The Riemann Legacy: Riemannian Ideas in Mathematics and Physics (Mathematics and Its Applications, 417, Band 417) - encadernado, livro de bolso
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The Riemann Legacy: Riemannian Ideas in Mathematics and Physics (Mathematics and Its Applications, 417, Band 417) - encadernado, livro de bolso
1997, ISBN: 9780792346364
Springer, Gebundene Ausgabe, Auflage: 1997, 741 Seiten, Publiziert: 1997-07-31T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 4901408, 5.91 kg, Algebra & Zahlentheorie, Naturwissenschaft… mais…
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1997, ISBN: 079234636X
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1997, ISBN: 079234636X
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The Riemann Legacy: Riemannian Ideas in Mathematics and Physics (Mathematics and Its Applications) by Maurin, Krzysztof [Hardcover ] - encadernado, livro de bolso
1997, ISBN: 079234636X
[EAN: 9780792346364], Nouveau livre, [SC: 5.63], [PU: Springer], Books
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The Riemann Legacy: Riemannian Ideas in Mathematics and Physics (Mathematics and Its Applications, 417, Band 417) - encadernado, livro de bolso
1997, ISBN: 9780792346364
Springer, Gebundene Ausgabe, Auflage: 1997, 741 Seiten, Publiziert: 1997-07-31T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 4901408, 2.68 kg, Algebra & Zahlentheorie, Naturwissenschaft… mais…
Maurin, Krzysztof:
The Riemann Legacy: Riemannian Ideas in Mathematics and Physics (Mathematics and Its Applications, 417, Band 417) - encadernado, livro de bolso1997, ISBN: 9780792346364
Springer, Gebundene Ausgabe, Auflage: 1997, 741 Seiten, Publiziert: 1997-07-31T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 4901408, 5.91 kg, Algebra & Zahlentheorie, Naturwissenschaft… mais…
1997
ISBN: 079234636X
1997 Gebundene Ausgabe Algebra, Analysis, Calculus, Geometrie, Raumlehre, Mathematik, Mathematische Analysis, allgemein, Angewandte Mathematik, Mathematica; Riemannsurface; Volume; Alge… mais…
1997, ISBN: 079234636X
1997 Gebundene Ausgabe Algebra, Analysis, Calculus, Geometrie, Raumlehre, Mathematik, Mathematische Analysis, allgemein, Angewandte Mathematik, Mathematica; Riemann surface; Volume; Alg… mais…
The Riemann Legacy: Riemannian Ideas in Mathematics and Physics (Mathematics and Its Applications) by Maurin, Krzysztof [Hardcover ] - encadernado, livro de bolso
1997, ISBN: 079234636X
[EAN: 9780792346364], Nouveau livre, [SC: 5.63], [PU: Springer], Books
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Dados detalhados do livro - The Riemann Legacy: Riemannian Ideas in Mathematics and Physics (Mathematics and Its Applications, 417, Band 417)
EAN (ISBN-13): 9780792346364
ISBN (ISBN-10): 079234636X
Livro de capa dura
Livro de bolso
Ano de publicação: 2007
Editor/Editora: Springer
740 Páginas
Peso: 1,257 kg
Língua: eng/Englisch
Livro na base de dados desde 2007-10-19T15:34:02+01:00 (Lisbon)
Página de detalhes modificada pela última vez em 2024-04-20T14:46:12+01:00 (Lisbon)
Número ISBN/EAN: 9780792346364
Número ISBN - Ortografia alternativa:
0-7923-4636-X, 978-0-7923-4636-4
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: maurin krzysztof
Título do livro: physics without mathematics, the riemann legacy
Dados da editora
Autor: Krzysztof Maurin
Título: Mathematics and Its Applications; The Riemann Legacy - Riemannian Ideas in Mathematics and Physics
Editora: Springer; Springer Netherland
719 Páginas
Ano de publicação: 1997-07-31
Dordrecht; NL
Língua: Inglês
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XXII, 719 p. 3 illus.
