Now in its 2nd edition, Linear Algebra with Applications blends computational and conceptual topics to prepare students for the rigors of conceptual thinking in an abstract setting. The early treatment of conceptual topics in the context of Euclidean space gives students more time, and a familiar setting, in which to absorb them. This organization also makes it possible to treat eigenvalues and eigenvectors earlier than in most texts. Abstract vector spaces are introduced later, once students have developed a solid conceptual foundation.
Concepts and topics are frequently accompanied by applications to provide context and motivation. Because many students learn by example, Linear Algebra with Applications provides a large number of representative examples, over and above those used to introduce topics. The text also has over 2500 exercises, covering computational and conceptual topics over a range of difficulty levels.
Early integration of computational and conceptual topics helps students absorb and digest conceptual topics early, then provides opportunities to apply them when working with eigenvalues and eigenvectors.
The focus on applications provides an understanding of why a topic is of interest and motivates students to engage with the instruction.
Over 2,500 extensive exercise sets cover a wide range of types (from computational to conceptual to proofs) and difficulty levels.
Additional representative examples reinforce students learning by going far beyond the initial examples used to introduce or explain a topic.
Coverage of numerical methods throughout the text shows students how solving linear algebra problems would work in the real world and makes them aware of how real numbers would be used.
New_to_this_edition
Practice Problems, a new exercise type, have been added. These are located at the end of each section to provide students with an opportunity to check their understanding of the section material before moving on to completing exercises for homework.
Supplementary Exercises, another new type of exercise, offer extra end-of-chapter practice.