The main goal of Linear Algebra and Its Applications 5th Edition is to help students master the basic concepts and skills they will use later in their careers. The topics here follow the recommendations of the Linear Algebra Curriculum Study Group, which were based on a careful investigation of the real needs of the students and a consensus among professionals in many disciplines that use linear algebra.
The Fifth Edition includes additional support for concept- and proof-based learning. Conceptual Practice Problems and their solutions have been added so that most sections now have a proof- or concept-based example for students to review. Additional guidance has also been added to some of the proofs of theorems in the body of this Linear Algebra textbook.
More than 25 percent of the exercises are new or updated, especially the computational exercises. The exercise sets remain one of the most important features of this book, and these new exercises follow the same high standard of the exercise sets from the past four editions. They are crafted in a way that reflects the substance of each of the sections they follow, developing the students’ confidence while challenging them to practice and generalize the new ideas they have encountered.
- Early Introduction of Key Concepts – Many fundamental ideas of linear algebra are introduced within the first seven lectures, in the concrete setting of Rn, and then gradually examined from different points of view.
- A Modern View of Matrix Multiplication – The definitions and proofs focus on the columns of a matrix rather than on the matrix entries.
- Linear Transformations – Linear transformations form a “thread” that is woven into the fabric of the text. Their use enhances the geometric flavor of the text.
- Eigenvalues and Dynamical Systems – Eigenvalues appear fairly early in the text, in Chapters 5 and 7. Because this material is spread over several weeks, students have more time than usual to absorb and review these critical concepts.
- Orthogonality and Least-Squares Problems – These topics receive a more comprehensive treatment than is commonly found in beginning texts.
Release: January 3rd, 2015.
Pages: 579 (in PDF)
Size: 32 MB
Authors: David C. Lay, Steven R. Lay, Judi J. McDonald
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