International Symposium on Systems Optimization and Analysis (Lecture Notes in Control & Information Sciences) - Taschenbuch

EAN (ISBN-13): 9780387094472
ISBN (ISBN-10): 0387094474
Taschenbuch
Erscheinungsjahr: 1979
Herausgeber: Springer US

Buch in der Datenbank seit 2007-04-26T16:33:45+02:00 (Vienna)
Detailseite zuletzt geändert am 2023-07-06T20:42:37+02:00 (Vienna)
ISBN/EAN: 0387094474

ISBN - alternative Schreibweisen:
0-387-09447-4, 978-0-387-09447-2
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: alain bensoussan jacques louis lions, lion
Titel des Buches: international symposium systems optimization and analysis lecture notes control and, information and control

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Daten vom Verlag:

Autor/in: Helge Glöckner; Karl-Hermann Neeb
Titel: Graduate Texts in Mathematics; Infinite-dimensional Lie Groups. General Theory and Main Examples
Verlag: Springer US
350 Seiten
Erscheinungsjahr: 2017-11-07
New York; NY; US
Sprache: Englisch
Available

EA; E107; Nonbooks, PBS / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Research; BB

Preface.- Introduction.- Infinite-dimensional Calculus.- Infinite-dimensional Manifolds.- Lie Groups.- Locally Exponential Lie Groups.- Linear Lie Groups.- Direct Limits of Lie Groups.- Groups of Maps.- Groups of Diffeomorphisms.- Appendix A: Tools from Topology.- Appendix B: Basic Theory of Locally Convex Spaces.- Appendix C: Finite-dimensional Lie Algebras.- Appendix D: Calculus in Banach Spaces.- Appendix E: Smooth Maps into non-Lie Groups.- Appendix F: Cohomology of Lie Algebras.- Bibliography.- Index.
Infinite-dimensional Lie Groups: General Theory and Main Examples provides a comprehensive introduction to this important subject, examining the structure theory of infinite-dimensional Lie groups by developing a broad framework of Lie theory and illustrating the general results through a detailed discussion of the major classes of Lie groups. Together with its companion volume subtitled, Geometry and Topology, these essentially self-contained texts provide all necessary background as regards generally locally convex spaces, finite-dimensional Lie theory and differential geometry, with modest prerequisites limited to a basic knowledge of abstract algebra, point set topology, differentiable manifolds, and functional analysis in Banach spaces. The clear exposition includes careful explanations, illustrative examples, numerous exercises, and detailed cross-references to simplify a non-linear reading of the material.