LINEAR ALGEBRA EXPLORE A COMPREHENSIVE INTRODUCTORY TEXT IN LINEAR
ALGEBRA WITH COMPELLING SUPPLEMENTARY MATERIALS, INCLUDING A
COMPANION WEBSITE AND SOLUTIONS MANUALS Linear Algebra delivers a
fulsome exploration of the central concepts in linear algebra,
including multidimensional spaces, linear transformations,
matrices, matrix algebra, determinants, vector spaces, subspaces,
linear independence, basis, inner products, and eigenvectors. While
the text provides challenging problems that engage readers in the
mathematical theory of linear algebra, it is written in an
accessible and simple-to-grasp fashion appropriate for junior
undergraduate students. An emphasis on logic, set theory, and
functions exists throughout the book, and these topics are
introduced early to provide students with a foundation from which
to attack the rest of the material in the text. Linear Algebra
includes accompanying material in the form of a companion website
that features solutions manuals for students and instructors.
Finally, the concluding chapter in the book includes discussions of
advanced topics like generalized eigenvectors, Schur's Lemma,
Jordan canonical form, and quadratic forms. Readers will also
benefit from the inclusion of: A thorough introduction to logic and
set theory, as well as descriptions of functions and linear
transformations An exploration of Euclidean spaces and linear
transformations between Euclidean spaces, including vectors, vector
algebra, orthogonality, the standard matrix, Gauss-Jordan
elimination, inverses, and determinants Discussions of abstract
vector spaces, including subspaces, linear independence, dimension,
and change of basis A treatment on defining geometries on vector
spaces, including the Gram-Schmidt process Perfect for
undergraduate students taking their first course in the subject
matter, Linear Algebra will also earn a place in the libraries of
researchers in computer science or statistics seeking an accessible
and practical foundation in linear algebra.
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