Symposia Gaussiana : : Proceedings of the 2nd Gauss Symposium, August 2-7, 1993, Munich. / Conference A, : Mathematics and Theoretical Physics / / ed. by Minaketan Behara, Rubens G. Lintz, Rudolf Fritsch.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
• MitwirkendeR: Albu, Toma,; Arenas, Angela,; Berger, Ulrich,; Bogoyavlenskij, Oleg I.,; Boyadjiev, Lyubomir,; Byott, Nigel P.,; Cofman, Judita,; Damour, Thibault,; Danzer, Ludwig,; DeWitt-Morette, Cécile,; Dyckhoff, Roy,; Erdahl, Robert M.,; Eschenburg, Jost-Hinrich,; Farnsteiner, Rolf,; Forster, Otto,; Grauert, Hans,; Gropp, Harald,; Hashagen, Ulf,; Hoell, Josef,; Ivanova, Raina,; Ivanšić, Ivan,; Jaworowski, Jan,; Josephy, Michael,; Kadeishvili, Tornike,; Karzel, Helmut,; Kirilov Rusev, Peter,; Knobloch, Eberhard,; Koch, Helmut,; Kristiansen, Lill,; Leins, Markus,; Lyubashenko, Volodymyr,; MacDowell, Samuel W.,; Mardešić, Sibe,; Martini, Horst,; Müller, Jürgen,; Neugebauer, Gernot,; Nicolae, Florin,; Nollert, Hans-Peter,; Normann, Dag,; Papadima, Stefan,; Pareigis, Bodo,; Pinto, Luis,; Priester, Wolfgang,; Pumplün, Dieter,; Ribenboim, Paulo,; Rieth, Roland,; Ruder, Hanns,; Ryshkov, Sergej S.,; Röhrl, Helmut,; Safuanov, Ildar S.,; Schauenburg, Peter,; Schneider, Manfred,; Schwank, Inge,; Schäfer, Gerhard,; Soffel, Michael,; Stanilov, Grozio,; Stolin, Alexander,; Talis, Alexandr,; Thiele, Rüdiger,; Treumann, Rudolf A.,; Ullrich, Peter,; Uspenskij, Vladimir Vladimirovich,; Videv, Veselin,; Wex, Norbert,; Wußing, Hans,; Xu, Chongming,; de Moura, Carlos A.,
• HerausgeberIn: Behara, Minaketan,; Fritsch, Rudolf,; Lintz, Rubens G.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©1995
• Year of Publication: 2011
• Edition: Reprint 2011
• Language: English
• Series: De Gruyter Proceedings in Mathematics ; Conference A
• Physical Description: 1 online resource (745 p.)

Table of Contents

I-XX -- Opening Lecture -- Wie Gauß die alte Göttinger Mathematik schuf -- Plenary Addresses -- Functional integration; a semi-historical perspective -- Existence of lattice structures in a class of magnetic phase transitions -- The Fibonacci numbers and the Arctic Ocean -- Section 0: Mathematical Education -- Interplay of ideas in teaching mathematics -- Soviet studies on teaching of university mathematics -- The role of microworlds for constructing mathematical concepts -- Section 1: History of Mathematics -- "Gaußsche Quadrate" or Knut Vik designs—the history of a combinatorial structure -- Die Mathematik und ihre Assistenten an der TH München (1868-1918) -- An afterthought of Gauss on cyclotomy -- Harmony and cosmos: mathematics serving a teleological understanding of the world -- Gauß' Arbeiten über kürzeste Linien aus der Sicht der Variationsrechnung -- Implizite gruppentheoretische Denkformen in den „Disquisitiones arithmeticae" von Carl Friedrich Gauß -- Section 2: Mathematical Logic -- Programs from classical proofs -- Semantics for some constructors of type theory -- Loop-free construction of counter-models in intuitionistic propositional logic -- Section 3: Algebra and Number Theory -- G-Cogalois field extensions and primitive elements -- Sums of three squares, from Gauß to modular forms -- Local Galois module structure and Hopf orders -- Recipes for lattice dicing -- Representations of Lie algebras with triangular decomposition -- Local class field theory for metabelian extensions -- Convexity theories 0 cont.—foundations -- Banach spaces and superconvex modules -- Affine categories which are varieties -- A geometrical approach to rational solutions of the classical Yang-Baxter equation. Part I -- Section 4: Geometry -- Necessary conditions for the existence of conservation laws for systems of partial differential equations -- A new decoration of the Socolar-Steinhardt tilings; an initial model for quasicrystals -- A skew-symmetric curvature operator in Riemannian geometry -- Development of non-Euclidean geometries since Gauß -- Recent results in elementary geometry, part II -- A curvature operator in Riemannian geometry -- Section 5: Analysis of Several Complex Variables -- The theorem of Gauß-Bonnet in complex analysis -- On the origins of p-adic analysis -- Section 7: Algebraic Topology -- Certain properties of minimal triangulations of spheres -- Stiefel-Whitney polynomials -- On spherically generated rational spaces -- Approximating spaces by polyhedra -- Finite determinacy phenomena for finitely presented groups -- Section 8: Quantum Groups and q-Deformation -- Modular properties of ribbon abelian categories -- Hopf-Galois extensions of graded algebras -- Section 9: Computational Physics -- Massive parallelism as the new track for scientific computing -- Section 10: Relativistic Celestial Mechanics: Astrophysics and Cosmology -- Relativistic celestial mechanics -- Timelike incompleteness of spacetimes -- The Lyman α forests and the universal bubble structure -- Nonradial oscillations of neutron stars: a new branch of strongly damped normal modes -- Testing Einstein's theory of gravity by lunar laser ranging -- The gravitational fields of rotating bodies as minimal surfaces -- The general relativistic two-body-problem. Theory and experiment -- The solution of the second post-Newtonian two-body problem -- Section 11: Gauß and Geomagnetism -- Magnetospheres: the external magnetic field -- Section 12: General -- An inequality for the Kummer confluent hypergeometric function -- Complete systems of Kummer and Weber-Hermite functions in spaces of holomorphic functions -- Epimorphisms of topological groups and Z-sets in the Hilbert cube -- Alphabetical List of Contributors -- Author Index