1 Fundamentals

1.1 Sets and Mappings

1.2 Numbers

1.3 Absolute Value

1.4 Some Useful Equalities and Inequalities

1.5 Important Functions

2 Induction and Relations

2.1 Induction

2.2 Relations and Orderings

2.3 Countable and Uncountable

3 Groups and Construction of Integers

3.1 Groups

4 Numbers and Floating Point Numbers

4.1 Representation of Numbers

4.2 Floating Point Representation and Machine Accuracy

5 Practical Floating Point System

5.1 Floating-Point Number Formats

5.2 Normalization and Rounding

5.3 Exponent Bias

5.4 General Floating-Point System (summary)

6 On Stability and Error Propagation

6.1 Propagation of Errors

6.2 Absolute and Relative Error

6.3 Condition Number and Well Posed Problems

6.4 Condition of Elementary Operations

6.5 Landau Symbols

7 Polynomial Interpolation

7.1 Interpolation Conditions

7.2 Properties of the Interpolation Process

7.3 Condition of Polynomial Interpolation

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