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Introduction to Modern Algebra and Matrix Theory

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Author(s): Otto Schreier, Emanuel Sperner
Series: Chelsea Scientific Books
Edition: 2
Publisher: Chelsea
Year: 1959?

Language: English
Commentary: not the best scan tbh, but better than an epub
Pages: 378+viii
City: New York

Title
Preface
Contents
I. Affine Space; Linear Equations
§ 1. n-dimensional Affine Space
§ 2. Vectors
§ 3. The Concept of Linear Dependence
§ 4. Vector Spaces in Rn
§ 5. Linear Spaces
§ 6. Linear Equations
II. Euclidean Space; Theory of Determinants
§ 7. Euclidean Length
§ 8. Volumes and Determinants
§ 9. The Principal Theorems of Determinant Theory
§ 10. Transformation of Coordinates
§ 11. Construction of Normal Orthogonal Systems and Applications
§ 12. Rigid Motions
§ 13. Affine Transformations
III. Field Theory; The Fundamental Theorem of Algebra
§ 14. The Concept of a Field
§ 15. Polynomials over a Field
§ 16. The Field of Complex Numbers
§ 17. The Fundamental Theorem of Algebra
IV. Elements of Group Theory
§ 18. The Concept of a Group
§ 19. Subgroups; Examples
§ 20. The Basis Theorem for Abelian Groups
V. Linear Transformations and Matrices
§ 21. The Algebra of Linear Transformations
§ 22. Calculation with Matrices
§ 23. The Minimal Polynomial; Invariant Subspaces
§ 24. The Diagonal Form and its Applications
§ 25. The Elementary Divisors of a Polynomial Matrix
§ 26. The Normal Form
Index