Algebraic and Differential Methods for Nonlinear Control Theory (Record no. 76401)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04229nam a22006015i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-030-12025-2 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220801214504.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190130s2019 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030120252 |
| -- | 978-3-030-12025-2 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620.00151 |
| 100 1# - AUTHOR NAME | |
| Author | Martínez-Guerra, Rafael. |
| 245 10 - TITLE STATEMENT | |
| Title | Algebraic and Differential Methods for Nonlinear Control Theory |
| Sub Title | Elements of Commutative Algebra and Algebraic Geometry / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIV, 196 p. 13 illus., 11 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Mathematical and Analytical Techniques with Applications to Engineering, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Martínez-Fuentes, Oscar. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Montesinos-García, Juan Javier. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-030-12025-2 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2019. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear Optics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Control engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | System theory. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Control theory. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear Optics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Control and Systems Theory. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Systems Theory, Control . |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 1559-7466 |
| 912 ## - | |
| -- | ZDB-2-ENG |
| 912 ## - | |
| -- | ZDB-2-SXE |
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