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Titlebook: Applied Mathematics: Body and Soul; Volume 2: Integrals Kenneth Eriksson,Donald Estep,Claes Johnson Textbook 2004 Springer-Verlag Berlin H

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https://doi.org/10.1007/978-3-658-43348-2We present a . containing a minimal set of important tools and concepts of Calculus for functions . : ℝ → ℝ. Below, we present . containing the corresponding of tools and concepts of Calculus for functions . : ℝ. → ℝ.
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https://doi.org/10.1007/978-3-658-43348-2We now generalize the discussion of analytic geometry to ℝ., where n is an arbitrary natural number. Following the pattern set above for ℝ. and ℝ., we define ℝ. to be the set of all possible ordered .-tuples of the form (.., .., ... , ..) with .. ∈ ℝ for . = 1, ... , .. We refer to ℝ. as ..
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The Exponential Function exp(,) = ,,,In this chapter we return to study of the . exp(.), which we have met above in Chapter . and Chapter ., ., ., ., and which is one of the basic functions of Calculus, see Fig. 31.1.
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,The Functions exp(,), log(,), sin(,) and cos(,) for , ∈ ℂ,In this chapter we extend some of the elementary functions to complex arguments. We recall that we can write a complex number . in the form . = ∣.∣(cos(.) + . sin(.)) with . = arg . the argument of ., and 0 ≤ . = Arg . < 2π the principal argument of ..
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Calculus Tool Bag I,We present a . containing a minimal set of important tools and concepts of Calculus for functions . : ℝ → ℝ. Below, we present . containing the corresponding of tools and concepts of Calculus for functions . : ℝ. → ℝ.
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