Functional Analysis and Numerical Mathematics
eBook - PDF

Functional Analysis and Numerical Mathematics

  1. 494 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Functional Analysis and Numerical Mathematics

About this book

Functional Analysis and Numerical Mathematics focuses on the structural changes which numerical analysis has undergone, including iterative methods, vectors, integral equations, matrices, and boundary value problems. The publication first examines the foundations of functional analysis and applications, including various types of spaces, convergence and completeness, operators in Hilbert spaces, vector and matrix norms, eigenvalue problems, and operators in pseudometric and other special spaces. The text then elaborates on iterative methods. Topics include the fixed-point theorem for a general iterative method in pseudometric spaces; special cases of the fixed-point theorem and change of operator; iterative methods for differential and integral equations; and systems of equations and difference methods. The manuscript takes a look at monotonicity, inequalities, and other topics, including monotone operators, applications of Schauder's theorem, matrices and boundary value problems of monotone kind, discrete Chebyshev approximation and exchange methods, and approximation of functions. The publication is a valuable source of data for mathematicians and researchers interested in functional analysis and numerical mathematics.

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Yes, you can access Functional Analysis and Numerical Mathematics by Lothar Collatz in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front Cover
  2. Functional Analysis and Numerical Mathematics
  3. Copyright Page
  4. Table of Contents
  5. Translator's Note
  6. Preface to the German Edition
  7. Notation
  8. CHAPTER I. Foundations of Functional Analysis and Applications
  9. CHAPTER II. Iterative Methods
  10. CHAPTER III. Monotonicity, Inequalities, and Other Topics
  11. APPENDIX
  12. Remarks on Schauder's Fixed-Point Theorem
  13. REFERENCES
  14. Author Index
  15. Subject Index