Suppose, e. One area which you have seen to be absolutely central to the modern mathematical curriculum is abstract algebra. It depends what base you are starting from, of course.
What then? Its presentation of even quite complex ideas is typically exemplary, both in giving motivation, and in explaining official definitions, presenting the proofs etc, and all often written with a light touch.
Algebra: Chapter 0
So this is admirable. The chapter titles indicate the coverage.
II, Groups, first encounter the basics done very clearly. III, Rings and Modules getting as far as a first look at complexes and homology and exact sequences.
IV, Groups, second encounter. V, Irreducibility and factorization in integral domains. VI, Linear algebra.
VII, Fields. VIII, Linear algebra, reprise.
IX, Homological algebra. Logic Matters : Book Notes.
Skip to content. Aluffi, Algebra: Chapter 0 Suppose, e.
Back to Math Logic book pages.