Language: English
ISBN/ISSN: 9787030188885
Published on: 2007-01
Paperback
Chapter 0 Integers, Number Fields and Polynomials
PartⅠ General Theory of Systems of Linear Equations
Introduction
Setting-up of Systems of Linear Equations and Method of Elimination
Chapter 1 Algebra of Matrices
Chapter 2 The Determinant Method for a Special Class of Linear Equations (Cramer’s Rule)
Chapter 3 General Theory of Systems of Linear Equations
Chapter 4 Linear Spaces and Systems of Linear Equations
Chapter 5 Symmetric Bilinear Metric Spaces and Systems of Linear Equations
PartⅡ The Principal Axes Problem of Real Quadratic Forms
Introduction
Geometric Origin of the Principal Axes Problem of Quadratic Forms
Chapter 6 Linear Transformations on Linear Spaces
Chapter 7 A Class of Direct Sum Decompositions of Linear Spaces Relative to Linear Transformations
Chapter 8 Two Classes of Linear Transformations on Euclidean Spaces and the Principal Axes Problem of Quadratic Forms
Chapter 9 Further Development—Similarity Canonical Forms of Matrices
