New PDF release: Matrizen und Lie-Gruppen: Eine geometrische Einfuhrung

By Wolfgang Kühnel

ISBN-10: 3834813656

ISBN-13: 9783834813657

Dies ist eine Einführung in die mathematische Theorie der Lie-Gruppen. Etwa die erste Hälfte des Buches handelt von Matrizengruppen. Abstrakte Konzepte (auch Mannigfaltigkeiten) werden erst in der zweiten Hälfte vorgestellt. Zur Motivation und zum besseren historischen Verständnis sind kurze Texte klassischer Autoren (wie Sophus Lie selbst) mit eingeflochten. Außerdem gibt es zur Anschaulichkeit ein eigenes Kapitel, das ausschließlich von diversen geometrischen Transformationsgruppen handelt. Dabei wird konkret auf die klassischen Geometrien eingegangen.
Als Vorkenntnisse werden nur die üblichen Studieninhalte des ersten Jahres im Mathematik- oder Physik-Studium vorausgesetzt, soweit sie die research und die Lineare Algebra betreffen. Das Buch beginnt damit auf sehr elementarem Niveau. Alles andere wird nicht nur eingeführt, sondern alle Sätze werden auch bewiesen. Auf Verständlichkeit wird großen Wert gelegt. Daher eignet sich das Buch insbesondere als Begleittext zu Lehrveranstaltungen (auch Proseminaren) in den Bachelor-Studiengängen, aber auch im Lehramtsstudium und zum Selbststudium.
Das Buch enthält zahlreiche Übungsaufgaben mit Lösungshinweisen oder vollständiger Lösung.

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Sur la Structure des groupes de transformations finis et - download pdf or read online

By Élie Cartan

It is a replica of a booklet released sooner than 1923. This publication could have occasional imperfections resembling lacking or blurred pages, negative photographs, errant marks, and so on. that have been both a part of the unique artifact, or have been brought through the scanning approach. We think this paintings is culturally vital, and regardless of the imperfections, have elected to carry it again into print as a part of our carrying on with dedication to the maintenance of published works world wide. We have fun with your figuring out of the imperfections within the protection technique, and desire you get pleasure from this necessary booklet.

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Download e-book for iPad: Equivalence, invariants, and symmetry by Peter J. Olver

By Peter J. Olver

ISBN-10: 0521478111

ISBN-13: 9780521478113

This booklet provides an leading edge synthesis of equipment used to check the issues of equivalence and symmetry that come up in various mathematical fields and actual purposes. It attracts on a variety of disciplines, together with geometry, research, utilized arithmetic, and algebra. Dr. Olver develops systematic and optimistic equipment for fixing equivalence difficulties and calculating symmetries, and applies them to a number of mathematical structures, together with differential equations, variational difficulties, manifolds, Riemannian metrics, polynomials, and differential operators. He emphasizes the development and class of invariants and discounts of advanced items to basic canonical kinds. This ebook may be a helpful source for college students and researchers in geometry, research, algebra, mathematical physics and comparable fields.

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Download PDF by Marius Tucsnak: Observation and Control for Operator Semigroups (Birkhauser

By Marius Tucsnak

ISBN-10: 3764389931

ISBN-13: 9783764389932

This booklet experiences commentary and regulate operators for linear platforms the place the unfastened evolution of the kingdom will be defined through an operator semigroup on a Hilbert area. The emphasis is on well-posedness, observability and controllability houses. The summary effects are supported via a number of examples coming in most cases from partial differential equations. those examples are labored out intimately. This publication is intended to be an straight forward creation during this thought. the 1st that means of "elementary'' is that the textual content is aimed to be obtainable to any reader accustomed to linear algebra, calculus, the fundamentals of Hilbert areas and differential equations. We introduce every little thing wanted on operator semigroups and lots of the historical past used is summarized within the Appendices, usually with proofs. the second one which means of "elementary'' is that we in basic terms conceal effects for which we will supply whole proofs. In our bibliographic reviews we point out a few of the extra complex effects, for instance these in response to microlocal research.

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