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The Foundations of Geometry

The Foundations of Geometry

David Hilbert

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Editorial:
Fisher Press
Año de edición:
2013
Materia
Historia
ISBN:
9781473300613
19,04 €
IVA incluido
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Sobre IBD

This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.

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Otros libros del autor

  • The Foundation of Geometry
    David Hilbert
    Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry. The present book is a new attempt to choose for geometry a simple and complete set of independent axioms and to deduce from these the most important geometrical theorems in such a manner as to brin...
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  • Gesammelte Abhandlungen III
    David Hilbert
    Aus dem Vorwort von David Hilbert: 'Entgegen dem ursprünglichen Plan einer vierbändigen Ausgabe meiner Abhandlungen konnte der Abdruck meiner Arbeiten über Analysis, Physik und Grundlagen im Rahmen dieses dritten Bandes erfolgen und mit ihm die Ausgabe abgeschlossen werden. Dies wurde durch Verzicht auf den Abdruck der als Sonderdruck in Buchform veröffentlichten Abhandlungen ü...
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  • The Foundations of Geometry
    David Hilbert
    Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles: the axioms of geometry. The choice of axioms and their relations to one another is a problem which, has been discussed since the time of Euclid. This problem is tantamount to the logical analysis of our intuition of space. Hilbert attempts to choose for geom...
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  • Gesammelte Abhandlungen I
    David Hilbert
    Aus dem Vorwort von David Hilbert: 'Die wissenschaftliche Arbeit bei der Herausgabe hat nicht nur äußerste Sorgfalt, sondern auch feinstes Verständnis erfordert und konnte daher nur geleistet werden von Gelehrten, die durch gründliche Studien in den dabei behandelten Fächern dazu vorbereitet sind. Diese Aufgabe ist für den vorliegenden ersten Band, der insbesondere meinen große...
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  • Gesammelte Abhandlungen II
    David Hilbert
    Hilberts algebraische Arbeiten 'Über die Theorie der algebraischen Formen' und 'Über die vollen Invariantensysteme' haben einen umwälzenden Einfluss auf das algebraische Denken gehabt. Sie ragen in Methode und Bedeutung über den Bereich der Invariantentheorie weit hinaus. Ihr wesentlicher Kern besteht in der Anwendung arithmetischer Methoden auf algebraische Probleme. Indem Hil...
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  • The Foundations of Geometry
    David Hilbert
    CHAPTER I. THE FIVE GROUPS OF AXIOMSCHAPTER II. THE COMPATIBILITY AND MUTUAL INDEPENDENCE OF THE AXIOMS.CHAPTER III. THE THEORY OF PROPORTION.CHAPTER IV. THE THEORY OF PLANE AREAS.CHAPTER V. DESARGUES’S THEOREM.CHAPTER VI. PASCAL’S THEOREM.CHAPTER VII. GEOMETRICAL CONSTRUCTIONS BASED UPON THE AXIOMS I-V. ...
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