What is Global Analysis?

  • Steve Smale


There has recently been a lot of activity in that branch of mathematics now referred to as “global analysis.” For example, the subject of the 1968 Summer Institute of the American Mathematical Society was global analysis.


Vector Field Singular Point Phase Portrait Global Analysis Closed Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. Andronov and L. Pontryagin, Systèmes grossiers, Dokl. Akad. Nauk. SSSR, 14 (1937) 247–251.Google Scholar
  2. 2.
    M. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic differential operators, Bull. Amer. Math. Soc., 72 (1966) 245–250.MathSciNetMATHCrossRefGoogle Scholar
  3. 3.
    J. Eells, A setting for global analysis, Bull. Amer. Math. Soc., 72 (1966) 751–807.MathSciNetCrossRefGoogle Scholar
  4. 4.
    R. Palais et al., Seminar on the Atiyah-Singer index theorem, Ann. of Math., Study No. 57, (1966).Google Scholar
  5. 5.
    M. Peixoto, Structural stability on 2-dimensional manifolds, Topology 1 (1962) 101–120.MathSciNetMATHCrossRefGoogle Scholar
  6. 6.
    S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc., 73 (1967) 747–817.MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York Inc. 1980

Authors and Affiliations

  • Steve Smale
    • 1
  1. 1.Department of MathematicsUniversity of California at BerkeleyBerkeleyUSA

Personalised recommendations