Economic Analysis, Vol. 105, North-Holland Publishing Co., Amsterdam, 1977. 90A15
[28] Smale, Stephen Optimizing several functions. Manifolds--Tokyo 1973 (Proc. Internat. Conf., Tokyo, 1973), pp. 69--75. Univ. Tokyo Press, Tokyo, 1975. 90A99 (58E15)
[29] Statistical mechanics. New concepts, new problems, new applications. Proceedings of the Sixth IUPAP Conference on Statistical Mechanics (University of Chicago, Chicago, Ill., 29 March--2 April 1971). Edited by Stuart A. Rice, Karl F. Freed and John C. Light. The University of Chicago Press, Chicago, Ill.-London, 1972. viii+421 pp. 82.00
[30] Smale, Steve Global analysis and economics. I. Pareto optimum and a generalization of Morse theory. Dynamical systems (Proc. Sympos., Univ. Bahia, Salvador, 1971), pp. 531--544. Academic Press, New York, 1973. 58F99 (90A15)
[31] Smale, Steve Stability and isotopy in discrete dynamical systems. Dynamical systems (Proc. Sympos., Univ. Bahia, Salvador, 1971), pp. 527--530. Academic Press, New York, 1973. 57D50 (58F10)
[32] Shub, M. Appendix to Smale's paper: "Diagonals and relative equilibria". 1971 Manifolds -- Amsterdam 1970 (Proc. Nuffic Summer School) pp. 199--201 Lecture Notes in Mathematics, Vol. 197 Springer, Berlin 85.57
[33] Smale, S. Problems on the nature of relative equilibria in celestial mechanics. 1971 Manifolds -- Amsterdam 1970 (Proc. Nuffic Summer School) pp. 194--198 Lecture Notes in Mathematics, Vol. 197 Springer, Berlin 85.57
[34] Abraham, R.; Smale, S. Nongenericity of $\Omega $-stability. 1970 Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968) pp. 5--8 Amer. Math. Soc., Providence, R.I. 57.50 (34.00)
[35] Smale, S. The $\Omega $-stability theorem. 1970 Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968) pp. 289--297 Amer. Math. Soc., Providence, r.I. 57.20 (34.00)
[36] Palis, J.; Smale, S. Structural stability theorems. 1970 Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968) pp. 223--231 Amer. Math. Soc., Providence, R.I. 57.50
[37] Smale, Stephen Notes on differentiable dynamical systems. 1970 Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968) pp. 277--287 Amer. Math. Soc., Providence, R.I. 57.47
[38] Global analysis. Proceedings of Symposia in Pure Mathematics, Vols. XIV-XVI. Edited by Shiing-shen Chern and Stephen Smale American Mathematical Society, Providence, R.I. 1970 Vol. XIV: v+367 pp.; Vol. XV: v+307 pp.; Vol. XVI: v+250 pp. 57.00
[39] Smale, S. Global stability questions in dynamical systems. 1969 Lectures in Modern Analysis and Applications. I pp. 150--158 Springer, Berlin 57.50
[40] Thom, René Sur les travaux de Stephen Smale. (French) 1968 Proc. Internat. Congr. Math. (Moscow, 1966) pp. 25--28 Izdat. "Mir", Moscow 57.50
[41] Smale, S. Differentiable dynamical systems. 1968 Proc. Internat. Congr. Math. (Moscow, 1966) p. 139 Izdat. "Mir", Moscow 57.50
[42] Smale, Stephen Diffeomorphisms with many periodic points. 1965 Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse) pp. 63--80 Princeton Univ. Press, Princeton, N.J. 57.47
[43] Smale, S. On the calculus of variations. 1964 Differential Analysis, Bombay Colloq., 1964 pp. 187--189 Oxford Univ. Press, London 57.50 (49.00)
[44] Smale, S. Dynamical systems and the topological conjugacy problem for diffeomorphisms. 1963 Proc. Internat. Congr. Mathematicians (Stockholm, 1962) pp. 49--496 Inst. Mittag-Leffler, Djursholm 57.48
[45] Smale, S. Stable manifolds for differential equations and diffeomorphisms. 1963 Topologia Differenziale (Centro Internaz. Mat. Estivo, $1\deg$ Ciclo, Urbino, 1962), Lezione 4 31 pp. Edizioni Cremonese, Rome 57.34 (57.48)
