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Boris A. Dubrovin, Sergej P. Novikov, Anatolij T. Fomenko
GEOMETRIA CONTEMPORANEA 1: GEOMETRIA DELLE SUPERFICI DEI GRUPPI DI TRASFORMAZIONI E DEI CAMPI
EDITORI RIUNITI, 1999
23.39 €
Studio Maglione Maria Luisa
(Napoli, Italy)
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Details
Description
Dettagli del libro italiano
Titolo: Geometria contemporanea Volume 1: Geometria delle superfici dei gruppi di trasformazioni e dei campi
Titolo originale: Sobremennaja geometrija. Metody i prilozenija
Autori: Boris A. Dubrovin, Sergej P. Novikov, Anatolij T. Fomenko
Traduzione di: Vitalij Panasenko
Editore: Roma: Editori Riuniti; Mosca: MIR
Collana: Biblioteca di Scienze
Edizione: 2
Data di Pubblicazione: Luglio 1999
ISBN: 8835947065
ISBN-13: 9788835947066
Lunghezza: 426 pagine; 23 cm
Soggetti: Matematica, Geometria analitica, Manuali, Gruppi, Mir, Scienze matematiche, Problemi, Esercizi, Analisi, Teorie, Analisi, Superficie algebrica, Trasformazioni, Università, Scienziati russi, Scuola russa, Teoremi, Equazioni, Campi, Fisica Applicata, Relatività, Modern Geometry, Methods and Applications, Homology Theory, Riemann, Surface, Riemannian, Metric, Hence, Formule, Morse, Zero, Corollari, Comologi, Polinomi, Libri scolastici, Vintage, Fuori catalogo, Testi classici, Moderna, Calcolo, Mathematics, Analytical Geometry, Manuals, Groups, Mir, Mathematical Sciences, Problems, Exercises, Analysis, Theories, Analysis, Algebraic Surface, Transformations, University, Russian Scientists, Russian School, Theorems, Equations, Fields, Applied Physics, Relativity, Modern Geometry, Methods and Applications, Homology Theory, Riemann, Surface, Riemannian, Metric, Hence, Formula, School books, Out of print Books, Classical texts, Calculation
INDICE SINTETICO
Prefazione
Prima parte: Geometria in un dominio dello spazio. Nozioni fondamentali
Seconda parte: Teoria delle superfici
Terza parte: Tensori. Teoria algebrica
Quarta parte: Calcolo differenziale sui tensori
Quinta parte: Elementi di calcolo delle variazioni
Sesta parte: Problemi del calcolo delle variazioni in più dimensioni. Campi e loro invarianti geometrici
Bibliografia
Indice analitico
Parole e frasi comuni
2-dimensional abelian group algebra analogous appropriate arbitrary bordism boundary operator cell complex cell decomposition closed manifold co-ordinates cochain coefficients cohomology compact completes the proof compute conjugate consider Corollary corresponding critical points cycle defined definition denote determined diffeomorphic differential dimension disc element embedding equation exact sequence Exercise fact fibre bundle Figure finite follows formula function f geodesic arc given group G Hence Hk(X homology groups theory homomorphism homotopically equivalent homotopy class homotopy type identified induced integral intersection invariant isomorphism Jacobi field Lemma level surface Lie group linear map f minimal Morse function multiplication neighbourhood non-degenerate non-trivial non-zero obtain orientable pair path polynomial problem Proposition Riemann surface Riemannian metric satisfying simplex simplicial complex simply-connected singular smooth function smooth manifold SO(n sphere subgroup submanifold subspace tensor topological torus triangulation trivial vector bundle vector field vector space verify whence zero