Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (Dover Books on Mathematics)

David Gurarie

ISBN 10: 0486462889 / ISBN 13: 9780486462882

Verlag: Dover Publications Inc. 2009-01-01, 2009

Beschreibung

Bestandsnummer des Verkäufers 6666-ING-9780486462882

Bibliografische Details

• Titel: Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (Dover Books on Mathematics)
• Verlag: Dover Publications Inc. 2009-01-01
• Erscheinungsjahr: 2009
• Sprache: Englisch
• ISBN-10: 0486462889
• ISBN-13: 9780486462882
• Einband: Paperback
• Zustand: New

Über diesen Titel

Inhaltsangabe

Designed as an introduction to harmonic analysis and group representations, this book examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory, covering a wide range of topics rather than delving deeply into any particular area.
Author David Gurarie, a Professor of Mathematics at Case Western Reserve University, focuses on discrete or continuous geometrical objects and structures, such as regular graphs, lattices, and symmetric Riemannian manifolds. Starting with the basics of representation theory, Professor Gurarie discusses commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. Among numerous applications included are integrable hamiltonian systems, geodesic flows on symmetric spaces, and the spectral theory of the Hydrogen atom (Schrodinger operator with Coulomb potential) explicated by its Runge-Lenz symmetry. Three helpful appendixes include supplemental information, and the text concludes with references, a list of frequently used notations, and an index.

Über die Autorin bzw. den 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.