[46] Smale, S. A structurally stable differentiable homeomorphism with an infinite number of periodic points. 1963 Qualitative methods in the theory of non-linear vibrations (Proc. Internat. Sympos. Non-linear Vibrations, Vol. II, 1961) pp. 365--366 Izdat. Akad. Nauk Ukrain. SSR, Kiev 57.47 (34.65)
[47] Shub, Mike; Smale, Steve On the average cost of solving polynomial equations. Geometric dynamics (Rio de Janeiro, 1981), 719--724, Lecture Notes in Math., 1007, Springer, Berlin, 1983. 58C15 (68Q25)
[48] Stephen Smale [biographic notice]. Fields Medallists' lectures, 134--141, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 01A70
[49] Smale, S. A survey of some recent developments in differential topology [MR 26 #1896]. Fields Medallists' lectures, 142--155, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 57Rxx
[50] Thom, René Sur les travaux de Stephen Smale [MR 38 #1703]. (French) [On the works of Stephen Smale] Fields Medallists' lectures, 129--132, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 01A70 (57-03)
[51] Smale, Steve Some early recollection of Raoul Bott. Raoul Bott: collected papers, Vol. 1, 39, Contemp. Mathematicians, Birkhäuser Boston, Boston, MA, 1994. 01A70
[52] Connes, Alain; Faltings, Gerd; Jones, Vaughan; Smale, Stephen; Thom, René; Wagensberg, Jorge Round-table discussion. Mathematical research today and tomorrow (Barcelona, 1991), 87--108, Lecture Notes in Math., 1525, Springer, Berlin, 1992. 00A05
[53] Smale, Stephen Theory of computation. Mathematical research today and tomorrow (Barcelona, 1991), 59--69, Lecture Notes in Math., 1525, Springer, Berlin, 1992. 03D65 (03D15 03D80 68Q05 68Q15)
[54] Zeeman, E. C. Banquet address at the Smalefest. From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), 79--80, Springer, New York, 1993. 01A70
[55] Thom, R. Luncheon talk. From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), 76--78, Springer, New York, 1993. 01A70
[56] Peixoto, M. M. Some recollections of the early work of Steve Smale. From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), 73--75, Springer, New York, 1993. 01A70
[57] Bott, R. Luncheon talk and nomination for Stephen Smale. From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), 67--72, Springer, New York, 1993. 01A70
[58] Smale, Steve Professional biography, bibliography, and graduate students. From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), 53--63, Springer, New York, 1993. 01A70
[59] Smale, Steve On the steps of Moscow University. From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), 41--52, Springer, New York, 1993. 01A70
[60] Smale, Steve The story of the higher-dimensional Poincaré conjecture (what actually happened on the beaches of Rio). From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), 27--40, Springer, New York, 1993. 01A70 (57-03)
[61] Smale, Steve On how I got started in dynamical systems, 1959--1962. From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), 22--26, Springer, New York, 1993. 01A75 (58-02 58Fxx 90Axx)
[62] Smale, Steve Some autobiographical notes. From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), 3--21, Springer, New York, 1993. 01A70
[63] Smale, Steve Some remarks on the foundations of numerical analysis [MR 91k:00007]. Chaos/{\cyr Khaos} (Woods Hole, MA, 1989), 107--120, Amer. Inst. Phys., New York, 1990. 00A69 (00A30 03F60 58C30 65Q05 65Y10 90C05)
[64] Blum, L.; Shub, M.; Smale, S. On a theory of computation over the real numbers: NP completeness, recursive functions and universal machines [Bull. Amer. Math. Soc. (N.S.) 21 (1989), no. 1, 1--46; MR 90a:68022]. Workshop on Dynamical Systems (Trieste, 1988), 23--52, Pitman Res. Notes Math. Ser., 221, Longman Sci. Tech., Harlow, 1990. 68Q10 (03D15 03D80 58F23 68Q15 68Q25)