BB; Hardcover, Softcover / Mathematik/Sonstiges; Angewandte Mathematik; Verstehen; Mathematica; Riemann surface; Volume; algebra; complex geometry; energy; fields; geometry; mathematics; number theory; physics; topology; Applications of Mathematics; Algebra; Geometry; Analysis; Algebra; Geometrie; Mathematische Analysis, allgemein; BC
I Riemannian Ideas in Mathematics and Physics.- 1 Gauss Inner Curvature of Surfaces.- 2 Sectional Curvature. Spaces of Constant Curvature. Weyl Hypothesis.- 3 Cohomology of Riemann spaces. Theorems of de Rham, Hodge, Kodaira.- 4 Chern—Gauss—Bonnet theorem.- 5 Curvature and Topology or Characteristic Forms of Chern, Pontriagin, and Euler.- 6 Kähler Spaces. Bergman Metrics. Harish-Chandra-Cartan Theorem. Siegel Space (once again!).- II General Structures of Mathematics.- 1 Differentiable Structures. Tangent Spaces. Vector Fields.- 2 Projective (Inverse) Limits of Topological Spaces.- 3 Inductive Limits. Presheaves. Covering Defined by Presheaf.- 4 Algebras. Groups, Tensors, Clifford, Grassmann, and Lie Algebras. Theorems of Bott—Milnor, Wedderburn, and Hurwitz.- 5 Fields and their Extensions.- 6 Galois Theory. Solvable Groups.- 7 Ruler and Compass Constructions. Cyclotomic Fields. Kronecker—Weber Theorem.- 8 Algebraic and Transcendental Elements.- 9 Weyl principle.- 10 Topology of Compact Lie Groups.- 11 Representations of Compact Lie Groups.- 12 Nilpotent, Semimple, and Solvable Lie Algebras.- 13 Reflections, Roots, and Weights. Coxeter and Weyl groups.- 14 Covariant Differentiation. Parallel Transport. Connections.- 15 Remarks on Rich Mathematical Structures of Simple Notions of Physics Based on Example of Analytical Mechanics.- 16 Tangent Bundle TM. Vector, Fiber, Tensor and Tensor Densities, and Associate Bundles.- 17 G-spaces. Group Representations.- 18 Principal and Associated Bundles.- 19 Induced Representations and Associated Bundles.- 20 Vector Bundles and Locally Free Sheaves.- 21 Axiom of Covering Homotopy.- 22 Serre Fibering. General Theory of Connection. Corollaries.- 23 Homology. Cohomology. de Rham Cohomology.- 24 Cohomology of Sheaves. Abstract deRham Theorem.- 25 Homotopy Group ?k(X, x0). Hopf Fibering. Serre Theorem on Exact Sequence of Homotopy Groups of a Fibering.- 26 Various Benefits of Characteristic Classes (Orientability, Spin Structures). Clifford Groups, Spin Group.- 27 Divisors and Line Bundles. Algebraic and Abelian Varieties.- 28 General Abelian Varieties and Theta Function.- 29 Theorems on Algebraic Dependence.- III The Idea of the Riemann Surface.- IV Riemann and Calculus of Variations.- 1 Introduction.- 2 The Plateau Problem.- 3 Teichmüller Theory. Riemann Moduli Problem.- 4 Riemannian Approach to Teichmiiller Theory. Harmonic Maps and Teichmüller Space.- 5 Teichmüller theory and Plateau—Douglas problem.- 6 Rescuing Riemann’s Dirichlet Principle. Potential Theory.- 7 The Royal Road to Calculus of Variations (Constantin Carathéodory).- 8 Symplectic and Contact Geometries. Conservation Laws.- 9 Direct Methods in Calculus of Variations for Manifolds with Isometries. Equivariant Sobolev Theorems. Yamabe Problem and its Relation to General Relativity.- V Riemann and Complex Geometry.- 1 Introduction.- 2 On Complex Analysis in Several Variables.- 3 Ellipticity, Runge Property, and Runge Type Theorems.- 4 Hörmander Method in Complex Analysis.- 5 Wirtinger Theorems. Metric Theory of Analytic Sets.- 6 The Problem of Poincaré and the Cousin Problems.- 7 Ringed Spaces and General Complex Spaces.- 8 Construction of Complex Spaces by Gluing and by Taking Quotient.- 9 Differential Geometry of Holomorphic Vector Bundles over Compact Riemann Surfaces and Kähler manifolds. Stable Vector Bundles, Hermite-Einstein Connections, and their Moduli Spaces.- VI Riemann and Number Theory.- 1 Introduction.- 2 The Riemann ? function.- 3 Hecke Theory.- 4 Dedekind ?K function for number field K and Selberg ?function.- Concluding Remarks.- Suggestions for Further Reading.Outros livros adicionais, que poderiam ser muito similares com este livro:
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