Essential Linear Algebra with Applications: A Problem-Solving Approach

Key features:

* Intertwined discussion of linear algebra and geometry, giving readers a solid understanding of both topics and the relationship between them

* Each section starts with a concise overview of important concepts in results, followed by a selection of fully-solved problems

* Example-driven exposition

* Over 500 problems (roughly half include complete solutions) that are carefully selected for instructive appeal, elegance, and theoretical importance

* Two or more solutions provided to many of the problems; paired solutions range from step-by-step, elementary methods whose purpose is to strengthen basic comprehension to more sophisticated, powerful proofs to challenge advanced readers

* Appendices with review material on complex variables

Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject’s hallmark.