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Methods of Numerical Integration
About This Book
Methods of Numerical Integration, Second Edition describes the theoretical and practical aspects of major methods of numerical integration. Numerical integration is the study of how the numerical value of an integral can be found. This book contains six chapters and begins with a discussion of the basic principles and limitations of numerical integration. The succeeding chapters present the approximate integration rules and formulas over finite and infinite intervals. These topics are followed by a review of error analysis and estimation, as well as the application of functional analysis to numerical integration. A chapter describes the approximate integration in two or more dimensions. The final chapter looks into the goals and processes of automatic integration, with particular attention to the application of Tschebyscheff polynomials. This book will be of great value to theoreticians and computer programmers.
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Table of contents
- Front Cover
- Methods of Numerical Integration
- Copyright Page
- Table of Contents
- Dedication
- Preface to First Edition
- Preface to Second Edition
- CHAPTER 1. INTRODUCTION
- CHAPTER 2. APPROXIMATE INTEGRATION OVER A FINITE INTERVAL
- CHAPTER 3. APPROXIMATE INTEGRATION OVER INFINITE INTERVALS
- CHAPTER 4. ERROR ANALYSIS
- CHAPTER 5. APPROXIMATE INTEGRATION IN TWO OR MORE DIMENSIONS
- CHAPTER 6. AUTOMATIC INTEGRATION
- APPENDIX 1: ON THE PRACTICAL EVALUATION OF INTEGRALS
- APPENDIX 2: FORTRAN PROGRAMS
- APPENDIX 3: BIBLIOGRAPHY OF ALGOL, FORTRAN, AND PL/I PROCEDURES
- APPENDIX 4: BIBLIOGRAPHY OF TABLES
- APPENDIX 5: BIBLIOGRAPHY OF BOOKS AND ARTICLES
- Index