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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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Combinations of functions,tions of simpler functions that we know. In the last chapter, we saw how a general polynomials can be created adding up multiples of monomials, that is, as linear combinations of monomials. In this chapter, we consider first linear combinations of arbitrary functions, then multiplication and division, and finally composition of functions.
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Sequences and limits,ental role in mathematics. The development of calculus has largely been a struggle to come to grips with certain evasive aspects of these concepts. We will try to uncover the mysteries by being as concrete and down-to-earth as possible.
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Introduction to Modeling,my and the second is a problem in surveying, both of which have been important fields of application for mathematics since the time of the Babylonians. The models are very simple but illustrate fundamental ideas.
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Mathematical Induction,dible ability to compute (especially important in the 1800s) and an unsurpassed talent for mathematical proof, Gauss had an inventive imagination and a restless interest in nature and he made important discoveries in a staggering range of pure and applied mathematics. He was also a pioneer in the co
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Combinations of functions,tions of simpler functions that we know. In the last chapter, we saw how a general polynomials can be created adding up multiples of monomials, that is, as linear combinations of monomials. In this chapter, we consider first linear combinations of arbitrary functions, then multiplication and divisio
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