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Titlebook: Introduction to Mathematical Analysis; C. R. J. Clapham Book 1973 C. R. J. Clapham 1973 Riemann integral.calculus.continuous function.deri

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发表于 2025-3-21 17:16:21 | 显示全部楼层 |阅读模式
书目名称Introduction to Mathematical Analysis
编辑C. R. J. Clapham
视频video
丛书名称Library of Mathematics
图书封面Titlebook: Introduction to Mathematical Analysis;  C. R. J. Clapham Book 1973 C. R. J. Clapham 1973 Riemann integral.calculus.continuous function.deri
描述I have tried to provide an introduction, at an elementary level, to some of the important topics in real analysis, without avoiding reference to the central role which the completeness of the real numbers plays throughout. Many elementary textbooks are written on the assumption that an appeal to the complete­ ness axiom is beyond their scope; my aim here has been to give an account of the development from axiomatic beginnings, without gaps, while keeping the treatment reasonably simple. Little previous knowledge is assumed, though it is likely that any reader will have had some experience of calculus. I hope that the book will give the non-specialist, who may have considerable facility in techniques, an appreciation of the foundations and rigorous framework of the mathematics that he uses in its applications; while, for the intending mathe­ matician, it will be more of a beginner‘s book in preparation for more advanced study of analysis. I should finally like to record my thanks to Professor Ledermann for the suggestions and comments that he made after reading the first draft of the text.
出版日期Book 1973
关键词Riemann integral; calculus; continuous function; derivative; differential equation; limit of a function; m
版次1
doihttps://doi.org/10.1007/978-94-011-6572-3
isbn_softcover978-0-7100-7529-1
isbn_ebook978-94-011-6572-3
copyrightC. R. J. Clapham 1973
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Sequences,The notion of a limit, fundamental to analysis, is most easily introduced in terms of sequences of real numbers. An infinite . is a succession of real numbers .,., ., … in a definite order, with a . . corresponding to each positive integer n. This sequence will be denoted by (.).
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Differentiable Functions,The whole of differential calculus develops from one simple idea: a function is said to be . if a certain limit exists.
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rk tasks (vertical match)? These are the key questions which will be answered in this volume based on surveys of graduates from institutions of higher education recently undertaken in ten European countries (Austria, Czech Republic, France, Germany, Hungary, Italy, Norway, Netherlands, Poland, and U
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C. R. J. Claphamrk tasks (vertical match)? These are the key questions which will be answered in this volume based on surveys of graduates from institutions of higher education recently undertaken in ten European countries (Austria, Czech Republic, France, Germany, Hungary, Italy, Norway, Netherlands, Poland, and U
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C. R. J. Claphamrk tasks (vertical match)? These are the key questions which will be answered in this volume based on surveys of graduates from institutions of higher education recently undertaken in ten European countries (Austria, Czech Republic, France, Germany, Hungary, Italy, Norway, Netherlands, Poland, and U
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