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Titlebook: Calculus Problems; Marco Baronti,Filippo De Mari,Irene Venturi Textbook 2016 Springer International Publishing Switzerland 2016 Calculus.M

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Invertible Mappings,The notion of invertible map is related to that of reversible process. Important examples are the strictly monotonic functions.
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Continuous Functions,Continuity is a central notion. It is best introduced by means of the notion of limit. Continuous functions play a prominant role throughout mathematics.
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Differentiable Functions,Differentiability is the core notion in Analysis. In this chapter the derivative is introduced and discussed together with its basic properties. It is one of the most important concepts in Mathematics.
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Improper Integrals and Integral Functions,The notion of improper integral extends the notion of Riemann integral when either . is not bounded on some bounded interval, or the domain of the function is itself not bounded. Again, the notion that lies behind is that of the area below the graph of, say, a non negative function.
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