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  • Online Resource  (4)
  • Biografie  (2)
  • Lehrbuch  (2)
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  • Online Resource  (4)
  • Book  (9)
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  • 1
    UID:
    b3kat_BV040728103
    Format: 1 Online-Ressource
    ISBN: 9781447146155 , 9781447146162
    Language: English
    Keywords: Brouwer-Fixpunktsatz ; Brouwer, Luitzen E. J. 1881-1966 ; Biografie ; Electronic books
    Author information: Dalen, Dirk van 1932-
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    London [u.a.] : Springer
    UID:
    b3kat_BV040728088
    Format: 1 Online-Ressource (X, 263 S.) , graph. Darst.
    Edition: 5. ed.
    ISBN: 9781447145578 , 9781447145585
    Series Statement: Universitext
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Mathematische Logik ; Lehrbuch
    Author information: Dalen, Dirk van 1932-
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  • 3
    UID:
    gbv_1651954135
    Format: Online-Ressource (XII, 875 p. 97 illus., 19 illus. in color, digital)
    ISBN: 9781447146162 , 1283933411 , 9781283933414
    Series Statement: SpringerLink
    Content: Child and Student -- Mathematics and Mysticism -- The Dissertation.-Cantor-Schoenflies Topology -- The New Topology -- Making a Career -- The War Years -- Mathematics after the War -- Politics and Mathematics -- The Breakthrough -- The Fathers of Dimension -- Progress, Recognition, and Frictions -- From Berlin to Vienna -- The Three Battles -- The Thirties -- War and Occupation -- Post-War Events -- The Restless Emeritus.
    Content: Dirk van Dalen’s biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer. Brouwer belonged to a special class of genius; complex and often controversial and gifted with a deep intuition, he had an unparalleled access to the secrets and intricacies of mathematics. Most mathematicians remember L.E.J. Brouwer from his scientific breakthroughs in the young subject of topology and for the famous Brouwer fixed point theorem. Brouwer’s main interest, however, was in the foundation of mathematics which led him to introduce, and then consolidate, constructive methods under the name ‘intuitionism’. This made him one of the main protagonists in the ‘foundation crisis’ of mathematics. As a confirmed internationalist, he also got entangled in the interbellum struggle for the ending of the boycott of German and Austrian scientists. This time during the twentieth century was turbulent; nationalist resentment and friction between formalism and intuitionism led to the Mathematische Annalen conflict ('The war of the frogs and the mice'). It was here that Brouwer played a pivotal role. The present biography is an updated revision of the earlier two volume biography in one single book. It appeals to mathematicians and anybody interested in the history of mathematics in the first half of the twentieth century.
    Note: Includes bibliographical references and index , ​Child and Student -- Mathematics and Mysticism -- The Dissertation.-Cantor-Schoenflies Topology -- The New Topology -- Making a Career -- The War Years -- Mathematics after the War -- Politics and Mathematics -- The Breakthrough -- The Fathers of Dimension -- Progress, Recognition, and Frictions -- From Berlin to Vienna -- The Three Battles -- The Thirties -- War and Occupation -- Post-War Events -- The Restless Emeritus.
    Additional Edition: ISBN 9781447146155
    Additional Edition: Buchausg. u.d.T. Dalen, Dirk van, 1932 - L.E.J. Brouwer - topologist, intuitionist, philosopher London : Springer, 2013 ISBN 9781447146155
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Brouwer-Fixpunktsatz ; Brouwer, Luitzen E. J. 1881-1966 ; Biografie
    URL: Volltext  (lizenzpflichtig)
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    Author information: Dalen, Dirk van 1932-
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  • 4
    Online Resource
    Online Resource
    London : Springer
    UID:
    gbv_1651916691
    Format: Online-Ressource (X, 263 p. 27 illus, digital)
    Edition: 5th ed. 2013
    ISBN: 9781447145585
    Series Statement: Universitext
    Content: Introduction -- Propositional Logic -- Predicate Logic -- Completeness and Applications -- Second Order Logic -- Intuitionistic Logic -- Normalization -- Gödel's theorem.
    Content: Dirk van Dalen’s popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel’s famous incompleteness theorem. Propositional and predicate logic are presented in an easy-to-read style using Gentzen’s natural deduction. The book proceeds with some basic concepts and facts of model theory: a discussion on compactness, Skolem-Löwenheim, non-standard models and quantifier elimination. The discussion of classical logic is concluded with a concise exposition of second-order logic. In view of the growing recognition of constructive methods and principles, intuitionistic logic and Kripke semantics is carefully explored. A number of specific constructive features, such as apartness and equality, the Gödel translation, the disjunction and existence property are also included. The last chapter on Gödel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory. This new edition has been properly revised and contains a new section on ultra-products.
    Note: Description based upon print version of record , 〈p〉Introduction -- Propositional Logic -- Predicate Logic -- Completeness and Applications -- Second Order Logic -- Intuitionistic Logic -- Normalization -- Gödel's theorem.〈/p〉.
    Additional Edition: ISBN 9781447145578
    Additional Edition: Buchausg. u.d.T. Dalen, Dirk van, 1932 - Logic and structure Berlin : Springer, 2013 ISBN 9781447145578
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Mathematische Logik ; Mathematische Logik ; Lehrbuch
    URL: Volltext  (lizenzpflichtig)
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    Author information: Dalen, Dirk van 1932-
    Library Location Call Number Volume/Issue/Year Availability
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