Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study
The authors give early, intensive attention to the skills necessary to make students comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to general theory of abstract vector spaces. It also provides flexbile coverage of practical applications, exploring a comprehensive range of topics.
Ancillary * Maple Algorithmic testing- Maple TA- www.maplesoft.com
Includes a wide variety of applications, technology tips and exercises, organized in chart format for easy reference More than 310 numbered examples in the text at least one for each new concept or application Exercise sets ordered by increasing difficulty, many with multiple parts for a total of more than 2135 questions Provides an early introduction to eigenvalues/eigenvectors A Student solutions manual, containing fully worked out solutions and instructors manual available
The biggest strength of this book is the huge number of problems and exercises. Pretty readable, but not great for developing geometric intuition. Some unconventional choices about the order in which the material is presented (dimension, surjection, injection, and isomorphism come very late, while eigenspaces appear early). All in all, maybe my favorite introductory linear algebra text.