Mathematical Survey Lectures 1943-2004

This collection traces the career of Beno Eckmann, whose work ranges across a broad spectrum of mathematical concepts from topology and differential geometry through homological algebra to group theory. One of our most influential living mathematicians, Eckmann has been associated for nearly his ent...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Eckmann, Beno (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Temas:
Algebraic topology.
Geometry, Differential.
Associative rings.
Associative algebras.
Group theory.
Algebraic Topology.
Differential Geometry.
Associative Rings and Algebras.
Group Theory and Generalizations.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Mathematical Survey Lectures 1943-2004  |h [electronic resource] /  |c by Beno Eckmann. 
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300 |a IX, 266 p.  |b online resource. 
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505 0 |a L'idée de dimension -- Topologie und Algebra -- Complex-analytic manifolds -- Homotopie et dualité -- Groupes d'homotopie et dualité -- Homotopy and cohomology theory -- Simple homotopy type and categories of fractions -- Some recent developments in the homology theory of groups -- Poincaré duality groups of dimension two are surface groups -- Continuous solutions of linear equations - An old problem, its history, and its solution -- Mathematics: Questions and Answers -- Hurwitz-Radon matrices revisited: From effective solution of the Hurwitz matrix equations to Bott periodicity -- Birth of fibre spaces, and homotopy -- 4-Manifolds, group invariants, and ? 2-Betti numbers -- The Euler characteristic - a few highlights in its long history -- Topology, algebra, analysis - relations and missing links -- to ?2-methods in topology: Reduced ?2-homology, harmonic chains, ?2-Betti numbers -- Die Zukunft der Mathematik Ein Rückblick auf Hilberts programmatischen Vortrag vor 100 Jahren -- Kolmogorov and contemporary mathematics -- Is algebraic topology a respectable field? -- Social choice and topology. A case of pure and applied mathematics. 
520 |a This collection traces the career of Beno Eckmann, whose work ranges across a broad spectrum of mathematical concepts from topology and differential geometry through homological algebra to group theory. One of our most influential living mathematicians, Eckmann has been associated for nearly his entire professional life with the Swiss Federal Institute of Technology Zurich (ETH), as student, lecturer, professor, and professor emeritus. The lectures offer a fascinating account of advances in pure mathematics from 1943 to 2004, as new topics and methods are introduced, and gradually become routine. The penultimate lecture is a personal-historical overview of algebraic topology, delivered in connection with the 40-year jubilee of the Institute for Mathematical Research (FIM), which Eckmann founded at ETH in 1964. In the final article, Eckmann looks beyond pure mathematics to consider the application in concrete fields of intellectual enterprise. 
650 0 |a Algebraic topology. 
650 0 |a Geometry, Differential. 
650 0 |a Associative rings. 
650 0 |a Associative algebras. 
650 0 |a Group theory. 
650 1 4 |a Algebraic Topology. 
650 2 4 |a Differential Geometry. 
650 2 4 |a Associative Rings and Algebras. 
650 2 4 |a Group Theory and Generalizations. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783642070341 
776 0 8 |i Printed edition:  |z 9783540823216 
776 0 8 |i Printed edition:  |z 9783540337904 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-540-33791-1  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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