Elementary Linear Algebra

2. Auflage 2003
ISBN: 978-0-07-091142-0
Verlag: McGraw-Hill Education

Buch, Englisch, Format (B × H): 203 mm x 249 mm, Gewicht: 771 g

Autoren/Hrsg.

Nicholson, Keith

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

Chapter 1 Linear Equations and Matrices 1.1 Matrices 1.2 Linear Equations 1.3 Homogeneous Systems 1.4 Matrix Multiplication 1.5 Matrix Inverses 1.6 Elementary Matrices 1.7 Lu-Factorization 1.8 Application ot Markov Chains Chapter 2 Determinants and Eigenvalues 2.1 Cofactor Expansions 2.2 Determinants and Inversees 2.3 Diagonalization and Eigenvalues 2.4 Linear Dynamical Systems 2.5 Complex Eignevalues 2.6 Linear Recurrences 2.7 Polynomial Interpolation 2.8 Systems of Differential Equations Chapter 3 Vector Geometry 3.1 Geometric Vectors 3.2 Dot Product and Projections 3.3 Lines and Planes 3.4 Matrix Transformation of R^2 3.5 The Cross Product: Optional Chapter 4 The Vector Space R^n 4.1 Subspaces and Spanning 4.2 Linear Independence 4.3 Dimension 4.4 Rank 4.5 Orthogonality 4.6 Projections and Approximation 4.7 Orthogonal Diagonalization 4.8 Quadratic Forms 4.9 Linear Transformations 4.10 Complex Matrices 4.11 Singular Value Decomposition Chapter 5 Vector Spaces 5.1 Examples and Basic Properties 5.2 Independence and Dimension 5.3 Linear Transformations 5.4 Isomorphisms and Matrices 5.5 Linear Operations and Similarity 5.6 Invariant Subspaces 5.7 General Inner Products Appendix A.1 Basic Trigonometry A.2 Induction A.3 Polynomials

Über Autor(innen)

Nicholson, Keith
Dr. W. Keith Nicholson earned his undergraduate Degree in Applied Mathematics at the University of Alberta, and received his Ph.D. in Pure Mathematics from the University of California at Santa Barbara in 1970. He then moved to the University of Calgary, and has been a professor in the Department of Mathematics and Statistics since 1979, where he has been carrying out research in a branch of algebra called "Ring Theory". His continuing interest in teaching undergraduate students has led to another book in Linear Algebra (now in its third edition), a text in Abstract Algebra (second edition), and the creation (with Professor Claude Laflamme), of an internet tutorial for Linear Algebra called ILAW (Interactive Linear Algebra on the Web). Keith is married and has two grown sons.