Methods of Algebraic Geometry in Control Theory: Part I: Scalar Linear Systems and Affine Algebraic Geometry (Modern Birkhäuser Classics) 1st Edition by Peter Falb (PDF)

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

User’s Reviews

Editorial Reviews: From the Back Cover “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. About the Author Peter Falb is a Professor Emeritus of Applied Mathematics at Brown University.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐the content is like a old control system book, it is a SISO book, when i read this, i sense there will be many works need to complete in algebraic when compare modern control system in numeric

⭐

Keywords

Free Download Methods of Algebraic Geometry in Control Theory: Part I: Scalar Linear Systems and Affine Algebraic Geometry (Modern Birkhäuser Classics) 1st Edition in PDF format
Methods of Algebraic Geometry in Control Theory: Part I: Scalar Linear Systems and Affine Algebraic Geometry (Modern Birkhäuser Classics) 1st Edition PDF Free Download
Download Methods of Algebraic Geometry in Control Theory: Part I: Scalar Linear Systems and Affine Algebraic Geometry (Modern Birkhäuser Classics) 1st Edition 2018 PDF Free
Methods of Algebraic Geometry in Control Theory: Part I: Scalar Linear Systems and Affine Algebraic Geometry (Modern Birkhäuser Classics) 1st Edition 2018 PDF Free Download
Download Methods of Algebraic Geometry in Control Theory: Part I: Scalar Linear Systems and Affine Algebraic Geometry (Modern Birkhäuser Classics) 1st Edition PDF
Free Download Ebook Methods of Algebraic Geometry in Control Theory: Part I: Scalar Linear Systems and Affine Algebraic Geometry (Modern Birkhäuser Classics) 1st Edition