Schutz: GMoTP

1.3 Real Analysis

Well he's not going to teach us much real analysis in 2 pages is he? Shutz has three topics here: definition of an analytic function, an operator on a function, and the commutator of two operators.

1.4 Group Theory

The basics: group axioms, abelian groups, continuous groups, subgroups, group isomorphisms and homomorphisms. Much more on Lie groups will follow in Chapter 3.

1.5 Linear Algebra

He really does expect us to know a bit about this - he mainly just reviews a few definitions.

1.6 Algebra of Square Matrices

There is some content for review here, and it and more will be needed in the work to come. Definitions and basics. Should be able to prove identities 1.41- 1.46. Stuff like Det(AB)=Det(A)Det(B).

1.7 BibliographyThe first nice bibliography section.

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