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Algebraic and Differential Methods for Nonlinear Control Theory
- Elements of Commutative Algebra and Algebraic Geometry
Engelsk
Bogcover for Algebraic and Differential Methods for Nonlinear Control Theory af Rafael Martinez-Guerra, Juan Javier Montesinos-Garcia, Oscar Martinez-Fuentes, 9783030120276
Specifikationer
Sprog:
Engelsk
Sider:
196
ISBN-13:
9783030120276
Indbinding:
Paperback
ISBN-10:
3030120279
Udg. Dato:
28 okt 2020
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
28 okt 2020

Algebraic and Differential Methods for Nonlinear Control Theory

- Elements of Commutative Algebra and Algebraic Geometry
Engelsk
Paperback 2020
Format:

Bog beskrivelse
This book is a short primer in engineering mathematics with a view on applications in nonlinear control theory. In particular, it introduces some elementary concepts of commutative algebra and algebraic geometry which offer a set of tools quite different from the traditional approaches to the subject matter.

This text begins with the study of elementary set and map theory. Chapters 2 and 3 on group theory and rings, respectively, are included because of their important relation to linear algebra, the group of invertible linear maps (or matrices) and the ring of linear maps of a vector space. Homomorphisms and Ideals are dealt with as well at this stage. Chapter 4 is devoted to the theory of matrices and systems of linear equations. Chapter 5 gives some information on permutations, determinants and the inverse of a matrix. Chapter 6 tackles vector spaces over a field, Chapter 7 treats linear maps resp. linear transformations, and in addition the application in linear control theory of some abstract theorems such as the concept of a kernel, the image and dimension of vector spaces are illustrated. Chapter 8 considers the diagonalization of a matrix and their canonical forms. Chapter 9 provides a brief introduction to elementary methods for solving differential equations and, finally, in Chapter 10, nonlinear control theory is introduced from the point of view of differential algebra.

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699,01 kr
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Specifikationer
Sprog:
Engelsk
Sider:
196
ISBN-13:
9783030120276
Indbinding:
Paperback
ISBN-10:
3030120279
Udg. Dato:
28 okt 2020
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
28 okt 2020
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