Symposia Gaussina Conference A: Mathematics and Theoretical Physics: Proceedings of the 2nd Gauss Symposium, Munich, Germany, August 2-7, 1993

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A selection of refereed papers presented at Conference A, Mathematics and Theoretical Physics, of the Second Gauss Symposium, held in August 1993. The papers are grouped by topic according to sections of the conference: mathematical education, history of mathematics, mathematical logic, algebra and number theory, geometry, analysis of several complex variables, algebraic topology, quantum groups and q- deformation, computational physics, relativistic celestial mechanics, astrophysics and cosmology, GauB and geomagnetism, and general. No index. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9783110144765
  • Publisher: De Gruyter
  • Publication date: 7/28/1995
  • Series: Symposia Gaussiana Series
  • Pages: 768
  • Product dimensions: 6.84 (w) x 9.82 (h) x 1.70 (d)

Table of Contents

Officials of the 2[superscript nd] Gauss Symposium
Table of Contents
Eroffnung - Opening Address
Grusswort - Word of Greeting
Sections and their chairs
Wie Gauss die alte Gottinger Mathematik schuf 1
Functional integration; a semi-historical perspective 17
Existence of lattice structures in a class of magnetic phase transitions 25
The Fibonacci numbers and the Arctic Ocean 41
Interplay of ideas in teaching mathematics 85
Soviet studies on teaching of university mathematics 97
The role of microworlds for constructing mathematical concepts 101
"Gausssche Quadrate" or Knut Vik designs - the history of a combinatorial structure 121
Die Mathematik und ihre Assistenten an der TH Munchen (1868-1918) 135
An afterthought of Gauss on cyclotomy 147
Harmony and cosmos: mathematics serving a teleological understanding of the world 151
Gauss' Arbeiten uber kurzeste Linien aus der Sicht der Variations-rechnung 167
Implizite gruppentheoretische Denkformen in den "Disquisitiones arithmeticae" von Carl Friedrich Gauss 179
Programs from classical proofs 187
Semantics for some constructors of type theory 201
Loop-free construction of counter-models in intuitionistic propositional logic 225
G-Cogalois field extensions and primitive elements 233
Sums of three squares, from Gauss to modular forms 241
Local Galois module structure and Hopf orders 249
Recipes for lattice dicing 257
Representations of Lie algebras with triangular decomposition 275
Local class field theory for metabelian extensions 287
Convexity theories 0 cont. - foundations 301
Banach spaces and superconvex modules 323
Affine categories which are varieties 339
A geometrical approach to rational solutions of the classical Yang-Baxter equation. Part I 347
Necessary conditions for the existence of conservation laws for systems of partial differential equations 359
A new decoration of the Socolar-Steinhardt tilings; an initial model for quasicrystals 377
A skew-symmetric curvature operator in Riemannian geometry 391
Development of non-Euclidean geometries since Gauss 397
Recent results in elementary geometry, part II 419
A curvature operator in Riemannian geometry 445
The theorem of Gauss-Bonnet in complex analysis 451
On the origins of p-adic analysis 459
Certain properties of minimal triangulations of spheres 475
Stiefel-Whitney polynomials 485
On spherically generated rational spaces 491
Approximating spaces by polyhedra 499
Finite determinacy phenomena for finitely presented groups 507
Modular properties of ribbon abelian categories 529
Hopf-Galois extensions of graded algebras 581
Massive parallelism as the new track for scientific computing 591
Relativistic celestial mechanics 599
Timelike incompleteness of spacetimes 611
The Lyman [alpha] forests and the universal bubble structure 617
Noradial oscillations of neutron stars: a new branch of strongly damped normal modes 627
Testing Einstein's theory of gravity by lunar laser ranging 637
The gravitational fields of rotating bodies as minimal surfaces 649
The general relativistic two-body-problem. Theory and experiment 667
The solution of the second post-Newtonian two-body problem 681
Magnetospheres: the external magnetic field 695
An inequality for the Kummer confluent hypergeometric function 715
Complete systems of Kummer and Weber-Hermite functions in spaces of holomorphic functions 723
Epimorphisms of topological groups and Z-sets in the Hilbert cube 733
Alphabetical List of Contributors 739
Author Index 745
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