How Long to Read Methods of Algebraic Geometry in Control Theory: Part II

How Long Does it Take to Read Methods of Algebraic Geometry in Control Theory: Part II?

It takes the average reader 6 hours and 30 minutes to read Methods of Algebraic Geometry in Control Theory: Part II by Peter Falb

Assuming a reading speed of 250 words per minute. Learn more

Description

"An introduction to the ideas of algebraic geometry in the motivated context of system theory." This describes this two volume work which has been specifically written to serve the needs of researchers and students of systems, control, and applied mathematics. Without sacrificing mathematical rigor, 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 on abstraction. While familiarity with Part I is helpful, it is not essential, since a considerable amount of relevant material is included here. Part I, Scalar Linear Systems and Affine Algebraic Geometry, contains a clear presentation, with an applied flavor , of the core ideas in the algebra-geometric treatment of scalar linear system theory. Part II extends the theory to multivariable systems. After delineating limitations of the scalar theory through carefully chosen examples, the author introduces seven representations of a multivariable linear system and establishes the major results of the underlying theory. Of key importance is a clear, detailed analysis of the structure of the space of linear systems including the full set of equations defining the space. Key topics also covered are the Geometric Quotient Theorem and a highly geometric analysis of both state and output feedback. Prerequisites are the basics of linear algebra, some simple topological notions, the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises, which are an integral part of the exposition throughout, combined with an index and extensive bibliography of related literature make this a valuable classroom tool or good self-study resource. The present, softcover reprint is designed to make this classic textbook available to a wider audience. "The exposition is extremely clear. In order to motivate the general theory, the author presents a number of examples of two or three input-, two-output systems in detail. I highly recommend this excellent book to all those interested in the interplay between control theory and algebraic geometry." —Publicationes Mathematicae, Debrecen "This book is the multivariable counterpart of Methods of Algebraic Geometry in Control Theory, Part I.... In the first volume the simpler single-input–single-output time-invariant linear systems were considered and the corresponding simpler affine algebraic geometry was used as the required prerequisite. Obviously, multivariable systems are more difficult and consequently the algebraic results are deeper and less transparent, but essential in the understanding of linear control theory.... Each chapter contains illustrative examples throughout and terminates with some exercises for further study." —Mathematical Reviews

How long is Methods of Algebraic Geometry in Control Theory: Part II?

Methods of Algebraic Geometry in Control Theory: Part II by Peter Falb is 390 pages long, and a total of 97,500 words.

This makes it 132% the length of the average book. It also has 119% more words than the average book.

How Long Does it Take to Read Methods of Algebraic Geometry in Control Theory: Part II Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 52 minutes to read Methods of Algebraic Geometry in Control Theory: Part II aloud.

What Reading Level is Methods of Algebraic Geometry in Control Theory: Part II?

Methods of Algebraic Geometry in Control Theory: Part II is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Methods of Algebraic Geometry in Control Theory: Part II?

Methods of Algebraic Geometry in Control Theory: Part II by Peter Falb is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Methods of Algebraic Geometry in Control Theory: Part II by Peter Falb on Amazon click the button below.