Elementary Linear Algebra
Keith Nicholson(Author)
McGraw-Hill Education (Publisher)
2nd Edition
Published on 16. February 2003
Book
Paperback/Softback
608 pages
978-0-07-091142-0 (ISBN)
More details
Edition
2nd edition
Language
English
Place of publication
Maidenhead
Canada
Publishing group
McGraw-Hill Education - Europe
Target group
College/higher education
Dimensions
Height: 249 mm
Width: 203 mm
Thickness: 18 mm
Weight
771 gr
ISBN-13
978-0-07-091142-0 (9780070911420)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Person
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.
Content
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