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Titlebook: An Introduction to Analysis; Arlen Brown,Carl Pearcy Textbook 1995 Springer Science+Business Media New York 1995 Analysis.calculus.compac

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发表于 2025-3-21 19:49:37 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Analysis
影响因子2023Arlen Brown,Carl Pearcy
视频video
学科分类Graduate Texts in Mathematics
图书封面Titlebook: An Introduction to Analysis;  Arlen Brown,Carl Pearcy Textbook 1995 Springer Science+Business Media New York  1995 Analysis.calculus.compac
影响因子As its title indicates, this book is intended to serve as a textbook for an introductory course in mathematical analysis. In preliminary form the book has been used in this way at the University of Michigan, Indiana University, and Texas A&M University, and has proved serviceable. In addition to its primary purpose as a textbook for a formal course, however, it is the authors‘ hope that this book will also prove of value to readers interested in studying mathematical analysis on their own. Indeed, we believe the wealth and variety of examples and exercises will be especially conducive to this end. A word on prerequisites. With what mathematical background might a prospective reader hope to profit from the study of this book? Our con­ scious intent in writing it was to address the needs of a beginning graduate student in mathematics, or, to put matters slightly differently, a student who has completed an undergraduate program with a mathematics ma­ jor. On the other hand, the book is very largely self-contained and should therefore be accessible to a lower classman whose interest in mathematical analysis has already been awakened.
Pindex Textbook 1995
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0072-5285 m the book has been used in this way at the University of Michigan, Indiana University, and Texas A&M University, and has proved serviceable. In addition to its primary purpose as a textbook for a formal course, however, it is the authors‘ hope that this book will also prove of value to readers inte
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Cardinal numbers,the “cardinal number” of any set ., finite or not, to represent the number of elements in .. This goes as follows: A symbol, called the . of . (notation: card .), is associated with each set . according to the rule that card . and card . shall be equal if and only if there exists a one-to-one mapping of . onto ..
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The rudiments of set theory, of . and . of a collection of sets. We write . ∈ . to mean that . is an element of a set ., . ∉ . to mean that . is not an element of ., and . ⊂ . (or . ⊃ .) to mean that . is a subset of .. We also use the standard notation ∪ and ∩ for unions and intersections, respectively.
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