Linear Algebra

Hamilton College, Clinton, New York, USA

• Preface for the Instructor. Foreword. A Little Logic. An Introduction to Vector Spaces. Vector Spaces in General. A Numerical Interlude—Systems of Linear Equations. The Structure of Vector Spaces. Linear Transformations. Linear Transformations and Matrices. Determinants. Eigenvalues and Eigenvectors. Answers to Selected Problems. Index.

"Knop (Hamilton College) speaks directly to undergraduates with the intention of not only teaching concepts and skills pertaining to the field of linear algebra, but also encouraging them to read mathematics . . . Most importantly, perhaps, is the author saw a positive response in his students’ performance in linear algebra when this book was used in his class."– J.T. Zerger, Catawba College, in Choice: Current Reviews for Academic Libraries, August 2009, Vol. 46, No. 11"To summarize, by limiting the mathematical scope of the book, and by carefully smoothing the path from the particular to the general, the author has provided an alternative approach to linear algebra that will be of interest to many of those who currently teach it." – Peter Ruane, in MAA Online, February 2009