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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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©1995 |
Year of Publication: | 2011 |
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Language: | English |
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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. Reprint 2011 Berlin ; Boston : De Gruyter, [2011] ©1995 1 online resource (745 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Proceedings in Mathematics ; Conference A 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jun 2022) Mathematical physics Congresses. Mathematics Congresses. MATHEMATICS / General. bisacsh Albu, Toma, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Arenas, Angela, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Behara, Minaketan, editor. edt http://id.loc.gov/vocabulary/relators/edt Berger, Ulrich, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bogoyavlenskij, Oleg I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Boyadjiev, Lyubomir, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Byott, Nigel P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Cofman, Judita, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Damour, Thibault, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Danzer, Ludwig, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb DeWitt-Morette, Cécile, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dyckhoff, Roy, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Erdahl, Robert M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Eschenburg, Jost-Hinrich, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Farnsteiner, Rolf, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Forster, Otto, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fritsch, Rudolf, editor. edt http://id.loc.gov/vocabulary/relators/edt Grauert, Hans, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gropp, Harald, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hashagen, Ulf, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hoell, Josef, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ivanova, Raina, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ivanšić, Ivan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jaworowski, Jan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Josephy, Michael, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kadeishvili, Tornike, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Karzel, Helmut, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kirilov Rusev, Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Knobloch, Eberhard, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Koch, Helmut, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kristiansen, Lill, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Leins, Markus, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lintz, Rubens G., editor. edt http://id.loc.gov/vocabulary/relators/edt Lyubashenko, Volodymyr, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MacDowell, Samuel W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mardešić, Sibe, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Martini, Horst, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Müller, Jürgen, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Neugebauer, Gernot, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nicolae, Florin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nollert, Hans-Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Normann, Dag, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Papadima, Stefan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pareigis, Bodo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pinto, Luis, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Priester, Wolfgang, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pumplün, Dieter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ribenboim, Paulo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rieth, Roland, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ruder, Hanns, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ryshkov, Sergej