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Methods of Algebraic Geometry in Control Theory: Part I: Scalar Linear Systems and Affine Algebraic Geometry (Modern Birkhäuser Classics)

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Book Details:

  • Author: Peter Falb

  • Publisher: Birkhäuser

  • Edition: 2018 Edition

  • Binding Type: Paperback

  • Format: Import

  • Number of Pages: 202

  • Release Date: 03-09-2018

  • ISBN: 9783319980256

  • Language: English

  • Dimensions: 9.1 x 6.0 x 0.6 inches

About The Book:

Peter Falb’s Algebraic Geometry and Statistical Learning Theory is a thoughtfully crafted introduction to algebraic geometry with a distinct focus on its applications in system theory and control. Specifically designed for students and professionals in engineering and applied sciences, the book presents core concepts of algebraic geometry in a clear, applied context—without compromising on mathematical rigor.

Ideal for those familiar with linear algebra, elementary group theory, and basic linear systems, this volume covers the algebra-geometric treatment of scalar linear systems and sets the foundation for multivariable systems discussed in a subsequent volume. Exercises are integrated throughout to reinforce understanding, making it an effective teaching and self-study resource.

With emphasis on constructive methods and practical insights, this softcover reprint brings a classic and accessible treatment of affine algebraic geometry to a broader audience. A must-have for students, researchers, and professionals at the intersection of mathematics, systems theory, and control engineering.