Integration II: Chapters 7-9 (Elements of Mathematics)
暫譯: 整合 II:數學元素第 7-9 章
N. Bourbaki
- 出版商: Springer
- 出版日期: 2004-09-07
- 售價: $6,480
- 貴賓價: 9.5 折 $6,156
- 語言: 英文
- 頁數: 326
- 裝訂: Hardcover
- ISBN: 3540205853
- ISBN-13: 9783540205852
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商品描述
Integration is the sixth and last of the books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author's Théories Spectrales, an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups.
The first volume of the English translation comprises Chapters 1-6; the present volume completes the translation with the remaining Chapters 7-9.
Chapters 1-5 received very substantial revisions in a second edition, including changes to some fundamental definitions. Chapters 6-8 are based on the first editions of Chapters 1-5. The English edition has given the author the opportunity to correct misprints, update references, clarify the concordance of Chapter 6 with the second editions of Chapters 1-5, and revise the definition of a key concept in Chapter 6 (measurable equivalence relations).
商品描述(中文翻譯)
《整合》是構成布爾巴基系列核心的第六本也是最後一本書;它大量引用了前五本書的內容,特別是《一般拓撲學》和《拓撲向量空間》,使其成為這六本書的巔峰之作。這個工具的強大在作者的《譜理論》第二章中得到了驚人的展示,該章僅用38頁就闡述了抽象調和分析和局部緊緻阿貝爾群的結構。
英文翻譯的第一卷包含第1至第6章;本卷則完成了第7至第9章的翻譯。
第1至第5章在第二版中進行了相當大的修訂,包括對一些基本定義的更改。第6至第8章則基於第1至第5章的第一版。英文版使作者有機會更正印刷錯誤、更新參考文獻、澄清第6章與第1至第5章第二版的一致性,並修訂第6章中一個關鍵概念的定義(可測等價關係)。