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Notations and Abbreviations
1 Set-Theoretic and Combinatorial Background
2 Integers and Residues
3 Polynomials and Simple Field Extensions
4 Elementary Functions and Power Series Expansions
5 Ideals, Quotient Rings, and Factorization
6 Vectors
7 Duality
8 Matrices
9 Determinants
10 Euclidean Spaces
11 Projective Spaces
12 Groups
13 Description of Groups
14 Modules over a Principal Ideal Domain
15 Linear Operators
16 Bilinear Forms
17 Quadratic Forms and Quadrics
18 Real Versus Complex
19 Hermitian Spaces
20 Quaternions and Spinors
References
Hints to Selected Exercises
Index.

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