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Traces in Number Theory, Geometry and Quantum Fields (Aspects of Mathematics) - Softcover

 
9783834826770: Traces in Number Theory, Geometry and Quantum Fields (Aspects of Mathematics)

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Inhaltsangabe

Traces and determinants arise in various guises in many areas of mathematics and mathematical physics: in regularization procedures in quantum fields theory, in the definition of correlation functions and partition functions, in index theory for manifolds and for noncommutative spaces, and in the study of dynamical systems, through zeta functions and zeta determinants, as well as in number theory in the study of zeta and L-functions. This volumes shows, through a series of concrete example, specific results as well as broad overviews, how similar methods based on traces and determinants arise in different perspectives in the fields of number theory, dynamical systems, noncommutative geometry, differential geometry and quantum field theory.

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Über die Autorin bzw. den Autor

Prof. Sergio Albeverio, Department of Probability Theory and Mathematical Statistics, University Bonn, Germany
Prof. Matilde Marcolli, Max-Planck-Institute for Mathematics, Bonn, Germany
Prof. Sylvie Paycha, Laboratoire de Mathematiques, Université Blaise Pascal, France
Prof. Jorge Plazas, Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France

Von der hinteren Coverseite

Traces and determinants arise in various guises in many areas of mathematics and mathematical physics: in regularization procedures in quantum fields theory, in the definition of correlation functions and partition functions, in index theory for manifolds and for noncommutative spaces, and in the study of dynamical systems, through zeta functions and zeta determinants, as well as in number theory in the study of zeta and L-functions. This volumes shows, through a series of concrete example, specific results as well as broad overviews, how similar methods based on traces and determinants arise in different perspectives in the fields of number theory, dynamical systems, noncommutative geometry, differential geometry and quantum field theory.

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Weitere beliebte Ausgaben desselben Titels

9783834803719: Traces in Number Theory, Geometry and Quantum Fields: 38 (Aspects of Mathematics)

Vorgestellte Ausgabe

ISBN 10:  3834803715 ISBN 13:  9783834803719
Verlag: Vieweg+Teubner Verlag, 2007
Hardcover