Applications of Number Theory to Numerical Analysis
eBook - PDF

Applications of Number Theory to Numerical Analysis

  1. 504 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Applications of Number Theory to Numerical Analysis

About this book

Applications of Number Theory to Numerical Analysis contains the proceedings of the Symposium on Applications of Number Theory to Numerical Analysis, held in Quebec, Canada, on September 9-14, 1971, under the sponsorship of the University of Montreal's Center for Research in Mathematics. The symposium provided a forum for discussing number theory and its applications to numerical analysis, tackling topics ranging from methods used in estimating discrepancy to the structure of linear congruential sequences. Comprised of 17 chapters, this book begins by considering some combinatorial problems studied experimentally on computing machines. The discussion then turns to experiments on optimal coefficients; a distribution problem in finite sets; and the statistical interdependence of pseudo-random numbers generated by the linear congruential method. Subsequent chapters deal with lattice structure and reduced bases of random vectors generated by linear recurrences; modulo optimization problems and integer linear programming; equivalent forms of zero-one programs; and number theoretic foundations of finite precision arithmetic. This monograph will be of interest to students and practitioners in the field of applied mathematics.

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Yes, you can access Applications of Number Theory to Numerical Analysis by S. K. Zaremba 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

Publisher
Academic Press
Year
2014
Print ISBN
9780127759500
eBook ISBN
9781483265162
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Applications of Number Theory to Numerical Analysis
  3. Copyright Page
  4. Table of Contents
  5. CONTRIBUTORS
  6. PREFACE
  7. Chapter 1. Some Combinatorial Problems Studied Experimentally on Computing Machines
  8. Chapter 2. Experiments on Optimal Coefficients
  9. Chapter 3. La Méthode des "Bons Treillis" pour le Calcul des Intégrales Multiples
  10. English Summary: The Method of "Good Lattices" for the Numerical Computation of Multiple Integrals
  11. Chapter 4. Recherche et Utilisation des "Bons Treillis." Programmation et Résultats Numériques
  12. English Summary: Search for, and Applications of, "Good Lattices," Programming and Numerical Results
  13. Chapter 5. Methods for Estimating Discrepancy
  14. Chapter 6. A Distribution Problem in Finite Sets
  15. Chapter 7. The Structure of Linear Congruential Sequences
  16. Chapter 8. Statistical Interdependence of Pseudo-Random Numbers Generated by the Linear Congruential Method
  17. Chapter 9. Computational Investigations of Low-Discrepancy Point Sets
  18. Chapter 10. Estimating the Accuracy of Quasi-Monte Carlo Integration
  19. Chapter 11. Lattice Structure and Reduced Bases of Random Vectors Generated by Linear Recurrences
  20. Chapter 12. A Transformation of Equidistributed Sequences
  21. Chapter 13. On the Second Round of the Maximal Order Program
  22. Chapter 14. Modulo Optimization Problems and Integer Linear Programming
  23. Chapter 15. Equivalent Forms of Zero-One Programs
  24. Chapter 16. Incidence Matrices of Boolean Functions and Zero-One Programming
  25. Chapter 17. Number Theoretic Foundations of Finite Precision Arithmetic