Elementary Linear Algebra, International Adaptation
12. Auflage September 2025
Softcover
Wiley & Sons Ltd
Elementary Linear Algebra: Applications Version, 12th Edition, gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. In this edition, a new section has been added to describe the applications of linear algebra in emerging fields such as data science, machine learning, climate science, geomatics, and biological modeling. New exercises have been added with special attention to the expanded early introduction
to linear transformations and new examples have been added, where needed, to support the exercise sets. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.
1 Systems of Linear Equations and Matrices
2 Determinants
3 Euclidean Vector Spaces
4 General Vector Spaces
5 Eigenvalues and Eigenvectors
6 Inner Product Spaces
7 Diagonalization and Quadratic Forms
8 General Linear Transformations
9 Numerical Methods
10 Applications of Linear Algebra
APPENDIX A Working with Proofs
APPENDIX B Complex Numbers
ANSWERS TO EXERCISES
INDEX