Real Analysis 23/24
Aperçu des semaines
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Contents
I- Real numbers
- Preliminaries
- The set of real numbers
- Absolute value
- Archimedean property, density and integer part property
- Bounded subset in R
- Exercises and corrections
- Definition of the Field of Complex Numbers
- Geometric Interpretation of Complex Numbers
- Polar Form
- Euler's Formula
- Exercises
III- Sequences
- Definitions
- Convergence
- Subsequence
- Cauchy sequence
- Exercises
IV- Real functions
- Preliminaries
- Limits
- Continuity
- Uniform continuity
- Differentiable functions
- Mean value theorem
- Exercises
V-Usual functions
- Definition of arcsin and arccos Functions
- Definition of hyperbolic functions ch and ash
- Exercises
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- Preleminiries
- Natural numbers
- integers
- rational numbers
- Real numbers
- Absolute value
- Integer part
- Archemedian and density properties
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