Metric Structures for Riemannian and Non-Riemannian Spaces (Modern Birkh?user Classics)
Mikhail Gromov
ISBN 10: 0817645829 ISBN 13: 9780817645823
Editorial: Birkh?user, 2006
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Descripción:
This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect recent progress. Editor(s): Lafontaine, Jacques; Pansu, Pierre. Translator(s): Bates, S.M. Series: Modern Birkhauser Classics. Num Pages: 612 pages, 100 black & white illustrations, biography. BIC Classification: PBMP; PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 233 x 159 x 35. Weight in Grams: 906. . 2006. 1st ed. 1999. Corr. 2nd printing 2001. 3rd printin. Paperback. . . . . N° de ref. del artículo V9780817645823
Sinopsis:
This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices, by Gromov on Levy’s inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as an extensive bibliography and index round out this unique and beautiful book.
Acerca del autor: Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.
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Detalles bibliográficos
Título: Metric Structures for Riemannian and ...
Editorial: Birkh?user
Año de publicación: 2006
Encuadernación: Encuadernación de tapa blanda
Condición: New
Edición: 1ª Edición
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Metric Structures for Riemannian and Non-Riemannian Spaces
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ISBN 10: 0817645829
ISBN 13: 9780817645823
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Metric Structures For Riemannian and Non-Riemannian Spaces
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Metric Structures for Riemannian and Non-Riemannian Spaces
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ISBN 10: 0817645829
ISBN 13: 9780817645823
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book is an English translation of the famous Green Book by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices, by Gromov on Levy s inequality, by Pansu on qua. Nº de ref. del artículo: 5975852
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Metric Structures for Riemannian and Non-Riemannian Spaces
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Taschenbuch. Condición: Neu. Metric Structures for Riemannian and Non-Riemannian Spaces | Mikhail Gromov | Taschenbuch | xx | Englisch | 2006 | Birkhäuser | EAN 9780817645823 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Nº de ref. del artículo: 102120918
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Metric Structures for Riemannian and Non-Riemannian Spaces (Modern Birkhäuser Classics)
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Metric Structures for Riemannian and Non-Riemannian Spaces (Modern Birkhäuser Classics)
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Metric Structures for Riemannian and Non-Riemannian Spaces
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ISBN 10: 0817645829
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Taschenbuch. Condición: Neu. Neuware -Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory.The new wave began with seminal papers by Svarc and Milnor on the growth of groups and the spectacular proof of the rigidity of lattices by Mostow. This progress was followed by the creation of the asymptotic metric theory of infinite groups by Gromov.The structural metric approach to the Riemannian category, tracing back to Cheeger's thesis, pivots around the notion of the Gromov¿Hausdorff distance between Riemannian manifolds. This distance organizes Riemannian manifolds of all possible topological types into a single connected moduli space, where convergence allows the collapse of dimension with unexpectedly rich geometry, as revealed in the work of Cheeger, Fukaya, Gromov and Perelman. Also, Gromov found metric structure within homotopy theory and thus introduced new invariants controlling combinatorial complexity of maps and spaces, such as the simplicial volume, which is responsible for degrees of maps between manifolds. During the same period, Banach spaces and probability theory underwent a geometric metamorphosis, stimulated by the Levy¿Milman concentration phenomenon, encompassing the law of large numbers for metric spaces with measures and dimensions going to infinity.The first stages of the new developments were presented in Gromov's course in Paris, which turned into the famous 'Green Book' by Lafontaine and Pansu (1979). The present English translation of that work has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices ¿ by Gromov on Levy's inequality, by Pansu on 'quasiconvex' domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures ¿ as well as an extensive bibliographyand index round out this unique and beautiful book.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 608 pp. Englisch. Nº de ref. del artículo: 9780817645823
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Metric Structures for Riemannian and Non-Riemannian Spaces
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ISBN 10: 0817645829
ISBN 13: 9780817645823
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory.The new wave began with seminal papers by Svarc and Milnor on the growth of groups and the spectacular proof of the rigidity of lattices by Mostow. This progress was followed by the creation of the asymptotic metric theory of infinite groups by Gromov.The structural metric approach to the Riemannian category, tracing back to Cheeger's thesis, pivots around the notion of the Gromov-Hausdorff distance between Riemannian manifolds. This distance organizes Riemannian manifolds of all possible topological types into a single connected moduli space, where convergence allows the collapse of dimension with unexpectedly rich geometry, as revealed in the work of Cheeger, Fukaya, Gromov and Perelman. Also, Gromov found metric structure within homotopy theory and thus introduced new invariants controlling combinatorial complexity of maps and spaces, such as the simplicial volume, which is responsible for degrees of maps between manifolds. During the same period, Banach spaces and probability theory underwent a geometric metamorphosis, stimulated by the Levy-Milman concentration phenomenon, encompassing the law of large numbers for metric spaces with measures and dimensions going to infinity.The first stages of the new developments were presented in Gromov's course in Paris, which turned into the famous 'Green Book' by Lafontaine and Pansu (1979). The present English translation of that work has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices - by Gromov on Levy's inequality, by Pansu on 'quasiconvex' domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures - as well as an extensive bibliographyand index round out this unique and beautiful book. 608 pp. Englisch. Nº de ref. del artículo: 9780817645823
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory.The new wave began with seminal papers by Svarc and Milnor on the growth of groups and the spectacular proof of the rigidity of lattices by Mostow. This progress was followed by the creation of the asymptotic metric theory of infinite groups by Gromov.The structural metric approach to the Riemannian category, tracing back to Cheeger's thesis, pivots around the notion of the Gromov-Hausdorff distance between Riemannian manifolds. This distance organizes Riemannian manifolds of all possible topological types into a single connected moduli space, where convergence allows the collapse of dimension with unexpectedly rich geometry, as revealed in the work of Cheeger, Fukaya, Gromov and Perelman. Also, Gromov found metric structure within homotopy theory and thus introduced new invariants controlling combinatorial complexity of maps and spaces, such as the simplicial volume, which is responsible for degrees of maps between manifolds. During the same period, Banach spaces and probability theory underwent a geometric metamorphosis, stimulated by the Levy-Milman concentration phenomenon, encompassing the law of large numbers for metric spaces with measures and dimensions going to infinity.The first stages of the new developments were presented in Gromov's course in Paris, which turned into the famous 'Green Book' by Lafontaine and Pansu (1979). The present English translation of that work has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices - by Gromov on Levy's inequality, by Pansu on 'quasiconvex' domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures - as well as an extensive bibliographyand index round out this unique and beautiful book. Nº de ref. del artículo: 9780817645823
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Metric Structures for Riemannian and Non-Riemannian Spaces
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ISBN 10: 0817645829
ISBN 13: 9780817645823
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