A Modern Introduction to Linear Algebra Henry Ricardo,
Publisher: Chapman & Hall/CRC
ISBN: 1439800405
DDC: 512.5
Edition: Hardcover; 2009-10-14
Summary:
Useful Concepts and Results at the Heart of Linear AlgebraA one - or
two-semester course for a wide variety of students at the
sophomore/junior undergraduate levelA Modern Introduction to Linear
Algebra provides a rigorous yet accessible matrix-oriented
introduction to the essential concepts of linear algebra. Concrete,
easy-to-understand examples motivate the theory.The book first
discusses vectors, Gaussian elimination, and reduced row echelon
forms. It then offers a thorough introduction to matrix algebra,
including defining the determinant naturally from the PA=LU
factorization of a matrix. The author goes on to cover
finite-dimensional real vector spaces, infinite-dimensional spaces,
linear transformations, and complex vector spaces. The final chapter
presents Hermitian and normal matrices as well as quadratic
forms.Taking a computational, algebraic, and geometric approach to
the subject, this book provides the foundation for later courses in
higher mathematics. It also shows how linear algebra can be used in
various areas of application. Although written in a pencil and paper
manner, the text offers ample opportunities to enhance learning with
calculators or computer usage. Solutions manual available for
qualifying instructors
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