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Michael Spivak - Calculus

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Michael Spivak - Calculus

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Convexity and Concavity Inverse Functions Appendix. Riemann Sums Appendix 2. Infinite Series Nevertheless, this chapter is not a review.

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Despite the familiarity of the subject, the survey we are about to undertake will probably seem quite novel; it does not aim to present an extended review of old material, but to condense this knowledge into a few simple and obvious properties of numbers.

Some may even seem too obvious to mention, but a surprising number of iverse and important facts turn out to be consequences of the ones we shall emphasize.

Of the twelve properties which we shall study in this chapter, the first nine are concerned with the fundamental operations of addition and multiplica- tion.

For the moment we consider only addition: It is more convenient, however, to consider addition of pairs of numbers only, and to define other sums in terms of sums of this type. Of course, the two compound sums obtained are equal, and this fact is the very first property we shall list: Luciano Di Palma.

Mostafa Samir.Ordered Pairs 54 Graphs 56 Appendix. Does math become harder or easier as you progress through higher level courses?

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