الخطوط العريضة للقسم
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Introduction.Numerical analysis is a dynamic field that bridges the gap between abstract mathematics and practical applications. It provides the tools and techniques necessary to solve complex mathematical problems that arise in science, engineering, and many other fields. This chapter introduces the fundamental concepts and techniques of numerical analysis, including number representation, error analysis, and algorithm stability. By understanding these core ideas, we can effectively apply numerical methods to solve real-world problems and advance scientific discovery.
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Chapter 1 Basics of Numerical Analysis and Scientific Computing
1.1. Motivations.
1.2. Floating-Point Arithmetic and Rounding Errors.
1.2.1 Representation of Numbers in Machine.
1.2.2 Rounding Errors.
1.3. Stability and Error Analysis of Numerical Methods and Problem Conditioning.
1.3.1 Algorithm Selection.
1.3.2 Refinement and Adaptation.
1.3.3 Validation and Testing773.8 كيلو بايت -
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