Description
DOVER PUBLICATIONS Principles Of Numerical Analysis 2006 Edition by HOUSEHOLDER
Both routines of numerical computation and those of high-speed digital computation rely on basic principles of numerical analysis. This text offers a clear and concise presentation by one of the authorities in the field. An excellent reference and study work, it covers a significant amount of information on essential topics for intermediate to advanced mathematicians and computer scientists.Based on a lecture course given in Oak Ridge for the University of Tennessee, this volume concerns general topics of the solution of finite systems of linear and nonlinear equations and the approximate representation of functions. Specific chapters cover the art of computation, matrices and linear equations, nonlinear equations and systems, the proper values and vectors of a matrix, interpolation, more general methods of approximation, numerical integration and differentiation, and the Monte Carlo method. The Graeffe process, Bernoulli's method, polynomial interpolation, and the quadrature problem receive special attention.Each chapter contains bibliographic notes, and an extensive bibliography appears at the end. A final section provides 54 problems, subdivided according to chapter, for additional reinforcement. Part I: INTRODUCTION.1. Ten Principles of Economics.2. Thinking Like an Economist.Appendix: Graphing: A Brief Review.3. Interdependence and the Gains from Trade.Part II: SUPPLY AND DEMAND I: HOW MARKETS WORK.4. The Market Forces of Supply and Demand.5. Elasticity and Its Application.6. Supply, Demand, and Government Policies.Part III: SUPPLY AND DEMAND II: MARKETS AND WELFARE.7. Consumers, Producers, and the Efficiency of Markets.8. Application: The Costs of Taxation.9. Application: International Trade.Part IV: THE ECONOMICS OF PUBLIC SECTOR.10. Externalities.11. Public Goods and Common Resources.12. The Design of the Tax System.Part V: FIRM BEHAVIOR AND THE ORGANIZATION OF INDUSTRY.13. The Costs of Production.14. Firms in Competitive Markets.15. Monopoly.16. Monopolistic Competition.17. Oligopoly.Part VI: THE ECONOMICS OF LABOR MARKETS.18. The Markets for the Factors of Production.19. Earnings and Discrimination.20. Income Inequality and Poverty.Part VII: TOPICS FOR FURTHER STUDY.21. The Theory of Consumer Choice.22. Frontiers in Microeconomics.Glossary.Index.