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Offering a clear, precise, and accessible presentation, complete with MATLAB programs, this new Third Edition of Elementary Numerical Analysis gives students the support they need to master basic numerical analysis and scientific computing. Now updated and revised, this significant revision features reorganized and rewritten content, as well as some new... Moreadditional examples and problems. The text introduces core areas of numerical analysis and scientific computing along with basic themes of numerical analysis such as the approximation of problems by simpler methods, the construction of algorithms, iteration methods, error analysis, stability, asymptotic error formulas, and the effects of machine arithmetic. Table of contents : · Taylor Polynomials · Error and Computer Arithmetic · Root finding · Interpolation and Approximation · Numerical Integration and Differentiation · Solution of Systems of Linear Equations · Numerical Linear Algebra: Advanced Topics · Ordinary Differential Equations · Finite Difference Method for PDEs Appendix A: Mean Value Theorems Appendix B: Mathematical Formulas Appendix C: Numerical Analysis Software Packages Appendix D: Matlab: An Introduction Appendix E: The Binary Number System Answers to Selected Problems Bibliography Index
ISBN : 9788126508020
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