Computability in Analysis and Physics
eBook - PDF

Computability in Analysis and Physics

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Computability in Analysis and Physics

About this book

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the first publication in the Perspectives in Logic series, Pour-El and Richards present the first graduate-level treatment of computable analysis within the tradition of classical mathematical reasoning. The book focuses on the computability or noncomputability of standard processes in analysis and physics. Topics include classical analysis, Hilbert and Banach spaces, bounded and unbounded linear operators, eigenvalues, eigenvectors, and equations of mathematical physics. The work is self-contained, and although it is intended primarily for logicians and analysts, it should also be of interest to researchers and graduate students in physics and computer science.

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Yes, you can access Computability in Analysis and Physics by Marian B. Pour-El,J. Ian Richards in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Preface to the Series: Perspectives in Mathematical Logic
  7. Authors' Preface
  8. Table of Contents
  9. Major Interconnections
  10. Introduction
  11. Prerequisites from Logic and Analysis
  12. Part I. Computability in Classical Analysis
  13. Part II. The Computability Theory of Banach Spaces
  14. Part III. The Computability Theory of Eigenvalues and Eigenvectors
  15. Addendum: Open Problems
  16. Bibliography
  17. Subject Index