Linear Algebra I

Description:

Linear Algebra I and Linear Algebra II, used for a one-year course in the Mathematics Department at New York University's Courant Institute.

subjects: Algebras, linear,  Linear Algebras,  Textbooks,  Mathematics education -- Algebra -- Linear algebra,  Linear and multilinear algebra; matrix theory -- Instructional exposition (textbooks, tutorial papers, etc.).,  Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Linear transformations, semilinear transformations,  Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Determinants, permanents, other special matrix functions,  Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Matrix exponential and similar functions of matrices,  Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Eigenvalues, singular values, and eigenvectors,  Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Canonical forms, reductions, classification,  Sequences, series, summability -- Convergence and divergence of infinite limiting processes -- Convergence and divergence of series and sequences,  Sequences, series, summability -- Convergence and divergence of infinite limiting processes -- Approximation to limiting values (summation of series, etc.).,  Group theory and generalizations -- Permutation groups -- Symmetric groups