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1. |
Record Nr. |
UNINA990004685070403321 |
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Autore |
Jorba, Manuel |
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Titolo |
L'obra critica i erudita de Manuel Milà i Fontanals : premi Milà i Fontanals 1983 de l'Institut d'estudis catalans / Manuel Jorba |
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Pubbl/distr/stampa |
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Barcelona : Publicacions de l'Abadia de Montserrat, 1989 |
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ISBN |
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Descrizione fisica |
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Collana |
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Textos i estudis de cultura catalana ; 17 |
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Disciplina |
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Locazione |
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Collocazione |
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849.9 JOR 1 |
849.9 JOR 1BIS |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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2. |
Record Nr. |
UNINA9910337642503321 |
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Autore |
Martínez-Guerra Rafael |
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Titolo |
Algebraic and Differential Methods for Nonlinear Control Theory : Elements of Commutative Algebra and Algebraic Geometry / / by Rafael Martínez-Guerra, Oscar Martínez-Fuentes, Juan Javier Montesinos-García |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (XIV, 196 p. 13 illus., 11 illus. in color.) |
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Collana |
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Mathematical and Analytical Techniques with Applications to Engineering, , 1559-7466 |
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Disciplina |
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Soggetti |
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Engineering mathematics |
Nonlinear Optics |
Control engineering |
System theory |
Control theory |
Engineering Mathematics |
Control and Systems Theory |
Systems Theory, Control |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Mathematical Background -- Group Theory -- Rings -- Matrices and linear equations systems -- Permutations and Determinants -- Vector and Euclidean Spaces -- Linear Transformations -- Matrix Diagonalization and Jordan Canonical Form -- Differential Equations -- Differential Algebra for Nonlinear Control Theory -- Appendix -- Index. |
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Sommario/riassunto |
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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 |
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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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