Title: Invitation to Nonlinear Algebra
Description: "The pdf contains a draft title page, draft copyright page and a draft manuscript"--
Subjects: Mathematics, Nonlinear theories, Mathematical analysis, Combinatorics {For finite fields, see 11Txx} -- Algebraic combinatorics -- Combinatorial aspects of commutative algebra, Commutative algebra -- General commutative ring theory -- Actions of groups on commutative rings; invariant theory [See also 14L24], Commutative algebra -- Computational aspects and applications [See also 14Qxx, 68W30] -- Solving polynomial systems; resultants, Algebraic geometry -- Computational aspects in algebraic geometry [See also 12Y05, 13Pxx, 68W30] -- Higher-dimensional varieties, Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Multilinear algebra, tensor products, Group theory and generalizations -- Linear algebraic groups and related topics {For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation the, Convex and discrete geometry -- Polytopes and polyhedra -- Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx], Operations research, mathematical programming -- Mathematical programming [See also 49Mxx, 65Kxx] -- Semidefinite programming