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First Journey through Logic

Martin Hils
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      The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum. The book starts with a presentation of naive set theory, the theory of sets that mathematicians use on a daily basis. Each subsequent chapter presents one of the main areas of mathematical logic: first order logic and formal proofs, model theory, recursion theory, Godel's incompleteness theorem, and, finally, the axiomatic set theory. Each chapter includes several interesting highlights—outside of logic when possible—either in the main text, or as exercises or appendices. Exercises are an essential component of the book, and a good number of them are designed to provide an opening to additional topics of interest.
      Format: Paperback / softback CONTRIBUTORS: Martin Hils EAN: 9781470452728 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 216 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2019-08-01 CITY: GENRE: MATHEMATICS / Logic WIDTH: 140 cm SPINE:

      Book Themes:

      Mathematical logic

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      Martin Hils, Westfalische Wilhelms-Universitat Munster, Germany.Francois Loeser, Sorbonne Universite, Paris, France.
      The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum. The book starts with a presentation of naive set theory, the theory of sets that mathematicians use on a daily basis. Each subsequent chapter presents one of the main areas of mathematical logic: first order logic and formal proofs, model theory, recursion theory, Godel's incompleteness theorem, and, finally, the axiomatic set theory. Each chapter includes several interesting highlights—outside of logic when possible—either in the main text, or as exercises or appendices. Exercises are an essential component of the book, and a good number of them are designed to provide an opening to additional topics of interest.
      Format: Paperback / softback CONTRIBUTORS: Martin Hils EAN: 9781470452728 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 216 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2019-08-01 CITY: GENRE: MATHEMATICS / Logic WIDTH: 140 cm SPINE:

      Book Themes:

      Mathematical logic

      Customer Reviews

      Be the first to write a review
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      Martin Hils, Westfalische Wilhelms-Universitat Munster, Germany.Francois Loeser, Sorbonne Universite, Paris, France.

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