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Cover Title page Preface Chapter I General Ideas of Linear Systems Theory 1. Introduction 2. A Definition of a "System" in Terms of Differential Equations 3. Equivalent and Linearly Equivalent Linear Time-Invariant Systems 4. Impulse Response and Transfer Functionsj Observability and Controllability 5. Completely Controllable and Observable Systems Chapter II Ideas of Algebraic Geometry 1. Introduction 2. Polynomials 3. Affine Algebraic Varieties 4. Projective Algebraic Varieties 5. Homogeneous and Inhomogeneous Coordinates 6. The Riemann Sphere and the Complex Projective Line 7. Linear Fractional and Projective Transformations Chapter III The Algebra of Polynomials (blank page) 1. Introduction 2. Polynomials with Coefficients in a Ring 3. Integral Domains and Quotlent Fields 4. The Algebra of Polynomials Over a Field 5. The Resultant of Two Polynomials 6. Resultant System of More Than Two Polynomials Chapter IV General Properties of Affine and Projective Varieties 1. Introduction (missing) 2. Irreducible Varieties and Rational Functions 3. Dimension of Affine Varieties 4. The Zariski Topology 5. The Projective Embedding of the Grassman Space Chapter V Linear Systems with Scalar In

Who reads Linear Systems Theory and Introductory Algebraic Geometry?

Author

Robert Hermann

Publisher

Math-Sci Press

Published

1974

Language

EN

ISBN

9780915692071

Category

mathematics

Subjects

Mathematics, Stem

Updated

2026-03-25