The Real Numbers and Real Analysis (Q5392149)
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scientific article; zbMATH DE number 5876066
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Real Numbers and Real Analysis |
scientific article; zbMATH DE number 5876066 |
Statements
The Real Numbers and Real Analysis (English)
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8 April 2011
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natural numbers
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integers
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rational numbers
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real numbers
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Peano Postulates
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Dedekind cut
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inductive set
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well-ordering principle
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principle of mathematical induction
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polynomial function
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no gap lemma
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Archimedean property
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ordered field
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decimal expansion
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limit of function
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convergence
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accumulation point
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continuous function
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uniformly continuous function
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Lipschitz condition
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intermediate value theorem
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differentiable function
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derivative of function
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mean value theorems
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intermediate value theorem for derivatives
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critical point
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Riemann-Stielties integral
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Riemann sum
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Riemann integral
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antiderivatives
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divergence to infinity
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l'Hôpital's rule
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improper integral
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logarithm
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exponential function
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trigonometric function
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sequences
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Cauchy sequence
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Cantor set
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series
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absolute convergence
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conditional convergence
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power series
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sequences of functions
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pointwise convergence
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uniform convergence
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series of functions
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Taylor polynomial
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Taylor series
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Maclaurin polynomial
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Maclaurin series
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binomial series
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binomial coefficients
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