[65] Shub, Mike; Smale, Steven On a theory of cost for equation solving. Homotopy methods and global convergence (Porto Cervo, 1981), 263--265, NATO Conf. Ser. II: Systems Sci., 13, Plenum, New York, 1983. 90C30 (68Q25)
연구논문
Cucker, Felipe;Smale, Steve   On the mathematical foundations of learning   Bull. Amer. Math. Soc. (N.S.)   39   1   (2002)   1-49   68T05, 68T30, 68T10, 91E40
Dedieu, Jean-Pierre;Smale, Steve   Some lower bounds for the complexity of continuation methods   J. Complexity   14   4   (1998)   454-465   65Y10, 65Y20
Cucker, Felipe;Smale, Steve   Complexity estimates depending on condition and round-off error   J. ACM   46   1   (1999)   113-184   68Q05, 65G50, 65H05, 65Y20, 68Q25
Cucker, Felipe;Koiran, Pascal;Smale, Steve   A polynomial time algorithm for Diophantine equations in one variable   J. Symbolic Comput.   27   1   (1999)   21-29   11Y50, 11Y16, 68Q40
Smale, Steve   Mathematical problems for the next century   Math. Intelligencer   20   2   (1998)   7-15   01A67, 00A05
Smale, Steve   Finding a horseshoe on the beaches of Rio   Math. Intelligencer   20   1   (1998)   39-44   58-03, 01A60, 58F15
Shub, Michael;Smale, Steve   Complexity of Bezout's theorem. IV. Probability of success; extensions   SIAM J. Numer. Anal.   33   1   (1996)   128-148   65Y20, 65H10, 65H20, 68Q25
Shmoys, David B.;Batterson, Steve   Karp and Smale receive National Medals of Science   Notices Amer. Math. Soc.   43   12   (1996)   1524-1528   01A70
Shub, Michael; Smale, Steve   "On the intractability of Hilbert's Nullstellensatz and an algebraic version of ""${rm NP}not={rm P}$?"""   Duke Math. J.   81   1   (1995)   47-54   03D15, 68Q25, 68Q40
Blum, Lenore;Cucker, Felipe;Shub, Mike;Smale, Steve   Complexity and real computation: a manifesto   Internat. J. Bifur. Chaos Appl. Sci. Engrg.   6   1   (1996)   3-26   68Q15, 58F08, 68Q05
Shub, M.;Smale, S.   Complexity of Bezout's theorem. V. Polynomial time   Theoret. Comput. Sci.   133   1   (1994)   141-164   65H20, 58F14, 65H05, 65Y20
Cucker, F.;Shub, M.;Smale, S.   Separation of complexity classes in Koiran's weak model   Theoret. Comput. Sci.   133   1   (1994)   3-14   68Q05, 03D15, 68Q15
Shub, Michael;Smale, Steve   Complexity of Bezout's theorem. III. Condition number and packing. Festschrift for Joseph F. Traub, Part I.   J. Complexity   9   1   (1993)   4-14   65Y20, 65H05
Shub, Michael;Smale, Steve   Complexity of B?zout's theorem. I. Geometric aspects   J. Amer. Math. Soc.   6   2   (1993)   459-501   65H20, 58F14
Smale, Steve   Dynamics retrospective: great problems, attempts that failed. Nonlinear science: the next decade (Los Alamos, NM, 1990)   Phys. D   51   1-3   (1991)   267-273   58F15, 58F12
Smale, Steve   The story of the higher-dimensional Poincar? conjecture (what actually happened on the beaches of Rio)   Pokroky Mat. Fyz. Astronom.   36   1   (1991)   38-49   01A70, 01A60, 57-03
Smale, Steve   Some remarks on the foundations of numerical analysis   SIAM Rev.   32   2   (1990)   211-220   00A69, 00A30, 58C30, 65Y10, 68Q10, 90C05
Smale, Steve   The story of the higher-dimensional Poincar? conjecture (what actually happened on the beaches of Rio)   Math. Intelligencer   12   2   (1990)   44-51   01A70, 57-03
Smale, Stephen   Newton's contribution and the computer revolution   Math. Medley   17   2   (1989)   51-57   01A99
Blum, Lenore;Shub, Mike;Smale, Steve   On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines   Bull. Amer. Math. Soc.(N.S.)   21   1   (1989)   1-46   68Q10, 03D15, 03D75, 03D80, 03F60, 68Q15, 68Q25
Smale, Steve   On the topology of algorithms. I   J. Complexity   3   2   (1987)   81-89   68Q05, 11Y16, 12D99, 58C30, 65H05
