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This volume takes Hermann Weyl's "Raum - Zeit - Materie" (Space - Time - Matter) as a centre of concentration and a starting field for a broader look at his work. The book looks at Weyl's involvement in relativity, cosmology and matter theories between the classical unified field theories and quantum physics from the perspective of a creative mind struggling against theories of nature restricted by the view of classical determination. It also covers Weyl's work in the mathematical sciences in general and in philosophy. The range covered includes: real analysis; complex function theory and Riemann surfaces; elementary ergodic theory; foundations of mathematics; differential geometry; general relativity; Lie groups; quantum mechanics; and number theory.
I Historical Aspects of Weyl's Raum - Zeit - Materie.- 1 Journeys in spacetime Sigurdsson.- 2 Weyls Infinitesimalgeometrie, 1917-1925 (Erhard Scholz).- 3 Weyl's contributions to cosmology (Hubert Goenner).- 4 Ursprünge der Eichtheorien (Norbert Straumann).- II Hermann Weyl: Mathematician, Physicist, Philosopher (Robert Coleman and Herbert Kortä.- 1 Introduction.- 2 The young analyst.- 3 Riemann surfaces.- 4 Spacetime.- 5 Group theory and its applications.- 6 Foundations of mathematics.- III Appendices.- Common Weyl Bibliography.- Authors.
Felix Hausdorff, Egbert Brieskorn, Srishti Chatterji, Moritz Epple, Ulrich Felgner, Horst Herrlich, Mirek Husek, Vladimir Kanovei, Peter Kopeke, Gerhard Preuß, Walter Purkert, Erhard Scholz
Felix Hausdorff, Egbert Brieskorn, Srishti Chatterji, Moritz Epple, Ulrich Felgner, Horst Herrlich, Mirek Husek, Vladimir Kanovei, Peter Kopeke, Gerhard Preuß, Walter Purkert, Erhard Scholz