Here is an introductory textbook which is designed to be useful not only to intending logicians but also to mathematicians in general. Based on Dr Hamilton's lectures to third and fourth year undergraduate mathematicians at the University of Stirling it has been written to introduce student or professional mathematicians, whose background need cover no more than a typical first year undergraduate mathematics course, to the techniques and principal results of mathematical logic. In presenting the subject matter without bias towards particular aspects, applications or developments, an attempt has been made to place it in the context of mathematics and to emphasise the relevance of logic to the mathematician. Starting at an elementart level, the text progresses from informal discussion to the precise description and use of formal mathematical and logical systems. The early chapters cover propositional and predicate calculus. The later chapters deal with Godel's theorem on the incompleteness of arithmetic and with various undecidability and unsolvability results, including a discussion of Turing machines and abstract computability. Each section ends with exercises designed to clarify and consolidate the material in that section. Hints or solutions to many of these are provided at the end of the book. The revision of this very successful textbook includes new sections on Skolemisation and applying well-formed formulas to logic programming. Some corrections have been made and extra exercises added.
具体描述
读后感
hamilton的书有中文版“数学家的逻辑”，翻译得不错。可惜的是，没有再版。 在大学图书馆应该有。
评分hamilton的书有中文版“数学家的逻辑”，翻译得不错。可惜的是，没有再版。 在大学图书馆应该有。
评分hamilton的书有中文版“数学家的逻辑”，翻译得不错。可惜的是，没有再版。 在大学图书馆应该有。
评分hamilton的书有中文版“数学家的逻辑”，翻译得不错。可惜的是，没有再版。 在大学图书馆应该有。
评分hamilton的书有中文版“数学家的逻辑”，翻译得不错。可惜的是，没有再版。 在大学图书馆应该有。
用户评价
每个定理的证明，每句注释和评论都值得好好品味。
评分比较通俗
评分比较通俗
评分只是好好地读了前四章 做完每一道题目 对逻辑有点死心了 不知下次是何时还会再读。
评分很经典的数理逻辑教材，和其他同类教材比起来的确简洁很多，非常不错，用起来很顺手。适合初学者。只是据说太偏向计算机应用，所以书中定理的证明不够精确。
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