Lectures in Logic and Set Theory: Volume 1, Mathematical Logic
暫譯: 邏輯與集合論講義:第一卷,數學邏輯
Tourlakis, George
- 出版商: Cambridge
- 出版日期: 2010-09-09
- 售價: $2,600
- 貴賓價: 9.5 折 $2,470
- 語言: 英文
- 頁數: 342
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0521168465
- ISBN-13: 9780521168465
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相關分類:
離散數學 Discrete-mathematics
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商品描述
This two-volume work bridges the gap between introductory expositions of logic (or set theory) and the research literature. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly lecture style that makes them equally effective for self-study or class use. Volume I includes formal proof techniques, applications of compactness (including nonstandard analysis), computability and its relation to the completeness phenonmenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen.
商品描述(中文翻譯)
這部兩卷本的著作填補了邏輯(或集合論)入門介紹與研究文獻之間的空白。它可以作為數學、計算機科學或哲學的高級本科或初級研究生課程的教材。這兩卷書以使用者友好的講座風格撰寫,使其在自學或課堂使用上同樣有效。第一卷包括形式證明技術、緊湊性的應用(包括非標準分析)、可計算性及其與完備性現象的關係,以及自希爾伯特和伯納伊的《基礎》以來首次呈現的哥德爾第二不完備性定理的完整證明。