株式会社極東書店トップ ＞ 商品一覧 ＞ A Circle-Line Study of Mathematical Analysis. 1st ed. 2022.
商品詳細
A Circle-Line Study of Mathematical Analysis. 1st ed. 2022.
・ISBN 978-3-031-19737-6 paper EUR 54.99
￥14,698.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
| 著者・編者 | Secchi, Simone, |
|---|---|
| シリーズ | UNITEXT |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2023 |
| ページ数 | 469 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2340＞ |
解説
The book addresses the rigorous foundations of mathematical analysis. The first part presents a complete discussion of the fundamental topics: a review of naive set theory, the structure of real numbers, the topology of R, sequences, series, limits, differentiation and integration according to Riemann.
The second part provides a more mature return to these topics: a possible axiomatization of set theory, an introduction to general topology with a particular attention to convergence in abstract spaces, a construction of the abstract Lebesgue integral in the spirit of Daniell, and the discussion of differentiation in normed linear spaces.
The book can be used for graduate courses in real and abstract analysis and can also be useful as a self-study for students who begin a Ph.D. program in Analysis. The first part of the book may also be suggested as a second reading for undergraduate students with a strong interest in mathematical analysis.