S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Röhrl, Helmut, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Safuanov, Ildar S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schauenburg, Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schneider, Manfred, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schwank, Inge, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schäfer, Gerhard, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Soffel, Michael, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stanilov, Grozio, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stolin, Alexander, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Talis, Alexandr, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Thiele, Rüdiger, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Treumann, Rudolf A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ullrich, Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Uspenskij, Vladimir Vladimirovich, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Videv, Veselin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wex, Norbert, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wußing, Hans, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Xu, Chongming, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb de Moura, Carlos A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 9783110637199 ZDB-23-GMA print 9783110144765 https://doi.org/10.1515/9783110886726 https://www.degruyter.com/isbn/9783110886726 Cover https://www.degruyter.com/document/cover/isbn/9783110886726/original |
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English |
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Albu, Toma, Albu, Toma, Arenas, Angela, Arenas, Angela, Behara, Minaketan, Behara, Minaketan, Berger, Ulrich, Berger, Ulrich, Bogoyavlenskij, Oleg I., Bogoyavlenskij, Oleg I., Boyadjiev, Lyubomir, Boyadjiev, Lyubomir, Byott, Nigel P., Byott, Nigel P., Cofman, Judita, Cofman, Judita, Damour, Thibault, Damour, Thibault, Danzer, Ludwig, Danzer, Ludwig, DeWitt-Morette, Cécile, DeWitt-Morette, Cécile, Dyckhoff, Roy, Dyckhoff, Roy, Erdahl, Robert M., Erdahl, Robert M., Eschenburg, Jost-Hinrich, Eschenburg, Jost-Hinrich, Farnsteiner, Rolf, Farnsteiner, Rolf, Forster, Otto, Forster, Otto, Fritsch, Rudolf, Fritsch, Rudolf, Grauert, Hans, Grauert, Hans, Gropp, Harald, Gropp, Harald, Hashagen, Ulf, Hashagen, Ulf, Hoell, Josef, Hoell, Josef, Ivanova, Raina, Ivanova, Raina, Ivanšić, Ivan, Ivanšić, Ivan, Jaworowski, Jan, Jaworowski, Jan, Josephy, Michael, Josephy, Michael, Kadeishvili, Tornike, Kadeishvili, Tornike, Karzel, Helmut, Karzel, Helmut, Kirilov Rusev, Peter, Kirilov Rusev, Peter, Knobloch, Eberhard, Knobloch, Eberhard, Koch, Helmut, Koch, Helmut, Kristiansen, Lill, Kristiansen, Lill, Leins, Markus, Leins, Markus, Lintz, Rubens G., Lintz, Rubens G., Lyubashenko, Volodymyr, Lyubashenko, Volodymyr, MacDowell, Samuel W., MacDowell, Samuel W., Mardešić, Sibe, Mardešić, Sibe, Martini, Horst, Martini, Horst, Müller, Jürgen, Müller, Jürgen, Neugebauer, Gernot, Neugebauer, Gernot, Nicolae, Florin, Nicolae, Florin, Nollert, Hans-Peter, Nollert, Hans-Peter, Normann, Dag, Normann, Dag, Papadima, Stefan, Papadima, Stefan, Pareigis, Bodo, Pareigis, Bodo, Pinto, Luis, Pinto, Luis, Priester, Wolfgang, Priester, Wolfgang, Pumplün, Dieter, Pumplün, Dieter, Ribenboim, Paulo, Ribenboim, Paulo, Rieth, Roland, Rieth, Roland, Ruder, Hanns, Ruder, Hanns, Ryshkov, Sergej S., Ryshkov, Sergej S., Röhrl, Helmut, Röhrl, Helmut, Safuanov, Ildar S., Safuanov, Ildar S., Schauenburg, Peter, Schauenburg, Peter, Schneider, Manfred, Schneider, Manfred, Schwank, Inge, Schwank, Inge, Schäfer, Gerhard, Schäfer, Gerhard, Soffel, Michael, Soffel, Michael, Stanilov, Grozio, Stanilov, Grozio, Stolin, Alexander, Stolin, Alexander, Talis, Alexandr, Talis, Alexandr, Thiele, Rüdiger, Thiele, Rüdiger, Treumann, Rudolf A., Treumann, Rudolf A., Ullrich, Peter, Ullrich, Peter, Uspenskij, Vladimir Vladimirovich, Uspenskij, Vladimir Vladimirovich, Videv, Veselin, Videv, Veselin, Wex, Norbert, Wex, Norbert, Wußing, Hans, Wußing, Hans, Xu, Chongming, Xu, Chongming, de Moura, Carlos A., de Moura, Carlos A., |
author_facet |
