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The Real Numbers in Pointfree Topology. Second Edition 2026.
・ISBN 978-3-032-35888-2 hard EUR 129.99
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| 著者・編者 | Banaschewski, Bernhard, |
|---|---|
| シリーズ | Coimbra Mathematical Texts |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2026 |
| 言語 | ENG |
| ニュース番号 | ＜M25-25691＞ |
解説
This text, based on the lectures of a course presented at the University of Coimbra, and written in a very didactic and engaging style, is a careful and innovative exposition of
the pointfree theory of rings of continuous real functions and its constructive aspects.
A global treatment of pointfree continuous real functions puts them in a new perspective. Highlights of the book include an in-depth treatment of the Stone-Weierstrass theorem
and its applications to functional analysis.
The material appeared in book form for the first time in the previous collection Textos de Matematica - Universidade de Coimbra (vol. 12), and became the main reference on the topic. Three appendices provide the necessary background on concepts from logic, ordered rings and uniform structures.
The present edition has been carefully revised and expanded. It includes an essay on the author's mathematical career, style, and impact on mathematics by Karl Heinrich Hofmann (Darmstadt), as well as an interview with the author, conducted by Christopher Gilmour (Cape Town). The list of Bernhard Banaschewski's publications is also included, showing his contributions to an impressive number of areas.