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140122  eng 
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a 9781461227403

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1 

a Hirsch, Morris W.
e [editor]

245 
0 
0 
a From Topology to Computation: Proceedings of the Smalefest
h Elektronische Ressource
c edited by Morris W. Hirsch, Jerrold E. Marsden, Michael Shub

250 


a 1st ed. 1993

260 


a New York, NY
b Springer New York
c 1993, 1993

300 


a XXIX, 605 p
b online resource

505 
0 

a Autobiographical Material  1 Some Autobiographical Notes  2 On How I Got Started in Dynamical Systems, 1959–1962  3 The Story of the Higher Dimensional Poincaré Conjecture (What Actually Happened on the Beaches of Rio)  4 On the Steps of Moscow University  5 Professional Biography, Bibliography, and Graduate Students  2: Informal Talks  6 Luncheon Talk and Nomination for Stephen Smale  7 Some Recollections of the Early Work of Steve Smale  8 Luncheon Talk  9 Banquet Address at the Smalefest  3: Differential Topology  10 The Work of Stephen Smale in Differential Topology  Discussions  11 Discussion  12 Note on the History of Immersion Theory  Contributed Papers  13 The Smale—Hirsch Principle in Catastrophe Theory  4: Economics  14 Stephen Smale and the Economic Theory of General Equilibrium  Discussions  15 Topology and Economics: The Contribution of Stephen Smale  16 Comments  5: Dynamical Systems 

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0 

a Expansion Properties of OneDimensional Mappings  23 Induced Hyperbolicity, Invariant Measures, and Rigidity  24 On the Enumerative Geometry of Geodesies  25 A Relation Between Newton’s Method and Successive Approximations for Quadratic Irrationals  26 On Dynamical Systems and the Minimal Surface Equation  27 A New Zeta Function, Natural for Links  6: Theory of Computation  28 On the Work of Steve Smale on the Theory of Computation  Discussions  29 Smale’s Work on the Dynamics of Numerical Analysis  30 Steve Smale and the Geometry of IllConditioning  31 On Smale’s Work in the Theory of Computation: From Polynomial Zeros to Continuous Complexity 

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a Final Panel  52 Final Panel

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a Nonlinear Functional Analysis  43 Smale and Nonlinear Analysis: A Personal Perspective  Discussion  44 Discussion  8: Applications  45 Steve Smale and Geometric Mechanics  Discussion  46 Smale’s Topological Program in Mechanics and Convexity  47 Discussion  Contributed Papers 

653 


a Complex manifolds

653 


a Mathematical analysis

653 


a Analysis (Mathematics)

653 


a Manifolds (Mathematics)

653 


a Manifolds and Cell Complexes (incl. Diff.Topology)

653 


a Analysis

700 
1 

a Marsden, Jerrold E.
e [editor]

700 
1 

a Shub, Michael
e [editor]

710 
2 

a SpringerLink (Online service)

041 
0 
7 
a eng
2 ISO 6392

989 


b SBA
a Springer Book Archives 2004

856 


u https://doi.org/10.1007/9781461227403?nosfx=y
x Verlag
3 Volltext

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0 

a 515

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a An extraordinary mathematical conference was held 59 August 1990 at the University of California at Berkeley: From Topology to Computation: Unity and Diversity in the Mathematical Sciences An International Research Conference in Honor of Stephen Smale's 60th Birthday The topics of the conference were some of the fields in which Smale has worked: • Differential Topology • Mathematical Economics • Dynamical Systems • Theory of Computation • Nonlinear Functional Analysis • Physical and Biological Applications This book comprises the proceedings of that conference. The goal of the conference was to gather in a single meeting mathemati cians working in the many fields to which Smale has made lasting con tributions. The theme "Unity and Diversity" is enlarged upon in the section entitled "Research Themes and Conference Schedule." The organizers hoped that illuminating connections between seemingly separate mathematical sub jects would emerge from the conference. Since such connections are not easily made in formal mathematical papers, the conference included discussions after each of the historical reviews of Smale's work in different fields. In addition, there was a final panel discussion at the end of the conference
