<電子ブック>
Theorems and Counterexamples in Mathematics / by Bernard R. Gelbaum, John M.H. Olmsted
(Problem Books in Mathematics. ISSN:21978506)
版 | 1st ed. 1990. |
---|---|
出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 1990 |
本文言語 | 英語 |
大きさ | XXXIV, 305 p : online resource |
著者標目 | *Gelbaum, Bernard R author Olmsted, John M.H author SpringerLink (Online service) |
件 名 | LCSH:Mathematics FREE:Mathematics |
一般注記 | 1 Algebra -- 1.1 Group Theory -- 1.2 Algebras -- 1.3 Linear Algebra -- 2 Analysis -- 2.1 Classical Real Analysis -- 2.2 Measure Theory -- 2.3 Topological Vector Spaces -- 2.4 Topological Algebras -- 2.5 Differential Equations -- 2.6 Complex Variable Theory -- 3 Geometry/Topology -- 3.1 Euclidean Geometry -- 3.2 Topological Spaces -- 3.3 Exotica in Differential Topology -- 4 Probability Theory -- 4.1 Independence -- 4.2 Stochastic Processes -- 4.3 Transition Matrices -- 5 Foundations -- 5.1 Logic -- 5.2 Set Theory -- Supplemental Bibliography -- Symbol List -- Glossary/Index The gratifying response to Counterexamples in analysis (CEA) was followed, when the book went out of print, by expressions of dismay from those who were unable to acquire it. The connection of the present volume with CEA is clear, although the sights here are set higher. In the quarter-century since the appearance of CEA, mathematical education has taken some large steps reflected in both the undergraduate and graduate curricula. What was once taken as very new, remote, or arcane is now a well-established part of mathematical study and discourse. Consequently the approach here is designed to match the observed progress. The contents are intended to provide graduate and ad vanced undergraduate students as well as the general mathematical public with a modern treatment of some theorems and examples that constitute a rounding out and elaboration of the standard parts of algebra, analysis, geometry, logic, probability, set theory, and topology. The items included are presented in the spirit of a conversation among mathematicians who know the language but are interested in some of the ramifications of the subjects with which they routinely deal. Although such an approach might be construed as demanding, there is an extensive GLOSSARY jlNDEX where all but the most familiar notions are clearly defined and explained. The object ofthe body of the text is more to enhance what the reader already knows than to review definitions and notations that have become part of every mathematician's working context HTTP:URL=https://doi.org/10.1007/978-1-4612-0993-5 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9781461209935 |
|
電子リソース |
|
EB00227553 |
類似資料
この資料の利用統計
このページへのアクセス回数:4回
※2017年9月4日以降