| A Modern Introduction to Linear Algebra Contributor(s): Ricardo, Henry (Author) |
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ISBN: 1439800405 ISBN-13: 9781439800409 Publisher: CRC Press OUR PRICE: $209.00 Product Type: Hardcover - Other Formats Published: October 2009 Annotation: Taking a computational, algebraic, and geometric approach to linear algebra, A Modern Introduction to Linear Algebra provides an appealing foundation for a one-semester undergraduate course. This matrix-oriented text focuses on useful concepts at the heart of linear algebra, including finite-dimensional real vector spaces, eigenvalues, quadratic forms, and more. The author presents theoretical and applied examples as well as discussions of numerical aspects. In the appendices, he reviews set theory, sigma notation, mathematical induction, and complex numbers. A solutions manual is available for qualifying instructors. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Measurement |
| Dewey: 512.5 |
| LCCN: 2009013704 |
| Physical Information: 1.4" H x 6.9" W x 10" (2.95 lbs) 670 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Useful Concepts and Results at the Heart of Linear Algebra A 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 |