tailieunhanh - Applied Numerical Analysis fifth edition

The fifth edition of this classic book continues its excellence in teaching numerical analysis and techniques. Interesting and timely applications motivate an understanding of methods and analysis of results. Suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of all aspects of all numerical analysis. New sections discuss the use of computer algebra systems such as Mathematica, Maple and DERIVE facilitate the integration of technology in the course | Numerical Analysis FIFTH EDITION Ễẫ E SỈ Richard L. Burden Youngstown State University J. Douglas Faires Youngstown State University PWS PUBLISHING COMPANY BOSTON Contents Mathematical Preliminaries 1 Review of Calculus 2 Round-Off Errors and Computer Arithmetic 12 Algorithms and Convergence 24 Numerical Software 32 2 Solutions of Equations in One Variable 39 The Bisection Method 40 Fixed-Point Iteration 46 The Newton-Raphson Method 56 Error Analysis for Iterative Methods 70 Accelerating Convergence 78 Zeros of Polynomials and Muller s Method 82 Survey of Methods and Software 93 Interpolation and Polynomial Approximation 95 Interpolation and the Lagrange Polynomial 98 Divided Differences Ỉ12 Hermite Interpolation 123 Cubic Spline Interpolation 130 . Parametric Curves 148 - Survey of Methods and Software 154 Numerical Differentiation and Integration 156 Numerical Differentiation J57 Richardson s Extrapolation 168 Elements of Numerical Integration .

• Toán học
• teaching numerical analysis
• techniques
• analysis of results
• mathematics
• partial differential equations
• systems of nonlinear equations
• matrix algebra
• computer algebra systems
• Journal of Computer Science and Cybernetics
• On the real world semantics interpretability
• Fuzzy rule based systems under fuzzy set approach
• Hedge algebra approach
• The RWS interpretability
• Engineering mathematics
• Engineering notation
• Computer numbering systems
• Further algebra
• Partial fractions
• Simple equations
• Simultaneous equations
• Computer organization
• Design fundamentals
• Digital signals
• Numbering systems
• Logic functions
• Boolean algebra
• Standard boolean expression formats
• Karnaugh maps
• Handbook of mathematics
• Vector analysis
• Function theory
• Integral transformations
• Probability theory
• Numerical analysis
• Vietnam Journal of Mechanics
• Balancing conditions of planar mechanisms with multi degree of freedom
• Multi degree of freedom
• Planar five bar linkage
• The widely accessible computer algebra systems
• digitals signals
• Signed Representations
• Computer Architecture
• information systems department
• Digital Representation
• Digital processing
• axioms of boolean algebra