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Titlebook: Sets, Functions and Logic; Basic concepts of un Keith J. Devlin Book 1981 K. J. Devlin 1981 Calc.calculus.complex number.derivative.differe

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书目名称Sets, Functions and Logic
副标题Basic concepts of un
编辑Keith J. Devlin
视频video
图书封面Titlebook: Sets, Functions and Logic; Basic concepts of un Keith J. Devlin Book 1981 K. J. Devlin 1981 Calc.calculus.complex number.derivative.differe
描述The purpose of this book is to provide the student beginning undergraduate mathematics with a solid foundation in the basic logical concepts necessary for most of the subjects encountered in a university mathematics course. The main distinction between most school mathematics and university mathematics lies in the degree of rigour demanded at university level. In general, the new student has no experience of wholly rigorous definitions and proofs, with the result that, although competent to handle quite difficult problems in, say, the differential calculus, he/she is totally lost when presented with a rigorous definition oflimits and derivatives. In effect, this means that in the first few weeks at university the student needs to master what is virtually an entire new language {‘the language of mathematics‘} and to adopt an entirely new mode ofthinking. Needless to say, only the very ablest students come through this process without a great deal of difficulty.
出版日期Book 1981
关键词Calc; calculus; complex number; derivative; differential calculus; function; functions; language; mathematic
版次1
doihttps://doi.org/10.1007/978-1-4899-2967-9
isbn_softcover978-0-412-22660-1
isbn_ebook978-1-4899-2967-9
copyrightK. J. Devlin 1981
The information of publication is updating

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The real numbers, in the first place? In real life, we are never able to measure any quantity (e. g. length or temperature) to more than a few decimal places, for which the rational numbers suffice. Indeed, the rational numbers suffice for the measurement of any quantity to .. This fact is illustrated by the following simple result.
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https://doi.org/10.1007/978-1-4899-2967-9Calc; calculus; complex number; derivative; differential calculus; function; functions; language; mathematic
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Sets and functions,or instance we have:.So long as we have some way of specifying the collection, then we say it is a .. Our last example above has already made use of the notion of ‘membership’. If . is a set, then the members of the collection . are called either the . of . or the . of .. (With a concept as simple a
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