Shub, M.;Smale, S.   Computational complexity: on the geometry of polynomials and a theory of cost. II   SIAM J. Comput.   15   1   (1998)   145-161   68Q25, 58C30, 58F40, 65H05, 90C30
Shub, Mike;Smale, Steven   Computational complexity. On the geometry of polynomials and a theory of cost. I   Ann. Sci. ?cole Norm. Sup. (4)   18   1   (1985)   107-142   68Q25, 58C30, 58F40, 65H05, 90C30
Smale, Steve   On the efficiency of algorithms of analysis   Bull. Amer. Math. Soc.(N.S.)   13   2   (1985)   87-121   65J10, 58F99, 65J15, 68Q25, 90C05
Smale, Steve   On the average number of steps of the simplex method of linear programming   Math. Programming   27   3   (1983)   241-262   90C05
Smale, Steve   The fundamental theorem of algebra and complexity theory   Bull. Amer. Math. Soc.(N.S.)   4   1   (1981)   1-36   65H05,12D10, 58-02, 58C30, 68C25, 90C30
Shub, Michael;Smale, Steve   On the existence of generally convergent algorithms   J. Complexity   2   1   (1986)   2-11   65H05, 58C30, 58F08, 90C30
Smale, Steve   The prisoner's dilemma and dynamical systems associated to noncooperative games   Econometrica   48   7   (1980)   1617-1634   90D10, 58F40
Hirsch, Morris W.;Smale, Stephen   On algorithms for solving $f(x)=0$   Comm. Pure Appl. Math.   32   3   (1979)   281-313   65H10, 58C30
Smale, S.   Marston Morse (1892--1977)   Math. Intelligencer   1   1   (1978-1979)   33-34   01A70
Smale, Steve   Global analysis and economics. Pareto optimum and a generalization of Morse theory. Mathematical methods of the social sciences   Synthese   31   2   (1975)   345-358   58E15, 90A15
Smale, Stephen   Exchange processes with price adjustment   J. Math. Econom.   3   3   (1976)   211-226   90A15
Smale, S.   Global analysis and economics. VI. Geometric analysis of Pareto optima and price equilibria under classical hypotheses   J. Math. Econom.   3   1   (1976)   1-14   90A15, 58F99
Smale, S.   Global analysis and economics. V. Pareto theory with constraints   J. Math. Econom.   1   3   (1974)   213-221   90A15, 58F99
Smale, S.   Global analysis and economics. IV. Finiteness and stability of equilibria with general consumption sets and production   J. Math. Econom.   1   2   (1974)   119-127   90A15, 58F99
Smale, S.   Glodal analysis and economics. III. Pareto optima and price equilibria   J. Math. Econom.   1   2   (1974)   107-117   90A15, 58F99
Smale, S.   Global analysis and economics. IIA. Extension of a theorem of Debreu   J. Math. Econom.   1   1   (1974)   1-14   90A15, 58F99
Smale, S.;Williams, R. F.   The qualitative analysis of a difference equation of population growth   J. Math. Biol.   3   1   (1976)   1-4   92A15
Smale, Steve   A convergent process of price adjustment and global Newton methods   J. Math. Econom.   3   2   (1976)   107-120   90A15
Smale, S.   On the differential equations of species in competition   J. Math. Biol.   3   1   (1976)   5-7   92A15, 58F05
Smeui l, S.   Global analysis and economics. I. Pareto optimum and a generalization of Morse theory   Uspehi Mat. Nauk   27   3   (1972)   177-187   58F99, 90A15
Smeui l, S.   Topology and mechanics   Uspehi Mat. Nauk   27   2   (1972)   77-133   58F05, 58E05
Smale, S.   On the mathematical foundations of electrical circuit theory   J. Differential Geometry   7     (1972)   193-210   58F05, 94A20
Smale, S.   Topology and mechanics. II. The planar $n$-body problem   Invent. Math.   11     (1970)   45-64   58E10, 58F99, 70.58
Shub, M.;Smale, S.   Beyond hyperbolicity   Ann. of Math. (2)   96     (1972)   587-591   30C40, 58F15
Smale, S.   Topology and mechanics. I   Invent. Math.   10     (1970)   305-331   58F05
