- #1
daster
I just finished by G. Shilov, but I don't know which one to pick.
Here are their TOCs:
An Introduction to Linear Algebra - L. Mirksy
Part 1 - Determinants, Vectors, Matrices, and Linear Eqations
I. Determinants
II. Vector Spaces and Linear Manifolds
III. The Algebra of Matrices
IV. Linear Operators
V. Systems of Linear Equations and Rank of Matrices
VI. Elementary Operations and the Concept of Equivalence
Part 2 - Further Development of Matrix Theory
VII. The Characteristic Equation
VIII. Orthogonal and Unitary Matrices
IX. Groups
X. Canonical Forms
XI. Matrix Analysis
Part 3 - Quadratic Forms
XII. Bilinear, Quadratic, and Hermitian Forms
XIII. Definite and Indefinite Forms
Linear Algebra - G. Shilov
I. Determinants
II. Linear Spaces
III. Systems of Linear Equations
IV. Linear Functions of a Vector Argument
V. Coordinate Transformations
VI. The Canonical Form of the Matrix of a Linear Operator
VII. Bilinear and Quadratic Forms
VIII. Euclidean Spaces
IX. Unitary Spaces
X. Quadratic Forms in Euclidean and Unitary Spaces
XI. Finite-Dimensional Algebras and their Representations
I'd appreciate any help. And if you pick one, could you please explain your choice? I'm also open to other suggestions, but please keep in mind the following:
1. I'm on a very limited budget
2. I'm only a high school senior, so nothing too advanced!
Thank you.
Here are their TOCs:
An Introduction to Linear Algebra - L. Mirksy
Part 1 - Determinants, Vectors, Matrices, and Linear Eqations
I. Determinants
II. Vector Spaces and Linear Manifolds
III. The Algebra of Matrices
IV. Linear Operators
V. Systems of Linear Equations and Rank of Matrices
VI. Elementary Operations and the Concept of Equivalence
Part 2 - Further Development of Matrix Theory
VII. The Characteristic Equation
VIII. Orthogonal and Unitary Matrices
IX. Groups
X. Canonical Forms
XI. Matrix Analysis
Part 3 - Quadratic Forms
XII. Bilinear, Quadratic, and Hermitian Forms
XIII. Definite and Indefinite Forms
Linear Algebra - G. Shilov
I. Determinants
II. Linear Spaces
III. Systems of Linear Equations
IV. Linear Functions of a Vector Argument
V. Coordinate Transformations
VI. The Canonical Form of the Matrix of a Linear Operator
VII. Bilinear and Quadratic Forms
VIII. Euclidean Spaces
IX. Unitary Spaces
X. Quadratic Forms in Euclidean and Unitary Spaces
XI. Finite-Dimensional Algebras and their Representations
I'd appreciate any help. And if you pick one, could you please explain your choice? I'm also open to other suggestions, but please keep in mind the following:
1. I'm on a very limited budget
2. I'm only a high school senior, so nothing too advanced!
Thank you.
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