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Cover: 9783642070341 | Mathematical Survey Lectures 1943-2004 | Beno Eckmann | Taschenbuch
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Mathematical Survey Lectures 1943-2004
Taschenbuch von Beno Eckmann
Sprache: Englisch

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Beschreibung
In my long professional life as a mathematician I have had to deliver various survey lectures. They were of different character according to the occasion. A selected number are reproduced in this volume. They were, with few exceptions, printed in books or in periodicals, and are reproduced here without any modification. I started as a student at the ETH Zurich in 1935 and have spent my working Ufe there, with the exception of the period 1942-1948 (lecturer then associate professor at the University of Lausanne) and 1947 and 1951/52 (Institute for Advanced Study Princeton). In 1948 I was appointed as a professor at the ETH; I retired in 1984 and have since then been professor emeritus. The surveys in this volume are lectures given at congresses and workshops, at international congresses of mathematicians (plenary or section lectures), and at special occasions like birthdays or commemorations. They all reflect the special interests of the respective times. Although they are in fields of topology, algebra and differential geometry they reveal the big changes mathematics has undergone over the years from 1943 to 2004. New thinking has been developed; it has created new problems, or simply has let old problems appear in a new light.
In my long professional life as a mathematician I have had to deliver various survey lectures. They were of different character according to the occasion. A selected number are reproduced in this volume. They were, with few exceptions, printed in books or in periodicals, and are reproduced here without any modification. I started as a student at the ETH Zurich in 1935 and have spent my working Ufe there, with the exception of the period 1942-1948 (lecturer then associate professor at the University of Lausanne) and 1947 and 1951/52 (Institute for Advanced Study Princeton). In 1948 I was appointed as a professor at the ETH; I retired in 1984 and have since then been professor emeritus. The surveys in this volume are lectures given at congresses and workshops, at international congresses of mathematicians (plenary or section lectures), and at special occasions like birthdays or commemorations. They all reflect the special interests of the respective times. Although they are in fields of topology, algebra and differential geometry they reveal the big changes mathematics has undergone over the years from 1943 to 2004. New thinking has been developed; it has created new problems, or simply has let old problems appear in a new light.
Zusammenfassung
Traces the career of one of our most influential living mathematicians
Lectures offer a fascinating account of advances in pure mathematics from 1943 to 2004
Includes Eckmann's personal-historical overview of algebraic topology, at the 40-year jubilee of the Institute for Mathematical Research, which he founded in 1964
Inhaltsverzeichnis
L¿idée de dimension (1943).- Topology and Algebra (1943).- Complex-analytic manifolds (1950).- Homotopie et dualité (1956).- Groupes d¿homotopie et dualité (1958).- Homotopy and Cohomology Theory (1962).- Simple Homotopy Type and Categories of Fractions (1970).- Some Recent Developments in the Homology Theory of Groups (1980).- Poincaré Duality Groups of Dimension 2 are Surface Groups (1986).- Continuous Solutions of Linear Equations (1991).- Mathematics: Questions and Answers (1994).- Hurwitz-Radon Matrices Revisited (1994).- Birth of Fibre Spaces, and Homotopy (1996).- 4-Manifolds, Group Invariants, and l2-Betti Numbers (1997).- The Euler characteristic ¿ some Highlights in its History.- Topology, Algebra, Analysis ¿ Relations and Missing Links (1999).- Introduction to Hilbert Space Methods in Topology (2000).- Die Zukunft der Mathematik (Hilbert 1900) (2000).- A.N. Kolmogorov (2003).- Is Algebraic Topology a Respectable Field? (2004).- Social Choice and Topology (2004).
Details
Erscheinungsjahr: 2010
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: ix
266 S.
ISBN-13: 9783642070341
ISBN-10: 3642070345
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Eckmann, Beno
Auflage: Softcover reprint of hardcover 1st ed. 2006
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Maße: 235 x 155 x 16 mm
Von/Mit: Beno Eckmann
Erscheinungsdatum: 14.10.2010
Gewicht: 0,423 kg
Artikel-ID: 107175441
Zusammenfassung
Traces the career of one of our most influential living mathematicians
Lectures offer a fascinating account of advances in pure mathematics from 1943 to 2004
Includes Eckmann's personal-historical overview of algebraic topology, at the 40-year jubilee of the Institute for Mathematical Research, which he founded in 1964
Inhaltsverzeichnis
L¿idée de dimension (1943).- Topology and Algebra (1943).- Complex-analytic manifolds (1950).- Homotopie et dualité (1956).- Groupes d¿homotopie et dualité (1958).- Homotopy and Cohomology Theory (1962).- Simple Homotopy Type and Categories of Fractions (1970).- Some Recent Developments in the Homology Theory of Groups (1980).- Poincaré Duality Groups of Dimension 2 are Surface Groups (1986).- Continuous Solutions of Linear Equations (1991).- Mathematics: Questions and Answers (1994).- Hurwitz-Radon Matrices Revisited (1994).- Birth of Fibre Spaces, and Homotopy (1996).- 4-Manifolds, Group Invariants, and l2-Betti Numbers (1997).- The Euler characteristic ¿ some Highlights in its History.- Topology, Algebra, Analysis ¿ Relations and Missing Links (1999).- Introduction to Hilbert Space Methods in Topology (2000).- Die Zukunft der Mathematik (Hilbert 1900) (2000).- A.N. Kolmogorov (2003).- Is Algebraic Topology a Respectable Field? (2004).- Social Choice and Topology (2004).
Details
Erscheinungsjahr: 2010
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: ix
266 S.
ISBN-13: 9783642070341
ISBN-10: 3642070345
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Eckmann, Beno
Auflage: Softcover reprint of hardcover 1st ed. 2006
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Maße: 235 x 155 x 16 mm
Von/Mit: Beno Eckmann
Erscheinungsdatum: 14.10.2010
Gewicht: 0,423 kg
Artikel-ID: 107175441
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