Albu, Toma, Albu, Toma, Arenas, Angela, Arenas, Angela, Behara, Minaketan, Behara, Minaketan, Berger, Ulrich, Berger, Ulrich, Bogoyavlenskij, Oleg I., Bogoyavlenskij, Oleg I., Boyadjiev, Lyubomir, Boyadjiev, Lyubomir, Byott, Nigel P., Byott, Nigel P., Cofman, Judita, Cofman, Judita, Damour, Thibault, Damour, Thibault, Danzer, Ludwig, Danzer, Ludwig, DeWitt-Morette, Cécile, DeWitt-Morette, Cécile, Dyckhoff, Roy, Dyckhoff, Roy, Erdahl, Robert M., Erdahl, Robert M., Eschenburg, Jost-Hinrich, Eschenburg, Jost-Hinrich, Farnsteiner, Rolf, Farnsteiner, Rolf, Forster, Otto, Forster, Otto, Fritsch, Rudolf, Fritsch, Rudolf, Grauert, Hans, Grauert, Hans, Gropp, Harald, Gropp, Harald, Hashagen, Ulf, Hashagen, Ulf, Hoell, Josef, Hoell, Josef, Ivanova, Raina, Ivanova, Raina, Ivanšić, Ivan, Ivanšić, Ivan, Jaworowski, Jan, Jaworowski, Jan, Josephy, Michael, Josephy, Michael, Kadeishvili, Tornike, Kadeishvili, Tornike, Karzel, Helmut, Karzel, Helmut, Kirilov Rusev, Peter, Kirilov Rusev, Peter, Knobloch, Eberhard, Knobloch, Eberhard, Koch, Helmut, Koch, Helmut, Kristiansen, Lill, Kristiansen, Lill, Leins, Markus, Leins, Markus, Lintz, Rubens G., Lintz, Rubens G., Lyubashenko, Volodymyr, Lyubashenko, Volodymyr, MacDowell, Samuel W., MacDowell, Samuel W., Mardešić, Sibe, Mardešić, Sibe, Martini, Horst, Martini, Horst, Müller, Jürgen, Müller, Jürgen, Neugebauer, Gernot, Neugebauer, Gernot, Nicolae, Florin, Nicolae, Florin, Nollert, Hans-Peter, Nollert, Hans-Peter, Normann, Dag, Normann, Dag, Papadima, Stefan, Papadima, Stefan, Pareigis, Bodo, Pareigis, Bodo, Pinto, Luis, Pinto, Luis, Priester, Wolfgang, Priester, Wolfgang, Pumplün, Dieter, Pumplün, Dieter, Ribenboim, Paulo, Ribenboim, Paulo, Rieth, Roland, Rieth, Roland, Ruder, Hanns, Ruder, Hanns, Ryshkov, Sergej S., Ryshkov, Sergej S., Röhrl, Helmut, Röhrl, Helmut, Safuanov, Ildar S., Safuanov, Ildar S., Schauenburg, Peter, Schauenburg, Peter, Schneider, Manfred, Schneider, Manfred, Schwank, Inge, Schwank, Inge, Schäfer, Gerhard, Schäfer, Gerhard, Soffel, Michael, Soffel, Michael, Stanilov, Grozio, Stanilov, Grozio, Stolin, Alexander, Stolin, Alexander, Talis, Alexandr, Talis, Alexandr, Thiele, Rüdiger, Thiele, Rüdiger, Treumann, Rudolf A., Treumann, Rudolf A., Ullrich, Peter, Ullrich, Peter, Uspenskij, Vladimir Vladimirovich, Uspenskij, Vladimir Vladimirovich, Videv, Veselin, Videv, Veselin, Wex, Norbert, Wex, Norbert, Wußing, Hans, Wußing, Hans, Xu, Chongming, Xu, Chongming, de Moura, Carlos A., de Moura, Carlos A., |
author2_variant |
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author_sort |
Albu, Toma, |
title |
Symposia Gaussiana : Proceedings of the 2nd Gauss Symposium, August 2-7, 1993, Munich. |
spellingShingle |
Symposia Gaussiana : Proceedings of the 2nd Gauss Symposium, August 2-7, 1993, Munich. De Gruyter Proceedings in Mathematics ; 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 |
title_sub |
Proceedings of the 2nd Gauss Symposium, August 2-7, 1993, Munich. |
title_full |
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. |
title_fullStr |
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. |
title_full_unstemmed |
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. |
title_auth |
Symposia Gaussiana : Proceedings of the 2nd Gauss Symposium, August 2-7, 1993, Munich. |
title_alt |
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 |
title_new |
Symposia Gaussiana : |
title_sort |
symposia gaussiana : proceedings of the 2nd gauss symposium, august 2-7, 1993, munich. mathematics and theoretical physics / |
series |
De Gruyter Proceedings in Mathematics ; |
series2 |
De Gruyter Proceedings in Mathematics ; |
publisher |
De Gruyter, |
publishDate |
2011 |
physical |
1 online resource (745 p.) Issued also in print. |
edition |
Reprint 2011 |
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 |
isbn |
9783110886726 9783110637199 9783110144765 |
callnumber-first |
Q - Science |
callnumber-subject |
QC - Physics |
callnumber-label |
QC19 |
callnumber-sort |
QC 219.2 _B G39 41993EB |
genre_facet |
Congresses. |
url |
https://doi.org/10.1515/9783110886726 https://www.degruyter.com/isbn/9783110886726 https://www.degruyter.com/document/cover/isbn/9783110886726/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
530 - Physics |
dewey-ones |
530 - Physics |
