EAN: 9783322820389

THE CONTINUUM - RUDOLF TASCHNER KARTONIERT (TB)

Few mathematical structures have undergone as many revlSlons or have been presented in as many
guises as the real numbers. Every generation re-examines the reals in the light of its values
and mathematical objectives. This citation is said to be due to Gian-Carlo Rota  and in this
book its correctness again is affirmed. Here I propose to investigate the structure of the
mathematical continuum by undertaking a rather unconventional access to the real numbers: the
intuitionistic one. The traces can be tracked back at least to L.E.J. Brouwer and to H. Weyl.
Largely unknown photographies of Weyl in Switzerland after World War II provided by Peter
Bettschart enliven the abstract text full of subtle definitions and sophisticated estimations.
The book can be read by students who have undertaken the usual analysis courses and want to
know more about the intrinsic details of the underlying concepts  and it can also be used by
university teachers in lectures for advanced undergraduates and inseminaries for graduate
students. I wish to thank Walter Lummerding and Gottfried Oehl who helped me with their
impressive expert knowledge of the English language. I also take the opportunity to express my
gratitude to Ulrike Schmickler-Hirzebruch and to the staff of Vieweg-Verlag for editing my
manuscript just now  exactly 50 years after the death of Hermann Weyl  in their renowned
publishing house. Vienna  2005 Rudolf Taschner Contents 1 Introduction and historical remarks 1
1.1 F AREY fractions. .

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