Methods of Algebraic Geometry in Control Theory: Part I : Scalar Linear Systems and Affine Algebraic Geometry
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The work Methods of Algebraic Geometry in Control Theory: Part I : Scalar Linear Systems and Affine Algebraic Geometry represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.
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Methods of Algebraic Geometry in Control Theory: Part I : Scalar Linear Systems and Affine Algebraic Geometry
Resource Information
The work Methods of Algebraic Geometry in Control Theory: Part I : Scalar Linear Systems and Affine Algebraic Geometry represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.
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 Methods of Algebraic Geometry in Control Theory: Part I : Scalar Linear Systems and Affine Algebraic Geometry
 Title remainder
 Scalar Linear Systems and Affine Algebraic Geometry
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 by Peter Falb
 Language
 eng
 Summary
 "An introduction to the ideas of algebraic geometry in the motivated context of system theory." Thus the author describes his textbook that has been specifically written to serve the needs of students of systems and control. Without sacrificing mathematical care, the author makes the basic ideas of algebraic geometry accessible to engineers and applied scientists. The emphasis is on constructive methods and clarity rather than abstraction. The student will find here a clear presentation with an applied flavor, of the core ideas in the algebrageometric treatment of scalar linear system theory. The author introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems appearing in a succeeding volume (Part II: Multivariable Linear Systems and Projective Algebraic Geometry). Prerequisites are the basics of linear algebra, some simple notions from topology and the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises are an integral part of the treatment and are used where relevant in the main body of the text. The present, softcover reprint is designed to make this classic textbook available to a wider audience.
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 non fiction
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 Modern BirkhĂ¤user Classics,
 Springer eBooks
 Springer eBooks.
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