| 期刊全稱(chēng) | Algebraic and Differential Methods for Nonlinear Control Theory | | 期刊簡(jiǎn)稱(chēng) | Elements of Commutat | | 影響因子2023 | Rafael Martínez-Guerra,Oscar Martínez-Fuentes,Juan | | 視頻video | http://file.papertrans.cn/153/152752/152752.mp4 | | 發(fā)行地址 | Self-contained and concise primer.Geared towards applications in nonlinear control theory.Emphasizes tools from ?commutative algebra and algebraic geometry | | 學(xué)科分類(lèi) | Mathematical and Analytical Techniques with Applications to Engineering | | 圖書(shū)封面 |  | | 影響因子 | 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 | | Pindex | Book 2019 |
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