Smeui l, S.   Differentiable dynamical systems   Uspehi Mat. Nauk   25   1   (1970)   113-185   57.50
Smale, S.   What is global analysis?   Amer. Math. Monthly   76     (1969)   4-9   57.50
Smale, S.   Differentiable dynamical systems   bull. Amer. Math. Soc.   73     (1967)   747-817   57.47, 34.00
Smale, S.   "Corrigendum: ""On the Morse index theorem"""   J. Math. Mech.   16     (1967)   1069-1070   57.50
Smale, S.   Structurally stable systems are not dense   Amer. J. Math.   88     (1966)   491-496   34.65, 54.82
Smale, S.   On the Morse index theorem   J. Math. Mech.   14     (1965)   1049-1055   57.50
Smale, S.   Morse theory and a non-linear generalization of the Dirichlet problem   Ann. of Math. (2)   80     (1964)   382-396   57.50, 49.00
Smale, S.   Stable manifolds for differential equations and diffeomorphisms   Ann. Scuola Norm. Sup. Pisa (3)   17     (1963)   97-116   57.48, 57.34
Smeui l, S.   A survey of some recent results in differential topology   Uspehi Mat. Nauk   19   1   (1964)   125-138   57.00
Palais, R. S.;Smale, S.   A generalized Morse theory   Bull. Amer. Math. Soc.   70     (1964)   165-172   57.50, 57.55
Smale, S.   On the structure of manifolds   Amer. J. Math.   84     (1962)   387-399   57.10
Smale, S.   A survey of some recent developments in differential topology   Bull. Amer. Math. Soc.   69     (1963)   131-145   57.00
Smale, Stephen   On dynamical systems   Bol. Soc. Mat. Mexicana (2)   5     (1960)   195-198   34.64, 57.48
Smale, Stephen   On the structure of $5$-manifolds   Ann. of Math. (2)   75     (1962)   38-46   57.10
Smale, Stephen   Generalized Poincar?'s conjecture in dimensions greater than four   Ann. of Math. (2)   74     (1961)   391-406   57.01, 57.10
Smale, Stephen   On gradient dynamical systems   Ann. of Math. (2)   74     (1961)   199-206   34.65, 57.48
Smale, Stephen   Differentiable and combinatorial structures on manifolds   Ann. of Math. (2)   74     (1961)   498-502   57.10
Smale, Stephen   The generalized Poincar? conjecture in higher dimensions   Bull. Amer. Math. Soc.   66     (1960)   373-375   57.10
Smale, Stephen   Morse inequalities for a dynamical system   Bull. Amer. Math. Soc.   66     (1960)   43-49   57.00
Smale, Stephen   Diffeomorphisms of the $2$-sphere   Proc. Amer. Math. Soc.   10     (1959)   621-626   57.00
Hirsch, Morris W.;Smale, Stephen   On involutions of the $3$-sphere   Amer. J. Math.   81     (1959)   893-900   55.00, 57.00
Smale, Stephen   The classification of immersions of spheres in Euclidean spaces   Ann. of Math. (2)   69     (1959)   327-344   55.00
Smale, Stephen   A classification of immersions of the two-sphere   Trans. Amer. Math. Soc.   90     (1958)   281-290   55.00
Lashof, R.;Smale, S.   On the immersion of manifolds in euclidean space   Ann. of Math. (2)   68     (1958)   562-583   55.00
Lashof, R. K.;Smale, S.   Self-intersections of immersed manifolds   J. Math. Mech.   8     (1959)   143-157   55.00
Smale, Stephen   Regular curves on Riemannian manifolds   Trans. Amer. Math. Soc.   87     (1958)   492-512   55.00
Smale, Stephen   A Vietoris mapping theorem for homotopy   Proc. Amer. Math. Soc.   8     (1957)   604-610   55.0X
Smale, Stephen   A note on open maps   Proc. Amer. Math. Soc.   8     (1957)   391-393   55.0X
Smale, S.   Mathematical problems for the next century   Gac. R. Soc. Mat. Esp.   3   3   (2000)   413-431   01A61, 01A67
Smale, Steve   Probl?mes math?matiques pour le prochain si?cle   Gaz. Math.     83   (2000)   11-27   01A67, 00A05
Smale, Steve   The work of [Fields medalist] Curtis T. McMullen   Mitt. Dtsch. Math.-Ver.     3   (1998)   48-51   58F23, 01A70, 30-03