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BASIC MATHEMATICS. The present book is intended as a text in basic mathematics. As such. Basic Mathematics - Serge Lang pdf, Mathematics, college maths, maths for beginners, math gap, teach yourself mathematics pdf.

We wish to assume those rules which are most basic, and assume enough of them so that the proofs of the others are simple. Hence it is a good idea to have isolated these topics in special sections in the book for easy reference. It also turns out that those which we do assume occur in many contexts in mathematics, so that whenever we meet a situation where they arise, then we already have the training to apply them and use them. Even when we study geometry afterwards, the rules of algebra are still used, say to compute areas, lengths, etc. The whole first part on algebra is much more dry than the rest of the book, and it is good to motivate this algebra through geometry. This pattern is related to the extension of one system of objects to a larger system, in which more equations can be solved than in the smaller system. We find many of them, like commutativity and associativity, whichrecur frequently in mathematics and apply to other objects.

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