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