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Titlebook: Algebraic and Differential Methods for Nonlinear Control Theory; Elements of Commutat Rafael Martínez-Guerra,Oscar Martínez-Fuentes,Juan Bo

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發(fā)表于 2025-3-21 16:41:35 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
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2023Rafael Martínez-Guerra,Oscar Martínez-Fuentes,Juan
視頻videohttp://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Titlebook: Algebraic and Differential Methods for Nonlinear Control Theory; Elements of Commutat Rafael Martínez-Guerra,Oscar Martínez-Fuentes,Juan Bo
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
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發(fā)表于 2025-3-21 22:33:15 | 只看該作者
Book 2019entary 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 be
板凳
發(fā)表于 2025-3-22 00:46:53 | 只看該作者
地板
發(fā)表于 2025-3-22 06:33:49 | 只看該作者
1559-7458 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. Chapter978-3-030-12027-6978-3-030-12025-2Series ISSN 1559-7458 Series E-ISSN 1559-7466
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發(fā)表于 2025-3-22 12:44:13 | 只看該作者
Book 2019near 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
6#
發(fā)表于 2025-3-22 15:44:18 | 只看該作者
Group Theory,nd its characteristics, followed by homomorphisms, the chapter concludes with various theorems about isomorphisms, along with the concepts, various examples are provided to facilitate the understanding of the theory. This material ca ben found in any introductory book on abstract algebra (also calle
7#
發(fā)表于 2025-3-22 17:15:12 | 只看該作者
Matrices and Linear Equations Systems,e first subject is algebraic operations with real numbers, then linear operation with real number vectors, followed by the definition of a matrix and its basic operations, next the change of basis for a matrix is given, finally Gauss Jordan method is presented.
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發(fā)表于 2025-3-22 22:21:32 | 只看該作者
Vector and Euclidean Spaces, by generated subspace, linear dependence and independence, bases and dimension, quotient space, Euclidean spaces and finally the GramSchidt process is given, every section includes several proposed and solved exercises.
9#
發(fā)表于 2025-3-23 03:34:52 | 只看該作者
Differential Equations,nomena that can be represented with differential equations, after that we introduce definitions and methods for first order and second order linear differential equations, various exercises are given to the reader to better illustrate the contents of this chapter.
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發(fā)表于 2025-3-23 06:09:53 | 只看該作者
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