Lineare Algebra: Einführung, Grundlagen, Übungen (German by Howard Anton

By Howard Anton

In Ihrer Hand liegt ein Lehrbuch - in sieben englischsprachigen Ausgaben praktisch erprobt - das Sie mit großem didaktischen Geschick, zudem angereichert mit zahlreichen Übungsaufgaben, in die Grundlagen der linearen Algebra einführt. Kenntnisse der research werden für das Verständnis nicht generell vorausgesetzt, sind jedoch für einige besonders gekennzeichnete Beispiele nötig. Pädagogisch erfahren, behandelt der Autor grundlegende Beweise im laufenden textual content; für den interessierten Leser jedoch unverzichtbare Beweise finden sich am Ende der entsprechenden Kapitel. Ein weiterer Vorzug des Buches: Die Darstellung der Zusammenhänge zwischen den einzelnen Stoffgebieten - linearen Gleichungssystemen, Matrizen, Determinanten, Vektoren, linearen Transformationen und Eigenwerten.

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Extra resources for Lineare Algebra: Einführung, Grundlagen, Übungen (German Edition)

Example text

20) G = Aut(O), H = G e1 , M = S ⊂ Im(O), p = e1 . Then, as seen in §4, Tp S carries a complex structure, with respect to which, via the isomorphism Ge1 ≈ SU (3) set up in §4, ρ becomes the standard representation π0 of SU (3) on C3 . However, we need to regard ρ as a real representation on Tp S, and then complexify this vector space. 22) {λj , −λj : 1 ≤ j ≤ 3}, λj (x) = xj . We have the following conclusion. 3. 22). 34 References [Ad] [Art] [B] [Br1] [Br2] [H] [LM] [Mcc] [Por] [P] [SV] [T1] [T2] [T3] [T4] [T5] [T6] J.

We have the following conclusion. 3. 22). 34 References [Ad] [Art] [B] [Br1] [Br2] [H] [LM] [Mcc] [Por] [P] [SV] [T1] [T2] [T3] [T4] [T5] [T6] J. Adams, Lectures on Exceptional Lie Groups, Univ. Chicago Press, 1996. M. Artin, Algebra, Prentice-Hall, Englewood Cliffs, NJ, 1991. J. Baez, The octonions, Bull. AMS 39 (2002), 145–205. R. Bryant, Submanifolds and special structures on the octonions, J. Diff. Geom. 17 (1982), 185–232. R. Bryant, On the geometry of almost-complex 6-manifolds, Asian J. Math.

K. McCrimmon, Jordan algebras and their applications, Bull. AMS 84 (1978), 612–627. I. Porteous, Clifford Algebras and Classical Groups, Cambridge Univ. Press, 1995. C. Procesi, Lie Groups – an Approach through Invariants and Representations, Springer, New York, 2007. T. Springer and F. Veldkamp, Octonions, Jordan Algebras, and Exceptional Groups, Springer, Berlin, 2000. M. html M. html M. Taylor, Partial Differential Equations, Vols. , 2011). M. Taylor, Introduction to Differential Equations, Amer.

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