Charles Darwin University, Queensland University of Technology, University of Adelaide, University of Melbourne
The twelfth Australia and New Zealand edition of Anton’s Elementary Linear Algebra: ApplicationsVersiongives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labelled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.
Highlights relationships among concepts: By continually revisiting the web of relationships among systems of equations, matrices, determinants, vectors, linear transformations, and eigenvalues, Anton helps students to perceive linear algebra as a cohesive subject rather than as a collection of isolated definitions and techniques.
New exercises: Hundreds of new exercises of all types have been added throughout the text.
Mathematically sound: A book with mathematical precision that’s appropriate for mathematics majors, while still maintaining the pedagogical needs of engineering, science and business/economics students.
Chapter 1. Systems of Linear Equations and Matrices
Chapter 2. Determinants
Chapter 3. Euclidean Vector Spaces
Chapter 4. General Vector Spaces
Chapter 5. Eigenvalues and Eigenvectors
Chapter 6. Inner Product Spaces
Chapter 7. Diagonalisation and Quadratic Forms
Chapter 8. General Linear Transformations
Chapter 9. Numerical Methods
Chapter 10. Applications of Linear Algebra
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