Elementary Linear Algebra
Published on 16. April 2001
Book
Paperback/Softback
608 pages
978-0-07-089229-3 (ISBN)
More details
Language
English
Place of publication
New York
United States
Publishing group
McGraw-Hill Education - Europe
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 246 mm
Width: 201 mm
Thickness: 25 mm
Weight
1021 gr
ISBN-13
978-0-07-089229-3 (9780070892293)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective 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 1Linear Equations and Matrices Section 1.1 MatricesSection 1.2 Linear EquationsSection 1.3 Homogeneous Systems Section 1.4 Matrix MultiplicationSection 1.5 Matrix InversesSection 1.6 Elementary MatricesSection 1.7LU-Factorization Section1.8Application to Markov Chains Chapter 2 Determinants and Diagonalization Section 2.1 The Laplace Expansion Section 2.2 Determinants and InversesSection 2.3 Diagonalization and EigenvaluesSection 2.4Linear Dynamical SystemsSection 2.5Complex EigenvaluesSection 2.6 Linear RecurrencesSection 2.7 Polynomial InterpolationSection 2.8 Systems of Differential Equations Chapter 3Vector Geometry Section 3.1 Geometric Vectors Section 3.2Dot Product and Projections Section 3.3Lines and Planes Section 3.4The Cross Product Section 3.5Matrix Transformations of R2 Chapter 4The Vector Space Rn Section 4.1Subspaces and Spanning Section 4.2Linear Independence Section 4.3Dimension Section 4.4Rank Section 4.5Orthogonality Section 4.6Projections and Approximation Section 4.7Orthogonal Diagonalization Section 4.8Quadratic FormsSection 4.9Linear Transformations Section 4.10Complex Matrices Section 4.11Singular Value Decomposition Chapter 5Vector Spaces Section 5.1Examples and Basic Properties Section 5.2Independence and Dimension Section 5.3Linear Transformations Section 5.4Isomorphisms and Matrices Section 5.5Linear Operators and Similarity Section 5.6Invariant Subspaces Section 5.7General Inner Products Appendix Review of Trigonometry A.1Basic Trigonometry A.2Induction A.3Polynomials