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.

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
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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
Online Access:
Physical Description:1 online resource (745 p.)
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Description
Other title: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
Format:Mode of access: Internet via World Wide Web.
ISBN:9783110886726
9783110637199
DOI:10.1515/9783110886726
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: ed. by Minaketan Behara, Rubens G. Lintz, Rudolf Fritsch.