Titlebook: Applied Mathematics: Body and Soul; Volume 1: Derivative Kenneth Eriksson,Donald Estep,Claes Johnson Textbook 2004 Springer-Verlag Berlin H

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https://doi.org/10.1007/978-3-642-92359-3We are now ready to introduce the concept of a ..

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Schnittgeschwindigkeit und Vorschub,We now generalize the Bisection algorithm used above to compute the positive root of the equation x. − 2 = 0, to compute roots of the equation.where .: ℝ → ℝ is a Lipschitz continuous function.

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The Mathematics Laboratory,This book is complemented by various pieces of software collected into the ., freely available on the book web site. The . contains different types of software organized under the following headings: ., .,. and ..

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Rational Numbers,We learn in school that a . is a number of the form ., where . and . are integers with .≠ 0. Such numbers are also refereed to as fractions or ratios or quotients. We call p the . and . the . of the fraction or ratio.

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Pythagoras and Euclid,In this chapter, we discuss a couple of basic useful facts from .. In doing so, we make connections to the origins of mathematics in ancient Greece 2500 years ago and in particular to two heros; Pythagoras and Euclid. In their work, we find roots of most of the topics we will meet below.

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