Numerical Analysis
eBook - PDF

Numerical Analysis

The Commonwealth and International Library: Higher Mathematics for Scientists and Engineers

  1. 254 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Numerical Analysis

The Commonwealth and International Library: Higher Mathematics for Scientists and Engineers

Book details
Table of contents
Citations

About This Book

Numerical Analysis is an elementary introduction to numerical analysis, its applications, limitations, and pitfalls. Methods suitable for digital computers are emphasized, but some desk computations are also described. Topics covered range from the use of digital computers in numerical work to errors in computations using desk machines, finite difference methods, and numerical solution of ordinary differential equations. This book is comprised of eight chapters and begins with an overview of the importance of digital computers in numerical analysis, followed by a discussion on errors in computations using desk machines. Subsequent chapters deal with recurrence relations and algebraic equations; basic properties of matrices; relaxation and finite difference methods; and numerical methods for unequal intervals. The derivation of Lagrange's interpolation polynomial is explained, together with curve fitting and the method of least squares, orthogonal polynomials, and integration methods. This monograph will be of interest to practicing engineers, mathematicians, and scientists as well as students.

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Information

Publisher
Pergamon
Year
2014
ISBN
9781483139562
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Numerical Analysis
  3. Copyright Page
  4. Table of Contents
  5. Foreword
  6. Preface
  7. Suggestions for further reading
  8. Chapter 1. DIGITAL COMPUTERS
  9. Chapter 2. DESK MACHINES ERRORS IN COMPUTATIONS
  10. Chapter 3. FINITE-DIFFERENCE METHODS
  11. Chapter 4. RECURRENCE RELATIONS AND ALGEBRAICEQUATIONS
  12. Chapter 5. NUMERICAL SOLUTION OF ORDINARY DIFFERENTIALEQUATIONS
  13. Chapter 6. MATRICES
  14. Chapter 7. RELAXATION METHODS
  15. Chapter 8. NUMERICAL METHODS FOR UNEQUAL INTERVALS
  16. INDEX