Peter Falb

(Author)

Methods of Algebraic Geometry in Control Theory: Part I: Scalar Linear Systems and Affine Algebraic Geometry (2018)Paperback - 2018, 3 September 2018

Methods of Algebraic Geometry in Control Theory: Part I: Scalar Linear Systems and Affine Algebraic Geometry (2018)
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Part of Series
Modern Birkhäuser Classics
Print Length
202 pages
Language
English
Publisher
Birkhauser
Date Published
3 Sep 2018
ISBN-10
3319980254
ISBN-13
9783319980256

Description

"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 algebra-geometric 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.
"This book is a concise development of affine algebraic geometry together with very explicit links to the applications...[and] should address a wide community of readers, among pure and applied mathematicians." --Monatshefte für Mathematik

Product Details

Author:
Peter Falb
Book Edition:
2018
Book Format:
Paperback
Country of Origin:
NL
Date Published:
3 September 2018
Dimensions:
23.39 x 15.6 x 1.14 cm
ISBN-10:
3319980254
ISBN-13:
9783319980256
Language:
English
Location:
Cham
Pages:
202
Publisher:
Weight:
303.91 gm

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