Computable Structure Theory: A Unified Approach
暫譯: 可計算結構理論:統一方法
Downey, Rodney G., Melnikov, Alexander
- 出版商: Springer
- 出版日期: 2025-08-22
- 售價: $5,460
- 貴賓價: 9.5 折 $5,187
- 語言: 英文
- 頁數: 540
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031924320
- ISBN-13: 9783031924323
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相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
商品描述
This is the first book which gives a unified theory for countable and uncountable computable structures.
The work treats computable linear orderings, graphs, groups and Boolean algebras unified with computable metric and Banach spaces, profinite groups, and the like. Further, it provides the first account of these that exploits effective versions of dualities, such as Stone and Pontryagin dualities. The themes are effective classification and enumeration.
Topics and features:
- - - - -This unique volume is aimed at graduate students and researchers in computability theory, as well as mathematicians seeking to understand the algorithmic content of structure theory. Being self-contained, it provides ample opportunity for self-study.
商品描述(中文翻譯)
這是第一本為可數和不可數可計算結構提供統一理論的書籍。
本書探討可計算的線性序列、圖形、群和布爾代數,並與可計算的度量空間和巴拿赫空間、極限群等統一。此外,它首次利用有效版本的對偶性(如 Stone 和 Pontryagin 對偶性)來描述這些主題。主題包括有效分類和枚舉。
**主題和特點:**
這本獨特的書籍旨在針對研究可計算性理論的研究生和研究人員,以及希望理解結構理論算法內容的數學家。由於內容自成體系,提供了充分的自學機會。
作者簡介
Professor Rodney Downey and Associate Professor Alexander Melnikov both are affiliated with the School of Mathematics and Statistics at Victoria University, Wellington, New Zealand.
作者簡介(中文翻譯)
教授羅德尼·道尼和副教授亞歷山大·梅爾尼科夫均隸屬於紐西蘭威靈頓維多利亞大學數學與統計學院。