Computability in analysis and physics

  title={Computability in analysis and physics},
  author={M. B. Pour-El and J. I. Richards},
  booktitle={Perspectives in Mathematical Logic},
  • M. B. Pour-El, J. I. Richards
  • Published in
    Perspectives in Mathematical…
  • Mathematics, Computer Science
  • This book represents the first treatment of computable analysis at the graduate level within the tradition of classical mathematical reasoning. Among the topics dealt with are: classical analysis, Hilbert and Banach spaces, bounded and unbounded linear operators, eigenvalues, eigenvectors, and equations of mathematical physics. The book is self-contained, and yet sufficiently detailed to provide an introduction to research in this area. 
    840 Citations

    Topics from this paper

    Effective Banach spaces
    • PDF
    Computability and complexity of Julia sets: a review
    • 1
    • Highly Influenced
    • PDF
    Computability, noncomputability, and hyperbolic systems
    • 8
    • PDF
    Computability Structure of the Sobolev Spaces and Its Applications
    • N. Zhong
    • Computer Science, Mathematics
    • Theor. Comput. Sci.
    • 1999
    • 15
    Computable analysis with applications to dynamic systems
    • P. Collins
    • Computer Science, Mathematics
    • Math. Struct. Comput. Sci.
    • 2020
    • PDF
    Computability and dynamical systems
    • 6
    • PDF
    Pure mathematics and physical reality (continuity and computability)
    • 3
    • Highly Influenced