书目名称 | Problems in Analysis | 编辑 | Bernard R. Gelbaum | 视频video | | 丛书名称 | Problem Books in Mathematics | 图书封面 |  | 描述 | These problems and solutions are offered to students of mathematics who have learned real analysis, measure theory, elementary topology and some theory of topological vector spaces. The current widely used texts in these subjects provide the background for the understanding of the problems and the finding of their solutions. In the bibliography the reader will find listed a number of books from which the necessary working vocabulary and techniques can be acquired. Thus it is assumed that terms such as topological space, u-ring, metric, measurable, homeomorphism, etc., and groups of symbols such as AnB, x EX, f: IR 3 X 1-+ X 2 - 1, etc., are familiar to the reader. They are used without introductory definition or explanation. Nevertheless, the index provides definitions of some terms and symbols that might prove puzzling. Most terms and symbols peculiar to the book are explained in the various introductory paragraphs titled Conventions. Occasionally definitions and symbols are introduced and explained within statements of problems or solutions. Although some solutions are complete, others are designed to be sketchy and thereby to give their readers an opportunity to exercise their s | 出版日期 | Textbook 1982 | 关键词 | Analysis /Aufgabensammlung; calculus; measure; measure theory; real analysis | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4615-7679-2 | isbn_softcover | 978-1-4615-7681-5 | isbn_ebook | 978-1-4615-7679-2Series ISSN 0941-3502 Series E-ISSN 2197-8506 | issn_series | 0941-3502 | copyright | Springer-Verlag New York Inc. 1982 |
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