dewey-full |
530.1/5 |
dewey-sort |
3530.1 15 |
dewey-raw |
530.1/5 |
dewey-search |
530.1/5 |
doi_str_mv |
10.1515/9783110886726 |
oclc_num |
979849633 |
work_keys_str_mv |
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Mathematics and Theoretical Physics / |
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Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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Symposia Gaussiana : Proceedings of the 2nd Gauss Symposium, August 2-7, 1993, Munich. |
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Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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Part I -- </subfield><subfield code="t">Section 4: Geometry -- </subfield><subfield code="t">Necessary conditions for the existence of conservation laws for systems of partial differential equations -- </subfield><subfield code="t">A new decoration of the Socolar-Steinhardt tilings; an initial model for quasicrystals -- </subfield><subfield code="t">A skew-symmetric curvature operator in Riemannian geometry -- </subfield><subfield code="t">Development of non-Euclidean geometries since Gauß -- </subfield><subfield code="t">Recent results in elementary geometry, part II -- </subfield><subfield code="t">A curvature operator in Riemannian geometry -- </subfield><subfield code="t">Section 5: Analysis of Several Complex Variables -- </subfield><subfield code="t">The theorem of Gauß-Bonnet in complex analysis -- </subfield><subfield code="t">On the origins of p-adic analysis -- </subfield><subfield code="t">Section 7: Algebraic Topology -- </subfield><subfield code="t">Certain properties of minimal triangulations of spheres -- </subfield><subfield code="t">Stiefel-Whitney polynomials -- </subfield><subfield code="t">On spherically generated rational spaces -- </subfield><subfield code="t">Approximating spaces by polyhedra -- </subfield><subfield code="t">Finite determinacy phenomena for finitely presented groups -- </subfield><subfield code="t">Section 8: Quantum Groups and q-Deformation -- </subfield><subfield code="t">Modular properties of ribbon abelian categories -- </subfield><subfield code="t">Hopf-Galois extensions of graded algebras -- </subfield><subfield code="t">Section 9: Computational Physics -- </subfield><subfield code="t">Massive parallelism as the new track for scientific computing -- </subfield><subfield code="t">Section 10: Relativistic Celestial Mechanics: Astrophysics and Cosmology -- </subfield><subfield code="t">Relativistic celestial mechanics -- </subfield><subfield code="t">Timelike incompleteness of spacetimes -- </subfield><subfield code="t">The Lyman α forests and the universal bubble structure -- </subfield><subfield code="t">Nonradial oscillations of neutron stars: a new branch of strongly damped normal modes -- </subfield><subfield code="t">Testing Einstein's theory of gravity by lunar laser ranging -- </subfield><subfield code="t">The gravitational fields of rotating bodies as minimal surfaces -- </subfield><subfield code="t">The general relativistic two-body-problem. Theory and experiment -- </subfield><subfield code="t">The solution of the second post-Newtonian two-body problem -- </subfield><subfield code="t">Section 11: Gauß and Geomagnetism -- </subfield><subfield code="t">Magnetospheres: the external magnetic field -- </subfield><subfield code="t">Section 12: General -- </subfield><subfield code="t">An inequality for the Kummer confluent hypergeometric function -- </subfield><subfield code="t">Complete systems of Kummer and Weber-Hermite functions in spaces of holomorphic functions -- </subfield><subfield code="t">Epimorphisms of topological groups and Z-sets in the Hilbert cube -- </subfield><subfield code="t">Alphabetical List of Contributors -- </subfield><subfield code="t">Author Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jun 2022)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematical physics</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Albu, Toma, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Arenas, Angela, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Behara, 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