A Modern Introduction to Linear Algebra: 1st Edition (Paperback) book cover

A Modern Introduction to Linear Algebra

1st Edition

By Henry Ricardo

Chapman and Hall/CRC

670 pages

Purchasing Options:$ = USD
Paperback: 9780367385040
pub: 2019-10-07
SAVE ~$14.99
$74.95
$59.96
x
Hardback: 9781439800409
pub: 2009-10-21
SAVE ~$29.00
$145.00
$116.00
x
eBook (VitalSource) : 9780429184413
pub: 2009-10-21
from $37.48


FREE Standard Shipping!

Description

Useful Concepts and Results at the Heart of Linear Algebra

A one- or two-semester course for a wide variety of students at the sophomore/junior undergraduate level



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

Table of Contents

Vectors. Systems of Equations, Matrix Algebra. Eigenvalues, Eigenvectors, and Diagonalization. Vector Spaces. Linear Transformations. Inner Product Spaces. Hermitian Matrices and Quadratic Forms. Appendices. Answers/Hints to Odd-Numbered Problems. Index.

About the Author

Henry Ricardo is a professor of mathematics at Medgar Evers College of the City University of New York, where he was presented with the 2008 Distinguished Service Award by the School of Science, Health and Technology. Dr. Ricardo was also given the 2009 Distinguished Service Award by the Metropolitan New York Section of the MAA, of which he is the Governor.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT002000
MATHEMATICS / Algebra / General
MAT020000
MATHEMATICS / Mensuration